• University of South Carolina
  • Smart State SC

DASIV Publications

  1. Alexander Kiselev and Changhui Tan.
    Global regularity for 1D Eulerian dynamics with singular interaction forces
    SIAM J. Math. Anal., 50(6), 6208-6229. BibTeX arXiv:1707.07296
    @article {doi:10.1137/17M1141515,
        AUTHOR = {Kiselev, A. and Tan, C.},
         TITLE = {Global Regularity for 1D Eulerian Dynamics with Singular
                  Interaction Forces},
       JOURNAL = {SIAM Journal on Mathematical Analysis},
        VOLUME = {50},
        NUMBER = {6},
         PAGES = {6208-6229},
          YEAR = {2018},
           DOI = {10.1137/17M1141515},
           URL = {https://doi.org/10.1137/17M1141515},
    }
  2. Alina Chertock, Changhui Tan, and Bokai Yan.
    An asymptotic preserving scheme for kinetic models with singular limit
    Kinetic & Related Models, 2018, 11 (4) : 735-756. BibTeX arXiv:1706.09568
    @articleInfo {1937-5093_2018_4_735,
         TITLE = "An asymptotic preserving scheme for kinetic models with
                  singular limit",
        AUTHOR = "Alina Chertock","Changhui Tan","Bokai Yan",
       JOURNAL = "Kinetic & Related Models",
        VOLUME = "11",
        NUMBER = "1937-5093_2018_4_735",
         PAGES = "735",
          YEAR = "2018",
          ISSN = "1937-5093",
           DOI = "10.3934/krm.2018030",
           URL = "http://aimsciences.org//article/id/ac90463e-b4fb-4978-ad66-3522e729a0be",
    }
  3. Tam Do, Alexander Kiselev, Lenya Ryzhik, Changhui Tan.
    Global regularity for the fractional Euler alignment system
    Arch Rational Mech Anal. (2018) 228: 1. 1-37 BibTeX arXiv:1701.05155
    @article {Do2018,
        AUTHOR = "Do, Tam and Kiselev, Alexander and Ryzhik, Lenya and Tan,
                  Changhui",
         TITLE = "Global Regularity for the Fractional Euler Alignment System",
       JOURNAL = "Archive for Rational Mechanics and Analysis",
          YEAR = "2018",
         MONTH = "Apr",
           DAY = "01",
        VOLUME = "228",
        NUMBER = "1",
         PAGES = "1--37",
          ISSN = "1432-0673",
           DOI = "10.1007/s00205-017-1184-2",
           URL = "https://doi.org/10.1007/s00205-017-1184-2"
    }
  4. Alexander Kiselev and Changhui Tan.
    Finite time blow up in the hyperbolic Boussinesq system
    Adv. Math. 325 (2018), 34-55. BibTeX arXiv:1609.02468
    @article {MR3742585,
        AUTHOR = {Kiselev, Alexander and Tan, Changhui},
         TITLE = {Finite time blow up in the hyperbolic {B}oussinesq system},
       JOURNAL = {Adv. Math.},
      FJOURNAL = {Advances in Mathematics},
        VOLUME = {325},
          YEAR = {2018},
         PAGES = {34--55},
          ISSN = {0001-8708},
       MRCLASS = {35Q53 (35B44)},
      MRNUMBER = {3742585},
    MRREVIEWER = {Ryan Cole Thompson},
           DOI = {10.1016/j.aim.2017.11.019},
           URL = {https://doi.org/10.1016/j.aim.2017.11.019},
    }
  5. Changhui Tan.
    A discontinuous Galerkin method on kinetic flocking models
    Math. Models Methods Appl. Sci. 27 (2017), no. 7, 1199-1221. BibTeX arXiv:1409.5509
    @article {MR3659050,
        AUTHOR = {Tan, Changhui},
         TITLE = {A discontinuous {G}alerkin method on kinetic flocking models},
       JOURNAL = {Math. Models Methods Appl. Sci.},
      FJOURNAL = {Mathematical Models and Methods in Applied Sciences},
        VOLUME = {27},
          YEAR = {2017},
        NUMBER = {7},
         PAGES = {1199--1221},
          ISSN = {0218-2025},
       MRCLASS = {65M60 (35Q83 92D50)},
      MRNUMBER = {3659050},
           DOI = {10.1142/S0218202517400139},
           URL = {https://doi.org/10.1142/S0218202517400139},
    }
  6. Guannan Zhang, Clayton G. Webster, Max Gunzburger, and John Burkardt.
    Hyperspherical Sparse Approximation Techniques for High-Dimensional Discontinuity Detection
    SIAM Rev. 58 (2016), no. 3, 517-551. BibTeX
    @article {MR3532800,
        AUTHOR = {Zhang, Guannan and Webster, Clayton G. and Gunzburger, Max and
                  Burkardt, John},
         TITLE = {Hyperspherical sparse approximation techniques for
                  high-dimensional discontinuity detection [reprint of
                  {MR}3359679]},
       JOURNAL = {SIAM Rev.},
      FJOURNAL = {SIAM Review},
        VOLUME = {58},
          YEAR = {2016},
        NUMBER = {3},
         PAGES = {517--551},
          ISSN = {0036-1445},
       MRCLASS = {65D10 (01A75 65C20 65C30 65D15 65N12 65N15 65N35)},
      MRNUMBER = {3532800},
           DOI = {10.1137/16M1071699},
           URL = {https://doi.org/10.1137/16M1071699},
    }
  7. Feifei Xu, Max Gunzburger, and John Burkardt.
    A multiscale method for nonlocal mechanics and diffusion and for the approximation of discontinuous functions
    Comput. Methods Appl. Mech. Engrg. 307 (2016), 117-143. BibTeX
    @article {MR3511709,
        AUTHOR = {Xu, Feifei and Gunzburger, Max and Burkardt, John},
         TITLE = {A multiscale method for nonlocal mechanics and diffusion and
                  for the approximation of discontinuous functions},
       JOURNAL = {Comput. Methods Appl. Mech. Engrg.},
      FJOURNAL = {Computer Methods in Applied Mechanics and Engineering},
        VOLUME = {307},
          YEAR = {2016},
         PAGES = {117--143},
          ISSN = {0045-7825},
       MRCLASS = {65N30 (74A05)},
      MRNUMBER = {3511709},
    MRREVIEWER = {Giuseppe Viglialoro},
           DOI = {10.1016/j.cma.2016.04.020},
           URL = {https://doi.org/10.1016/j.cma.2016.04.020},
    }
  8. Markus Bachmayr, Albert Cohen, Wolfgang Dahmen.
    Parametric PDEs: Sparse or low-rank approximations?
    IMA J. Numer. Anal. 38 (2018), no. 4, 1661-1708. BibTeX
    @article {MR3867379,
        AUTHOR = {Bachmayr, Markus and Cohen, Albert and Dahmen, Wolfgang},
         TITLE = {Parametric {PDE}s: sparse or low-rank approximations?},
       JOURNAL = {IMA J. Numer. Anal.},
      FJOURNAL = {IMA Journal of Numerical Analysis},
        VOLUME = {38},
          YEAR = {2018},
        NUMBER = {4},
         PAGES = {1661--1708},
          ISSN = {0272-4979},
       MRCLASS = {Prelim},
      MRNUMBER = {3867379},
           DOI = {10.1093/imanum/drx052},
           URL = {https://doi.org/10.1093/imanum/drx052},
    }
  9. Razvan Fetecau, Weiran Sun, and Changhui Tan..
    First-order aggregation models with alignment
    Phys. D 325 (2016), 146-163. BibTeX arXiv:1505.07316
    @article {MR3493040,
        AUTHOR = {Fetecau, Razvan C. and Sun, Weiran and Tan, Changhui},
         TITLE = {First-order aggregation models with alignment},
       JOURNAL = {Phys. D},
      FJOURNAL = {Physica D. Nonlinear Phenomena},
        VOLUME = {325},
          YEAR = {2016},
         PAGES = {146--163},
          ISSN = {0167-2789},
       MRCLASS = {92D50 (35F25 35L65 35Q92)},
      MRNUMBER = {3493040},
    MRREVIEWER = {Roberta De Luca},
           DOI = {10.1016/j.physd.2016.03.011},
           URL = {https://doi.org/10.1016/j.physd.2016.03.011},
    }
  10. Thomas Rey and Changhui Tan.
    An Exact Rescaling Velocity Method for some Kinetic Flocking Models
    SIAM J. Numer. Anal. 54 (2016), no. 2, 641-664. BibTeX arXiv:1410.7617
    @article {MR3473595,
        AUTHOR = {Rey, Thomas and Tan, Changhui},
         TITLE = {An exact rescaling velocity method for some kinetic flocking
                  models},
       JOURNAL = {SIAM J. Numer. Anal.},
      FJOURNAL = {SIAM Journal on Numerical Analysis},
        VOLUME = {54},
          YEAR = {2016},
        NUMBER = {2},
         PAGES = {641--664},
          ISSN = {0036-1429},
       MRCLASS = {82C40 (65M08)},
      MRNUMBER = {3473595},
           DOI = {10.1137/140993430},
           URL = {https://doi.org/10.1137/140993430},
    }
  11. Feifei Xu, Max Gunzburger, John Burkardt, and Qiang Du.
    A Multiscale Implementation Based on Adaptive Mesh Refinement for the Nonlocal Peridynamics Model in One Dimension
    Multiscale Model. Simul. 14 (2016), no. 1, 398-429. BibTeX
    @article {MR3472006,
        AUTHOR = {Xu, Feifei and Gunzburger, Max and Burkardt, John and Du,
                  Qiang},
         TITLE = {A multiscale implementation based on adaptive mesh refinement
                  for the nonlocal peridynamics model in one dimension},
       JOURNAL = {Multiscale Model. Simul.},
      FJOURNAL = {Multiscale Modeling \& Simulation. A SIAM Interdisciplinary
                  Journal},
        VOLUME = {14},
          YEAR = {2016},
        NUMBER = {1},
         PAGES = {398--429},
          ISSN = {1540-3459},
       MRCLASS = {65R20 (35Q74 45B05 74A45 74A99)},
      MRNUMBER = {3472006},
    MRREVIEWER = {Michael J. Carley},
           DOI = {10.1137/15M1010300},
           URL = {https://doi.org/10.1137/15M1010300},
    }
  12. Wolfgang Dahmen, Gitta Kutyniok, Wang-Q Lim, Christoph Schwab, Gerrit Welper.
    Adaptive Anisotropic Petrov-Galerkin Methods for First Order Transport Equations
    J. Comput. Appl. Math. 340 (2018), 191-220. BibTeX
    @article {MR3807796,
        AUTHOR = {Dahmen, Wolfgang and Kutyniok, Gitta and Lim, Wang-Q and
                  Schwab, Christoph and Welper, Gerrit},
         TITLE = {Adaptive anisotropic {P}etrov-{G}alerkin methods for first
                  order transport equations},
       JOURNAL = {J. Comput. Appl. Math.},
      FJOURNAL = {Journal of Computational and Applied Mathematics},
        VOLUME = {340},
          YEAR = {2018},
         PAGES = {191--220},
          ISSN = {0377-0427},
       MRCLASS = {65N30 (65J15 65N12 65N15)},
      MRNUMBER = {3807796},
           DOI = {10.1016/j.cam.2018.02.023},
           URL = {https://doi.org/10.1016/j.cam.2018.02.023},
    }
  13. Giulia Deolmi, Wolfgang Dahmen, Siegfried Müller.
    Effective boundary conditions: a general strategy and application to compressible flows over rough boundaries
    Commun. Comput. Phys. 21 (2017), no. 2, 358-400. BibTeX
    @article {MR3642228,
        AUTHOR = {Deolmi, Giulia and Dahmen, Wolfgang and M\"{u}ller, Siegfried},
         TITLE = {Effective boundary conditions: a general strategy and
                  application to compressible flows over rough boundaries},
       JOURNAL = {Commun. Comput. Phys.},
      FJOURNAL = {Communications in Computational Physics},
        VOLUME = {21},
          YEAR = {2017},
        NUMBER = {2},
         PAGES = {358--400},
          ISSN = {1815-2406},
       MRCLASS = {76G25 (74Q15)},
      MRNUMBER = {3642228},
           DOI = {10.4208/cicp.OA-2016-0015},
           URL = {https://doi.org/10.4208/cicp.OA-2016-0015},
    }
  14. José Carrillo, Young-Pil Choi, Eitan Tadmor, and Changhui Tan.
    Critical thresholds in 1D Euler equations with non-local forces
    Math. Models Methods Appl. Sci. 26 (2016), no. 1, 185-206. BibTeX arXiv:1411.1791
    @article {MR3417728,
        AUTHOR = {Carrillo, Jos\'{e} A. and Choi, Young-Pil and Tadmor, Eitan and
                  Tan, Changhui},
         TITLE = {Critical thresholds in 1{D} {E}uler equations with non-local
                  forces},
       JOURNAL = {Math. Models Methods Appl. Sci.},
      FJOURNAL = {Mathematical Models and Methods in Applied Sciences},
        VOLUME = {26},
          YEAR = {2016},
        NUMBER = {1},
         PAGES = {185--206},
          ISSN = {0218-2025},
       MRCLASS = {35Q35 (35A01 35Q31 76N10)},
      MRNUMBER = {3417728},
           DOI = {10.1142/S0218202516500068},
           URL = {https://doi.org/10.1142/S0218202516500068},
    }
  15. Dirk Broersen, Wolfgang Dahmen and Rob P. Steveson.
    On the Stability of DPG Formulations of Transport Equations
    Math. Comp. 87 (2018), no. 311, 1051-1082. BibTeX
    @article {MR3766381,
        AUTHOR = {Broersen, D. and Dahmen, W. and Stevenson, R. P.},
         TITLE = {On the stability of {DPG} formulations of transport equations},
       JOURNAL = {Math. Comp.},
      FJOURNAL = {Mathematics of Computation},
        VOLUME = {87},
          YEAR = {2018},
        NUMBER = {311},
         PAGES = {1051--1082},
          ISSN = {0025-5718},
       MRCLASS = {65N30 (35A15 35F05 65N12)},
      MRNUMBER = {3766381},
           DOI = {10.1090/mcom/3242},
           URL = {https://doi.org/10.1090/mcom/3242},
    }
  16. G. Zhang, C. Webster, M. Gunzburger, and J. Burkardt.
    A Hyperspherical Adaptive Sparse-Grid Method for High-Dimensional Discontinuity Detection
    SIAM J. Numer. Anal. 53 (2015), no. 3, 1508-1536. BibTeX
    @article {MR3359679,
        AUTHOR = {Zhang, G. and Webster, C. and Gunzburger, M. and Burkardt, J.},
         TITLE = {A hyperspherical adaptive sparse-grid method for
                  high-dimensional discontinuity detection},
       JOURNAL = {SIAM J. Numer. Anal.},
      FJOURNAL = {SIAM Journal on Numerical Analysis},
        VOLUME = {53},
          YEAR = {2015},
        NUMBER = {3},
         PAGES = {1508--1536},
          ISSN = {0036-1429},
       MRCLASS = {65D10 (65C20 65C30 65D15 65N12 65N15 65N35)},
      MRNUMBER = {3359679},
    MRREVIEWER = {Alice de Jesus Kozakevicius},
           DOI = {10.1137/140971531},
           URL = {https://doi.org/10.1137/140971531},
    }
  17. Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk.
    Data Assimilation in Reduced Modeling
    SIAM/ASA J. Uncertain. Quantif. 5 (2017), no. 1, 1-29. BibTeX
    @article {MR3590658,
        AUTHOR = {Binev, Peter and Cohen, Albert and Dahmen, Wolfgang and
                  DeVore, Ronald and Petrova, Guergana and Wojtaszczyk,
                  Przemyslaw},
         TITLE = {Data assimilation in reduced modeling},
       JOURNAL = {SIAM/ASA J. Uncertain. Quantif.},
      FJOURNAL = {SIAM/ASA Journal on Uncertainty Quantification},
        VOLUME = {5},
          YEAR = {2017},
        NUMBER = {1},
         PAGES = {1--29},
          ISSN = {2166-2525},
       MRCLASS = {62M45 (65J22 68Q32 97N50)},
      MRNUMBER = {3590658},
           DOI = {10.1137/15M1025384},
           URL = {https://doi.org/10.1137/15M1025384},
    }
  18. Albert Cohen, Wolfgang Dahmen, Ronald DeVore.
    Orthogonal Matching Pursuit under the Restricted Isometry Property
    Constr. Approx. 45 (2017), no. 1, 113-127. BibTeX
    @article {MR3590699,
        AUTHOR = {Cohen, Albert and Dahmen, Wolfgang and DeVore, Ronald},
         TITLE = {Orthogonal matching pursuit under the restricted isometry
                  property},
       JOURNAL = {Constr. Approx.},
      FJOURNAL = {Constructive Approximation. An International Journal for
                  Approximations and Expansions},
        VOLUME = {45},
          YEAR = {2017},
        NUMBER = {1},
         PAGES = {113--127},
          ISSN = {0176-4276},
       MRCLASS = {94A12 (15B52 41A46 68P30 94A15)},
      MRNUMBER = {3590699},
    MRREVIEWER = {Vladimir V. Galatenko},
           DOI = {10.1007/s00365-016-9338-2},
           URL = {https://doi.org/10.1007/s00365-016-9338-2},
    }
  19. Hans-Werner van Wyk, Max Gunzburger, John Burkhardt, and Miroslav Stoyanov.
    Power-Law Noises over General Spatial Domains and on Nonstandard Meshes
    SIAM/ASA J. Uncertain. Quantif. 3 (2015), no. 1, 296-319. BibTeX
    @article {MR3338005,
        AUTHOR = {van Wyk, Hans-Werner and Gunzburger, Max and Burkhardt, John
                  and Stoyanov, Miroslav},
         TITLE = {Power-law noises over general spatial domains and on
                  nonstandard meshes},
       JOURNAL = {SIAM/ASA J. Uncertain. Quantif.},
      FJOURNAL = {SIAM/ASA Journal on Uncertainty Quantification},
        VOLUME = {3},
          YEAR = {2015},
        NUMBER = {1},
         PAGES = {296--319},
          ISSN = {2166-2525},
       MRCLASS = {60G60 (65C50)},
      MRNUMBER = {3338005},
           DOI = {10.1137/140985433},
           URL = {https://doi.org/10.1137/140985433},
    }
  20. Garvie, M.R., Burkardt, J., and Morgan, J. Bull.
    Simple Finite Element Methods for Approximating Predator-Prey Dynamics in Two Dimensions Using Matlab
    Bull. Math. Biol. 77 (2015), no. 3, 548-578. BibTeX
    @article {MR3327461,
        AUTHOR = {Garvie, Marcus R. and Burkardt, John and Morgan, Jeff},
         TITLE = {Simple finite element methods for approximating predator-prey
                  dynamics in two dimensions using {M}atlab},
       JOURNAL = {Bull. Math. Biol.},
      FJOURNAL = {Bulletin of Mathematical Biology},
        VOLUME = {77},
          YEAR = {2015},
        NUMBER = {3},
         PAGES = {548--578},
          ISSN = {0092-8240},
       MRCLASS = {92D25 (92-08)},
      MRNUMBER = {3327461},
           DOI = {10.1007/s11538-015-0062-z},
           URL = {https://doi.org/10.1007/s11538-015-0062-z},
    }
  21. Wolfgang Dahmen.
    How to Best Sample a Solution Manifold?
    Appl. Numer. Harmon. Anal., Birkhäuser/Springer, Cham, 2015. BibTeX
    @incollection {MR3468148,
        AUTHOR = {Dahmen, Wolfgang},
         TITLE = {How to best sample a solution manifold?},
     BOOKTITLE = {Sampling theory, a renaissance},
        SERIES = {Appl. Numer. Harmon. Anal.},
         PAGES = {403--435},
     PUBLISHER = {Birkh\"{a}user/Springer, Cham},
          YEAR = {2015},
       MRCLASS = {94A20 (35B30 65J05)},
      MRNUMBER = {3468148},
    MRREVIEWER = {Runyi Yu},
    }
  22. Markus Bachmayr, Wolfgang Dahmen.
    Adaptive Low-Rank Methods for Problems on Sobolev Spaces with Error Control in L 2
    ESAIM Math. Model. Numer. Anal. 50 (2016), no. 4, 1107-1136. BibTeX
    @article {MR3521714,
        AUTHOR = {Bachmayr, M. and Dahmen, W.},
         TITLE = {Adaptive low-rank methods for problems on {S}obolev spaces
                  with error control in {${\rm L}_2$}},
       JOURNAL = {ESAIM Math. Model. Numer. Anal.},
      FJOURNAL = {ESAIM. Mathematical Modelling and Numerical Analysis},
        VOLUME = {50},
          YEAR = {2016},
        NUMBER = {4},
         PAGES = {1107--1136},
          ISSN = {0764-583X},
       MRCLASS = {65N22 (65F08)},
      MRNUMBER = {3521714},
    MRREVIEWER = {Jennifer Pestana},
           DOI = {10.1051/m2an/2015071},
           URL = {https://doi.org/10.1051/m2an/2015071},
    }
  23. Eitan Tadmor and Changhui Tan.
    Critical thresholds in flocking hydrodynamics with non-local alignment
    Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 372 (2014), no. 2028, 20130401 BibTeX arXiv:1403.0991
    @article {MR3268063,
        AUTHOR = {Tadmor, Eitan and Tan, Changhui},
         TITLE = {Critical thresholds in flocking hydrodynamics with non-local
                  alignment},
       JOURNAL = {Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.},
      FJOURNAL = {Philosophical Transactions of the Royal Society of London.
                  Series A. Mathematical, Physical and Engineering Sciences},
        VOLUME = {372},
          YEAR = {2014},
        NUMBER = {2028},
         PAGES = {20130401, 22},
          ISSN = {1364-503X},
       MRCLASS = {35Q35 (35B40 76N10)},
      MRNUMBER = {3268063},
    MRREVIEWER = {Jianwei Yang},
           DOI = {10.1098/rsta.2013.0401},
           URL = {https://doi.org/10.1098/rsta.2013.0401},
    }
  24. Wolfgang Dahmen, Ronald Devore, Lars Grasedyck, Endre Süli.
    Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations
    Found. Comput. Math. 16 (2016), no. 4, 813-874. BibTeX
    @article {MR3529127,
        AUTHOR = {Dahmen, Wolfgang and DeVore, Ronald and Grasedyck, Lars and
                  S\"{u}li, Endre},
         TITLE = {Tensor-sparsity of solutions to high-dimensional elliptic
                  partial differential equations},
       JOURNAL = {Found. Comput. Math.},
      FJOURNAL = {Foundations of Computational Mathematics. The Journal of the
                  Society for the Foundations of Computational Mathematics},
        VOLUME = {16},
          YEAR = {2016},
        NUMBER = {4},
         PAGES = {813--874},
          ISSN = {1615-3375},
       MRCLASS = {35J25 (65N99)},
      MRNUMBER = {3529127},
    MRREVIEWER = {Siegfried Carl},
           DOI = {10.1007/s10208-015-9265-9},
           URL = {https://doi.org/10.1007/s10208-015-9265-9},
    }
  25. Markus Bachmayr, Wolfgang Dahmen.
    Adaptive Low-Rank Methods: Problems on Sobolev Spaces
    SIAM J. Numer. Anal. 54 (2016), no. 2, 744-796. BibTeX
    @article {MR3474850,
        AUTHOR = {Bachmayr, Markus and Dahmen, Wolfgang},
         TITLE = {Adaptive low-rank methods: problems on {S}obolev spaces},
       JOURNAL = {SIAM J. Numer. Anal.},
      FJOURNAL = {SIAM Journal on Numerical Analysis},
        VOLUME = {54},
          YEAR = {2016},
        NUMBER = {2},
         PAGES = {744--796},
          ISSN = {0036-1429},
       MRCLASS = {65J10 (65D99)},
      MRNUMBER = {3474850},
    MRREVIEWER = {Frank Werner},
           DOI = {10.1137/140978223},
           URL = {https://doi.org/10.1137/140978223},
    }
  26. Giulia Deolmi, Wolfgang Dahmen, Siegfried Müller.
    Effective Boundary Conditions for Compressible Flows over Rough Boundaries
    Math. Models Methods Appl. Sci. 25 (2015), no. 7, 1257-1297. BibTeX
    @article {MR3335531,
        AUTHOR = {Deolmi, Giulia and Dahmen, Wolfgang and M\"{u}ller, Siegfried},
         TITLE = {Effective boundary conditions for compressible flows over
                  rough boundaries},
       JOURNAL = {Math. Models Methods Appl. Sci.},
      FJOURNAL = {Mathematical Models and Methods in Applied Sciences},
        VOLUME = {25},
          YEAR = {2015},
        NUMBER = {7},
         PAGES = {1257--1297},
          ISSN = {0218-2025},
       MRCLASS = {35Q35 (35B27 74Q15 76G25)},
      MRNUMBER = {3335531},
           DOI = {10.1142/S0218202515500323},
           URL = {https://doi.org/10.1142/S0218202515500323},
    }
  27. Wolfgang Dahmen, Chunyan Huang, Gitta Kutyniok, Wang-Q Lim, Christoph Schwab, Gerrit Welper.
    Efficient Resolution of Anisotropic Structures
    Lect. Notes Comput. Sci. Eng. 102, Springer, Cham, 2014. BibTeX
    @incollection {MR3329330,
        AUTHOR = {Dahmen, Wolfgang and Huang, Chunyan and Kutyniok, Gitta and
                  Lim, Wang-Q and Schwab, Christoph and Welper, Gerrit},
         TITLE = {Efficient resolution of anisotropic structures},
     BOOKTITLE = {Extraction of quantifiable information from complex systems},
        SERIES = {Lect. Notes Comput. Sci. Eng.},
        VOLUME = {102},
         PAGES = {25--51},
     PUBLISHER = {Springer, Cham},
          YEAR = {2014},
       MRCLASS = {65N30 (41A46)},
      MRNUMBER = {3329330},
           DOI = {10.1007/978-3-319-08159-5_2},
           URL = {https://doi.org/10.1007/978-3-319-08159-5_2},
    }
  28. Kolja Brix, Claudio Canuto, Wolfgang Dahmen.
    Legendre-Gauss-Lobatto Grids and Associated Nested Dyadic Grids
    Numer. Math. 131 (2015), no. 2, 205-239. BibTeX
    @article {MR3385145,
        AUTHOR = {Brix, Kolja and Canuto, Claudio and Dahmen, Wolfgang},
         TITLE = {Nested dyadic grids associated with
                  {L}egendre-{G}auss-{L}obatto grids},
       JOURNAL = {Numer. Math.},
      FJOURNAL = {Numerische Mathematik},
        VOLUME = {131},
          YEAR = {2015},
        NUMBER = {2},
         PAGES = {205--239},
          ISSN = {0029-599X},
       MRCLASS = {65N35 (33C45 34C10 65N50)},
      MRNUMBER = {3385145},
    MRREVIEWER = {Brian Bradie},
           DOI = {10.1007/s00211-014-0691-4},
           URL = {https://doi.org/10.1007/s00211-014-0691-4},
    }
  29. Wolfgang Dahmen, Thomas Gotzen, Siegfried Müller.
    Numerical Simulation of Transpiration Cooling through Porous Material
    Internat. J. Numer. Methods Fluids 76 (2014), no. 6, 331-365. BibTeX
    @article {MR3265146,
        AUTHOR = {Dahmen, W. and Gotzen, T. and M\"{u}ller, S. and Rom, M.},
         TITLE = {Numerical simulation of transpiration cooling through porous
                  material},
       JOURNAL = {Internat. J. Numer. Methods Fluids},
      FJOURNAL = {International Journal for Numerical Methods in Fluids},
        VOLUME = {76},
          YEAR = {2014},
        NUMBER = {6},
         PAGES = {331--365},
          ISSN = {0271-2091},
       MRCLASS = {65M08 (65M60 76S05)},
      MRNUMBER = {3265146},
    MRREVIEWER = {Qing Fang},
           DOI = {10.1002/fld.3935},
           URL = {https://doi.org/10.1002/fld.3935},
    }
  30. Markus Bachmayr, Wolfgang Dahmen.
    Adaptive Near-Optimal Rank Tensor Approximation for High-Dimensional Operator Equations
    Found. Comput. Math. 15 (2015), no. 4, 839-898. BibTeX
    @article {MR3371372,
        AUTHOR = {Bachmayr, Markus and Dahmen, Wolfgang},
         TITLE = {Adaptive near-optimal rank tensor approximation for
                  high-dimensional operator equations},
       JOURNAL = {Found. Comput. Math.},
      FJOURNAL = {Foundations of Computational Mathematics. The Journal of the
                  Society for the Foundations of Computational Mathematics},
        VOLUME = {15},
          YEAR = {2015},
        NUMBER = {4},
         PAGES = {839--898},
          ISSN = {1615-3375},
       MRCLASS = {65J10 (41A46 41A63 65N12 65N15 65N30 65Y20 68Q25)},
      MRNUMBER = {3371372},
    MRREVIEWER = {Uno H\"{a}marik},
           DOI = {10.1007/s10208-013-9187-3},
           URL = {https://doi.org/10.1007/s10208-013-9187-3},
    }
  31. Markus Bachmayr, Wolfgang Dahmen, Ronald DeVore, Lars Grasedyck.
    Approximation of High-Dimensional Rank One Tensors
    Constr. Approx. 39 (2014), no. 2, 385-395. BibTeX
    @article {MR3171380,
        AUTHOR = {Bachmayr, Markus and Dahmen, Wolfgang and DeVore, Ronald and
                  Grasedyck, Lars},
         TITLE = {Approximation of high-dimensional rank one tensors},
       JOURNAL = {Constr. Approx.},
      FJOURNAL = {Constructive Approximation. An International Journal for
                  Approximations and Expansions},
        VOLUME = {39},
          YEAR = {2014},
        NUMBER = {2},
         PAGES = {385--395},
          ISSN = {0176-4276},
       MRCLASS = {41A63},
      MRNUMBER = {3171380},
           DOI = {10.1007/s00365-013-9219-x},
           URL = {https://doi.org/10.1007/s00365-013-9219-x},
    }
  32. Wolfgang Dahmen, Christian Plesken, Gerrit Welper.
    Double Greedy Algorithms: Reduced Basis Methods for Transport Dominated Problems
    ESAIM Math. Model. Numer. Anal. 48 (2014), no. 3, 623-663. BibTeX
    @article {MR3177860,
        AUTHOR = {Dahmen, Wolfgang and Plesken, Christian and Welper, Gerrit},
         TITLE = {Double greedy algorithms: reduced basis methods for transport
                  dominated problems},
       JOURNAL = {ESAIM Math. Model. Numer. Anal.},
      FJOURNAL = {ESAIM. Mathematical Modelling and Numerical Analysis},
        VOLUME = {48},
          YEAR = {2014},
        NUMBER = {3},
         PAGES = {623--663},
          ISSN = {0764-583X},
       MRCLASS = {65J10 (65Nxx)},
      MRNUMBER = {3177860},
           DOI = {10.1051/m2an/2013103},
           URL = {https://doi.org/10.1051/m2an/2013103},
    }
  33. Kolja Brix, Martin Campos Pinto, Claudio Canuto, Wolfgang Dahmen.
    Multilevel Preconditioning of Discontinuous-Galerkin Spectral Element Methods Part I: Geometrically Conforming Meshes
    IMA J. Numer. Anal. 35 (2015), no. 4, 1487-1532. BibTeX
    @article {MR3407234,
        AUTHOR = {Brix, Kolja and Campos Pinto, Martin and Canuto, Claudio and
                  Dahmen, Wolfgang},
         TITLE = {Multilevel preconditioning of discontinuous {G}alerkin
                  spectral element methods. {P}art {I}: geometrically conforming
                  meshes},
       JOURNAL = {IMA J. Numer. Anal.},
      FJOURNAL = {IMA Journal of Numerical Analysis},
        VOLUME = {35},
          YEAR = {2015},
        NUMBER = {4},
         PAGES = {1487--1532},
          ISSN = {0272-4979},
       MRCLASS = {65N22 (65F08 65N30 65N35)},
      MRNUMBER = {3407234},
    MRREVIEWER = {Daniele Bertaccini},
           DOI = {10.1093/imanum/dru053},
           URL = {https://doi.org/10.1093/imanum/dru053},
    }
  34. Kolja Brix, Claudio Canuto, Wolfgang Dahmen.
    Robust Preconditioners for DG-Discretizations with Arbitrary Polynomial Degrees
    Lect. Notes Comput. Sci. Eng. 98, Springer, Cham, 2014. BibTeX
    @InProceedings{10.1007/978-3-319-05789-7_51,
         AUTHOR = "Brix, Kolja and Canuto, Claudio and Dahmen, Wolfgang",
         EDITOR = "Erhel, Jocelyne and Gander, Martin J. and Halpern, Laurence
                   and Pichot, G{\'e}raldine and Sassi, Taoufik and Widlund,
                   Olof",
          TITLE = "Robust Preconditioners for DG-Discretizations with
                   Arbitrary Polynomial Degrees",
      BOOKTITLE = "Domain Decomposition Methods in Science and Engineering XXI",
           YEAR = "2014",
      PUBLISHER = "Springer International Publishing",
        ADDRESS = "Cham",
          PAGES = "537--545",
           ISBN = "978-3-319-05789-7"
    }
  35. Peter Binev, Albert Cohen, Wolfgang Dahmen and Ronald DeVore.
    Classification Algorithms using Adaptive Partitioning
    Ann. Statist. 42 (2014), no. 6, 2141-2163. BibTeX
    @article {MR3269976,
        AUTHOR = {Binev, Peter and Cohen, Albert and Dahmen, Wolfgang and
                  DeVore, Ronald},
         TITLE = {Classification algorithms using adaptive partitioning},
       JOURNAL = {Ann. Statist.},
      FJOURNAL = {The Annals of Statistics},
        VOLUME = {42},
          YEAR = {2014},
        NUMBER = {6},
         PAGES = {2141--2163},
          ISSN = {0090-5364},
       MRCLASS = {62H30 (65Y20 68Q32)},
      MRNUMBER = {3269976},
    MRREVIEWER = {Vladimir V. Galatenko},
           DOI = {10.1214/14-AOS1234},
           URL = {https://doi.org/10.1214/14-AOS1234},
    }
  36. Eitan Tadmor and Changhui Tan.
    Hierarchical Construction of Bounded Solutions of div U=F in Critical Regularity Spaces
    Nonlinear partial differential equations, 255-269, Abel Symp., 7, Springer, Heidelberg, 2012. BibTeX
    @incollection {MR3289369,
        AUTHOR = {Tadmor, Eitan and Tan, Changhui},
         TITLE = {Hierarchical construction of bounded solutions of {${\rm
                  div}\,U=F$} in critical regularity spaces},
     BOOKTITLE = {Nonlinear partial differential equations},
        SERIES = {Abel Symp.},
        VOLUME = {7},
         PAGES = {255--269},
     PUBLISHER = {Springer, Heidelberg},
          YEAR = {2012},
       MRCLASS = {35F05 (35A15 35B10)},
      MRNUMBER = {3289369},
           DOI = {10.1007/978-3-642-25361-4_14},
           URL = {https://doi.org/10.1007/978-3-642-25361-4_14},
    }
  37. Wolfgang Dahmen, Thomas Gotzen, Siegfried Müller, Roland Schäfer.
    Adaptive Multiresolution Finite Volume Discretization of the Variational Multiscale Method. General Framework.
    BibTeX
    @misc{1Dahmen_adaptive,
        AUTHOR = {W. Dahmen and T. Gotzen and S. M\"{u}ller and R. Sch\"{a}fer},
         TITLE = {1Adaptive multiresolution finite volume discretization of
                  the Variational Multiscale Method. General Framework.},
          YEAR = {2011}
    }
  38. Wolfgang Dahmen, Thomas Gotzen , Silvia Sorana Melian-Flamand, Siegfried Müller.
    Numerical Simulation of Cooling Gas Injection Using Adaptive Multiscale Techniques
    Internat. J. Numer. Methods Fluids 76 (2014), no. 6, 331-365. BibTeX
    @article{article,
        AUTHOR = {Dahmen, Wolfgang and Gotzen, Thomas and M\"{u}ller, Siegfried},
          YEAR = {2010},
         MONTH = {07},
         PAGES = {14-17},
         TITLE = {Numerical simulation of cooling gas injection using
                  adaptive multiscale techniques}
    }
  39. Albert Cohen, Wolfgang Dahmen, Gerrit Welper.
    Adaptivity and Variational Stabilization for Convection-Diffusion Equations
    ESAIM Math. Model. Numer. Anal. 46 (2012), no. 5, 1247-1273. BibTeX
    @article {MR2916380,
        AUTHOR = {Cohen, Albert and Dahmen, Wolfgang and Welper, Gerrit},
         TITLE = {Adaptivity and variational stabilization for
                  convection-diffusion equations},
       JOURNAL = {ESAIM Math. Model. Numer. Anal.},
      FJOURNAL = {ESAIM. Mathematical Modelling and Numerical Analysis},
        VOLUME = {46},
          YEAR = {2012},
        NUMBER = {5},
         PAGES = {1247--1273},
          ISSN = {0764-583X},
       MRCLASS = {65N30 (35B25 35J25 65N15 65N50)},
      MRNUMBER = {2916380},
    MRREVIEWER = {Dietrich Braess},
           DOI = {10.1051/m2an/2012003},
           URL = {https://doi.org/10.1051/m2an/2012003},
    }
  40. Wolfgang Dahmen, Chunyan Huang, Christoph Schwab, Gerrit Welper.
    Adaptive Petrov-Galerkin Methods for First Order Transport Equations
    SIAM J. Numer. Anal. 50 (2012), no. 5, 2420-2445. BibTeX
    @article {MR3022225,
        AUTHOR = {Dahmen, Wolfgang and Huang, Chunyan and Schwab, Christoph and
                  Welper, Gerrit},
         TITLE = {Adaptive {P}etrov-{G}alerkin methods for first order transport
                  equations},
       JOURNAL = {SIAM J. Numer. Anal.},
      FJOURNAL = {SIAM Journal on Numerical Analysis},
        VOLUME = {50},
          YEAR = {2012},
        NUMBER = {5},
         PAGES = {2420--2445},
          ISSN = {0036-1429},
       MRCLASS = {65N30 (65N12 65N15 65N22)},
      MRNUMBER = {3022225},
    MRREVIEWER = {Marius Ghergu},
           DOI = {10.1137/110823158},
           URL = {https://doi.org/10.1137/110823158},
    }
  41. Stoyanov, Miro, Gunzburger, Max, and Burkardt, John.
    Pink noise, $1/f^\alpha$ noise, and their effect on solutions of differential equations
    Int. J. Uncertain. Quantif. 1 (2011), no. 3, 257-278. BibTeX
    @article {MR2843294,
        AUTHOR = {Stoyanov, Miro and Gunzburger, Max and Burkardt, John},
         TITLE = {Pink noise, {$1/f^\alpha$} noise, and their effect on
                  solutions of differential equations},
       JOURNAL = {Int. J. Uncertain. Quantif.},
      FJOURNAL = {International Journal for Uncertainty Quantification},
        VOLUME = {1},
          YEAR = {2011},
        NUMBER = {3},
         PAGES = {257--278},
          ISSN = {2152-5080},
       MRCLASS = {Expansion},
      MRNUMBER = {2843294},
           DOI = {10.1615/Int.J.UncertaintyQuantification.2011003089},
           URL =
                  {https://doi.org/10.1615/Int.J.UncertaintyQuantification.2011003089},
    }
  42. Peter Binev, Wolfgang Dahmen, Ronald DeVore, Philipp Lamby, Daniel Savu, Robert Sharpley.
    Compressed Sensing and Electron Microscopy
    Modeling Nanoscale Imaging in Electron Microscopy. Nanostructure Science and Technology. Springer, Boston, MA. 73-126 BibTeX
    @article {article,
        AUTHOR = {Binev, Peter and Dahmen, Wolfgang and DeVore, Ronald and
                  Lamby, Philipp and Savu, Daniel and Sharpley, Robert},
          YEAR = {2012},
         MONTH = {02},
         TITLE = {High Quality Image Formation by Nonlocal Means Applied to
                  High-Angle Annular Darkfield Scanning Transmission Electron
                  Microscopy (HAADF-STEM)},
           DOI = {10.1007/978-1-4614-2191-7_4}
    }
  43. Peter Binev, Francisco Blanco-Silva, Douglas Blom, Wolfgang Dahmen, Philipp Lamby, Robert Sharpley, Thomas Vogt.
    High Quality Image Formation by Nonlocal Means Applied to High-Angle Annular Darkfield Scanning Transmission Electron Microscopy (HAADF-STEM)
    Modeling Nanoscale Imaging in Electron Microscopy. Nanostructure Science and Technology. Springer, Boston, MA. 127-145 BibTeX
    @article {article,
        AUTHOR = {Binev, Peter and Blanco Silva, Francisco Javier and Blom,
                  Douglas and Dahmen, Wolfgang and Lamby, Philipp and Sharpley,
                  Robert and Vogt, Thomas},
          YEAR = {2012},
         MONTH = {02},
         TITLE = {High Quality Image Formation by Nonlocal Means Applied to
                  High-Angle Annular Darkfield Scanning Transmission Electron
                  Microscopy (HAADF-STEM)},
           DOI = {10.1007/978-1-4614-2191-7_5}
    }
  44. John Burkardt, Max Gunzburger, and Janet Peterson.
    Insensitive Functionals, Inconsistent Gradients, Spurious Minima, and Regularized Functionals in Flow Optimization Problems
    Int. J. Comput. Fluid Dyn. 16 (2002), no. 3, 171-185. BibTeX
    @article {MR1905748,
        AUTHOR = {Burkardt, John and Gunzburger, Max and Peterson, Janet},
         TITLE = {Insensitive functionals, inconsistent gradients, spurious
                  minima, and regularized functionals in flow optimization
                  problems},
       JOURNAL = {Int. J. Comput. Fluid Dyn.},
      FJOURNAL = {International Journal of Computational Fluid Dynamics},
        VOLUME = {16},
          YEAR = {2002},
        NUMBER = {3},
         PAGES = {171--185},
          ISSN = {1061-8562},
       MRCLASS = {49K20 (76D05 76D55 76M30 93C20)},
      MRNUMBER = {1905748},
           DOI = {10.1080/10618560290034663},
           URL = {https://doi.org/10.1080/10618560290034663},
    }
  45. Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk.
    Convergence Rates for Greedy Algorithms in Reduced Basis Methods
    SIAM J. Math. Anal. 43 (2011), no. 3, 1457-1472. BibTeX
    @article {MR2821591,
        AUTHOR = {Binev, Peter and Cohen, Albert and Dahmen, Wolfgang and
                  DeVore, Ronald and Petrova, Guergana and Wojtaszczyk,
                  Przemyslaw},
         TITLE = {Convergence rates for greedy algorithms in reduced basis
                  methods},
       JOURNAL = {SIAM J. Math. Anal.},
      FJOURNAL = {SIAM Journal on Mathematical Analysis},
        VOLUME = {43},
          YEAR = {2011},
        NUMBER = {3},
         PAGES = {1457--1472},
          ISSN = {0036-1410},
       MRCLASS = {41A65 (41A60 49M27 65K10)},
      MRNUMBER = {2821591},
    MRREVIEWER = {Vladimir V. Galatenko},
           DOI = {10.1137/100795772},
           URL = {https://doi.org/10.1137/100795772},
    }
  46. Peter Binev, Wolfgang Dahmen, Philipp Lamby.
    Fast High-Dimensional Approximation with Sparse Occupancy Trees
    J. Comput. Appl. Math. 235 (2011), no. 8, 2063-2076. BibTeX
    @article {MR2763125,
        AUTHOR = {Binev, Peter and Dahmen, Wolfgang and Lamby, Philipp},
         TITLE = {Fast high-dimensional approximation with sparse occupancy
                  trees},
       JOURNAL = {J. Comput. Appl. Math.},
      FJOURNAL = {Journal of Computational and Applied Mathematics},
        VOLUME = {235},
          YEAR = {2011},
        NUMBER = {8},
         PAGES = {2063--2076},
          ISSN = {0377-0427},
       MRCLASS = {65D10 (41A15 41A63)},
      MRNUMBER = {2763125},
    MRREVIEWER = {Antonio L\'{o}pez-Carmona},
           DOI = {10.1016/j.cam.2010.10.005},
           URL = {https://doi.org/10.1016/j.cam.2010.10.005},
    }
  47. Alain Plattner, Hans-Rudolf Maurer, Jürgen Vorloeper, Wolfgang Dahmen.
    Three-Dimensional Geoelectric Modelling with Optimal Work/Accuracy Rate Using an Adaptive Wavelet Algorithm
    Geophys. J. Internat. 182 (2010), no. 2, 741-752. BibTeX
    @article{doi:10.1111/j.1365-246X.2010.04677.x,
        AUTHOR = {Plattner, A. and Maurer, H. R. and Vorloeper, J. and
                  Dahmen, W.},
         TITLE = {Three-dimensional geoelectric modelling with optimal
                  work/accuracy rate using an adaptive wavelet algorithm},
       JOURNAL = {Geophysical Journal International},
        VOLUME = {182},
        NUMBER = {2},
         PAGES = {741--752},
          YEAR = {2010},
           DOI = {10.1111/j.1365-246X.2010.04677.x},
           URL = {http://dx.doi.org/10.1111/j.1365-246X.2010.04677.x},
        EPRINT = {/oup/backfile/content_public/journal/gji/182/2/10.1111/j.1365-246x.2010.04677.x/2/182-2-741.pdf}
    }
  48. Josef Ballmann, Marek Behr, Kolja Brix, Wolfgang Dahmen, Christoph Hohn, Ralf Massjung, Sorana Melian, Siegfried Müller, Gero Schieffer.
    Parallel and Adaptive Methods for Fluid-Structure-Interactions
    Schröder W. (eds) Summary of Flow Modulation and Fluid-Structure Interaction Findings. Notes on Numerical Fluid Mechanics and Multidisciplinary Design 109. Springer, Berlin, Heidelberg, 265-294 BibTeX
    @InProceedings{10.1007/978-3-642-04088-7_11,
         AUTHOR = "Ballmann, Josef and Behr, Marek and Brix, Kolja and Dahmen,
                   Wolfgang and Hohn, Christoph and Massjung, Ralf and Melian,
                   Sorana and M{\"u}ller, Siegfried and Schieffer, Gero",
         EDITOR = "Schr{\"o}der, Wolfgang",
          TITLE = "Parallel and Adaptive Methods for
                   Fluid-Structure-Interactions",
      BOOKTITLE = "Summary of Flow Modulation and Fluid-Structure Interaction
                   Findings",
           YEAR = "2010",
      PUBLISHER = "Springer Berlin Heidelberg",
        ADDRESS = "Berlin, Heidelberg",
          PAGES = "265--294",
           ISBN = "978-3-642-04088-7"
    }
  49. Peter Binev, Francisco Blanco-Silva, Douglas Blom, Wolfgang Dahmen, Robert Sharpley, Tom Vogt.
    Super-Resolution Image Reconstruction by Nonlocal Means applied to High-Angle Annular Darkfield Scanning Transmission Electron Microscopy (HAADF-STEM)
    BibTeX
    @inproceedings{Binev2009SuperResolutionIR,
       TITLE = {Super-Resolution Image Reconstruction by Nonlocal Means
                applied to High-Angle Annular Darkfield Scanning Transmission
                Electron Microscopy ( HAADF-STEM )},
      AUTHOR = {Peter Binev and Francisco Blanco-Silva and Douglas A. Blom
                and Wolfgang Dahmen and Robert Sharpley},
        year = {2009}
    }
  50. Hoa Nguyen, Max Gunzburger, Lili Ju, and John Burkardt.
    Adaptive anisotropic meshing for steady convection-dominated problems
    Comput. Methods Appl. Mech. Engrg. 198 (2009), no. 37-40, 2964-2981. BibTeX
    @article {MR2567853,
        AUTHOR = {Nguyen, Hoa and Gunzburger, Max and Ju, Lili and Burkardt,
                  John},
         TITLE = {Adaptive anisotropic meshing for steady convection-dominated
                  problems},
       JOURNAL = {Comput. Methods Appl. Mech. Engrg.},
      FJOURNAL = {Computer Methods in Applied Mechanics and Engineering},
        VOLUME = {198},
          YEAR = {2009},
        NUMBER = {37-40},
         PAGES = {2964--2981},
          ISSN = {0045-7825},
       MRCLASS = {65N30 (65N12)},
      MRNUMBER = {2567853},
    MRREVIEWER = {Pascal Omnes},
           DOI = {10.1016/j.cma.2009.05.001},
           URL = {https://doi.org/10.1016/j.cma.2009.05.001},
    }
  51. Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser.
    Adaptive Eigenvalue Computation for Elliptic Operators
    BibTeX
    @inproceedings{ZeiserDahmenRohwedderetal.2017,
           AUTHOR = {Andreas Zeiser and W. Dahmen and T. Rohwedder and R.
                     Schneider},
            TITLE = {Adaptive Eigenvalue Computation for Elliptic Operators},
      INSTITUTION = {In Zusammenarbeit mit der Bauhaus-Universit{\"a}t Weimar},
           EDITOR = {Klaus G{\"u}rlebeck and Carsten K{\"o}nke},
              DOI = {10.25643/bauhaus-universitaet.2904},
              URL = {http://euklid.bauing.uni-weimar.de/ikm2009/paper.html},
             YEAR = {2017},
    }
  52. Karl-Heinz Brakhage, Wolfgang Dahmen, Philipp Lamby.
    A Unified Approach to the Modeling of Airplane Wings and Numerical Grid Generation Using B-Spline Representations
    Schröder W. (eds) Summary of Flow Modulation and Fluid-Structure Interaction Findings. Notes on Numerical Fluid Mechanics and Multidisciplinary Design 109. Springer, Berlin, Heidelberg. 239-263 BibTeX
    @InProceedings{10.1007/978-3-642-04088-7_10,
         AUTHOR = "Brakhage, Karl-Heinz and Dahmen, Wolfgang and Lamby, Philipp",
         EDITOR = "Schr{\"o}der, Wolfgang",
          TITLE = "A Unified Approach to the Modeling of Airplane Wings and
                   Numerical Grid Generation Using B-Spline Representations",
      BOOKTITLE = "Summary of Flow Modulation and Fluid-Structure Interaction
                   Findings",
           YEAR = "2010",
      PUBLISHER = "Springer Berlin Heidelberg",
        ADDRESS = "Berlin, Heidelberg",
          PAGES = "239--263",
           ISBN = "978-3-642-04088-7"
    }
  53. Wolfgang Dahmen, Nune Hovhannisyan, Siegfried Müller.
    Adaptive Multiscale Methods for Flow Problems: Recent Developments
    Schröder W. (eds) Summary of Flow Modulation and Fluid-Structure Interaction Findings. Notes on Numerical Fluid Mechanics and Multidisciplinary Design 109. Springer, Berlin, Heidelberg. 77-103 BibTeX
    @InProceedings{10.1007/978-3-642-04088-7_4,
         AUTHOR = "Dahmen, Wolfgang and Hovhannisyan, Nune and M{\"u}ller,
                   Siegfried",
         EDITOR = "Schr{\"o}der, Wolfgang",
          TITLE = "Adaptive Multiscale Methods for Flow Problems: Recent
                   Developments",
      BOOKTITLE = "Summary of Flow Modulation and Fluid-Structure
                   Interaction Findings",
           YEAR = "2010",
      PUBLISHER = "Springer Berlin Heidelberg",
        ADDRESS = "Berlin, Heidelberg",
          PAGES = "77--103",
           ISBN = "978-3-642-04088-7"
    }
  54. Nguyen, Hoa, Burkardt, John, Gunzburger, Max, Ju, Lili, and Saka, Yuki.
    Constrained CVT meshes and a comparison of triangular mesh generators
    Comput. Geom. 42 (2009), no. 1, 1-19. BibTeX
    @article {MR2455499,
        AUTHOR = {Nguyen, Hoa and Burkardt, John and Gunzburger, Max and Ju,
                  Lili and Saka, Yuki},
         TITLE = {Constrained {CVT} meshes and a comparison of triangular mesh
                  generators},
       JOURNAL = {Comput. Geom.},
      FJOURNAL = {Computational Geometry. Theory and Applications},
        VOLUME = {42},
          YEAR = {2009},
        NUMBER = {1},
         PAGES = {1--19},
          ISSN = {0925-7721},
       MRCLASS = {65D17 (52B55 68U05)},
      MRNUMBER = {2455499},
           DOI = {10.1016/j.comgeo.2008.04.002},
           URL = {https://doi.org/10.1016/j.comgeo.2008.04.002},
    }
  55. Albert Cohen, Wolfgang Dahmen, Ronald DeVore.
    Instance Optimal Decoding by Thresholding in Compressed Sensing
    Contemp. Math. 505. Amer. Math. Soc., Providence, RI, 2010. BibTeX
    @incollection {MR2664558,
        AUTHOR = {Cohen, Albert and Dahmen, Wolfgang and DeVore, Ronald},
         TITLE = {Instance optimal decoding by thresholding in compressed
                  sensing},
     BOOKTITLE = {Harmonic analysis and partial differential equations},
        SERIES = {Contemp. Math.},
        VOLUME = {505},
         PAGES = {1--28},
     PUBLISHER = {Amer. Math. Soc., Providence, RI},
          YEAR = {2010},
       MRCLASS = {94A12 (15B52 65C99 68P30)},
      MRNUMBER = {2664558},
    MRREVIEWER = {A. Bultheel},
           DOI = {10.1090/conm/505/09913},
           URL = {https://doi.org/10.1090/conm/505/09913},
    }
  56. MacMillan, Hugh R., Gunzburger, Max D., and Burkardt, John V..
    Meshfree first-order system least squares
    Numer. Math. Theory Methods Appl. 1 (2008), no. 1, 29-43. BibTeX
    @article {MR2401665,
        AUTHOR = {MacMillan, Hugh R. and Gunzburger, Max D. and Burkardt, John
                  V.},
         TITLE = {Meshfree first-order system least squares},
       JOURNAL = {Numer. Math. Theory Methods Appl.},
      FJOURNAL = {Numerical Mathematics. Theory, Methods and Applications},
        VOLUME = {1},
          YEAR = {2008},
        NUMBER = {1},
         PAGES = {29--43},
          ISSN = {1004-8979},
       MRCLASS = {65N30 (65N12)},
      MRNUMBER = {2401665},
    MRREVIEWER = {Martin Stynes},
    }
  57. Kolja Brix, Martin Campos Pinto, Wolfgang Dahmen.
    Multilevel Preconditioners for the Interior Penalty Discontinuous Galerkin Method II Quantitative Studies
    Commun. Comput. Phys. 5 (2009), no. 2-4, 296-325. BibTeX
    @article {MR2513688,
        AUTHOR = {Brix, Kolja and Campos Pinto, Martin and Dahmen, Wolfgang and
                  Massjung, Ralf},
         TITLE = {Multilevel preconditioners for the interior penalty
                  discontinuous {G}alerkin method. {II}. {Q}uantitative studies},
       JOURNAL = {Commun. Comput. Phys.},
      FJOURNAL = {Communications in Computational Physics},
        VOLUME = {5},
          YEAR = {2009},
        NUMBER = {2-4},
         PAGES = {296--325},
          ISSN = {1815-2406},
       MRCLASS = {65F10},
      MRNUMBER = {2513688},
    MRREVIEWER = {Christian Wieners},
    }
  58. Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser.
    Adaptive Eigenvalue Computation - Complexity Estimates
    Numer. Math. (2008) 110: 277 BibTeX
    @Article{Dahmen2008,
        AUTHOR = "Dahmen, Wolfgang and Rohwedder, Thorsten and Schneider,
                  Reinhold and Zeiser, Andreas",
         TITLE = "Adaptive eigenvalue computation: complexity estimates",
       JOURNAL = "Numerische Mathematik",
          YEAR = "2008",
         MONTH = "Jul",
           DAY = "16",
        VOLUME = "110",
        NUMBER = "3",
         PAGES = "277",
          ISSN = "0945-3245",
           DOI = "10.1007/s00211-008-0159-5",
           URL = "https://doi.org/10.1007/s00211-008-0159-5"
    }
  59. Kolja Brix, Martin Campos Pinto, Wolfgang Dahmen.
    A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method
    SIAM J. Numer. Anal. 46 (2008), no. 5, 2742-2768. BibTeX
    @article {MR2421055,
        AUTHOR = {Brix, Kolja and Campos Pinto, Martin and Dahmen, Wolfgang},
         TITLE = {A multilevel preconditioner for the interior penalty
                  discontinuous {G}alerkin method},
       JOURNAL = {SIAM J. Numer. Anal.},
      FJOURNAL = {SIAM Journal on Numerical Analysis},
        VOLUME = {46},
          YEAR = {2008},
        NUMBER = {5},
         PAGES = {2742--2768},
          ISSN = {0036-1429},
       MRCLASS = {65F10 (65N30 65N55)},
      MRNUMBER = {2421055},
    MRREVIEWER = {Christian Wieners},
           DOI = {10.1137/07069691X},
           URL = {https://doi.org/10.1137/07069691X},
    }
  60. Wolfgang Dahmen, Shai Dekel, Pencho Petrushev.
    Two-Level-Split Decomposition of Anisotropic Besov Spaces
    Constr. Approx. 31 (2010), no. 2, 149-194. BibTeX
    @article {MR2581227,
        AUTHOR = {Dahmen, Wolfgang and Dekel, Shai and Petrushev, Pencho},
         TITLE = {Two-level-split decomposition of anisotropic {B}esov spaces},
       JOURNAL = {Constr. Approx.},
      FJOURNAL = {Constructive Approximation. An International Journal for
                  Approximations and Expansions},
        VOLUME = {31},
          YEAR = {2010},
        NUMBER = {2},
         PAGES = {149--194},
          ISSN = {0176-4276},
       MRCLASS = {46E35 (41A15 41A25 41A46 43A85)},
      MRNUMBER = {2581227},
    MRREVIEWER = {Jan Vyb\'{i}ral},
           DOI = {10.1007/s00365-009-9058-y},
           URL = {https://doi.org/10.1007/s00365-009-9058-y},
    }
  61. A. Cohen, W. Dahmen, R. DeVore.
    Near Optimal Approximation of Arbitrary Vectors from Highly Incomplete Measurements
  62. Albert Cohen, Wolfgang Dahmen, Ronald DeVore.
    A Taste of Compressed Sensing
    Proc. SPIE 6576 (2007). BibTeX
    @proceeding{doi: 10.1117/12.725193,
         AUTHOR = {Albert Cohen and Wolfgang Dahmen and Ronald DeVore},
          TITLE = {A taste of compressed sensing},
        JOURNAL = {Proc.SPIE},
         VOLUME = {6576},
          PAGES = {6576 - 6576 - 8},
           YEAR = {2007},
            DOI = {10.1117/12.725193},
            URL = {https://doi.org/10.1117/12.725193},
    }
  63. Saka, Yuki, Gunzburger, Max, and Burkardt, John.
    Latinized, improved LHS, and CVT point sets in hypercubes
    Int. J. Numer. Anal. Model. 4 (2007), no. 3-4, 729-743. BibTeX
    @article {MR2344066,
        AUTHOR = {Saka, Yuki and Gunzburger, Max and Burkardt, John},
         TITLE = {Latinized, improved {LHS}, and {CVT} point sets in hypercubes},
       JOURNAL = {Int. J. Numer. Anal. Model.},
      FJOURNAL = {International Journal of Numerical Analysis and Modeling},
        VOLUME = {4},
          YEAR = {2007},
        NUMBER = {3-4},
         PAGES = {729--743},
          ISSN = {1705-5105},
       MRCLASS = {62D05 (60D05 62H05)},
      MRNUMBER = {2344066},
    }
  64. John Burkardt, Max Gunzburger, and Clayton Webster.
    Reduced order modeling of some nonlinear stochastic partial differential equations
    Int. J. Numer. Anal. Model. 4 (2007), no. 3-4, 368-391. BibTeX
    @article {MR2344047,
        AUTHOR = {Burkardt, John and Gunzburger, Max D. and Webster, Clayton},
         TITLE = {Reduced order modeling of some nonlinear stochastic partial
                  differential equations},
       JOURNAL = {Int. J. Numer. Anal. Model.},
      FJOURNAL = {International Journal of Numerical Analysis and Modeling},
        VOLUME = {4},
          YEAR = {2007},
        NUMBER = {3-4},
         PAGES = {368--391},
          ISSN = {1705-5105},
       MRCLASS = {60H35 (35R60 60H15)},
      MRNUMBER = {2344047},
    }
  65. Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore.
    Universal Piecewise Polynomial Estimators for Machine Learning
    Mod. Methods Math. Nashboro Press, Brentwood, TN, 2007. BibTeX
    @incollection {MR2335129,
        AUTHOR = {Binev, Peter and Cohen, Albert and Dahmen, Wolfgang and
                  DeVore, Ronald},
         TITLE = {Universal piecewise polynomial estimators for machine
                  learning},
     BOOKTITLE = {Curve and surface design: {A}vignon 2006},
        SERIES = {Mod. Methods Math.},
         PAGES = {48--77},
     PUBLISHER = {Nashboro Press, Brentwood, TN},
          YEAR = {2007},
       MRCLASS = {68T05 (62G05)},
      MRNUMBER = {2335129},
    }
  66. John Burkardt, Max Gunzburger, and Hyung-Chun Lee.
    POD and CVT-based reduced-order modeling of Navier-Stokes flows
    Comput. Methods Appl. Mech. Engrg. 196 (2006), no. 1-3, 337-355. BibTeX
    @article {MR2270135,
        AUTHOR = {Burkardt, John and Gunzburger, Max and Lee, Hyung-Chun},
         TITLE = {P{OD} and {CVT}-based reduced-order modeling of
                  {N}avier-{S}tokes flows},
       JOURNAL = {Comput. Methods Appl. Mech. Engrg.},
      FJOURNAL = {Computer Methods in Applied Mechanics and Engineering},
        VOLUME = {196},
          YEAR = {2006},
        NUMBER = {1-3},
         PAGES = {337--355},
          ISSN = {0045-7825},
       MRCLASS = {76D05 (65M60 76M25)},
      MRNUMBER = {2270135},
           DOI = {10.1016/j.cma.2006.04.004},
           URL = {https://doi.org/10.1016/j.cma.2006.04.004},
    }
  67. John Burkardt, Max Gunzburger, and Hyung-Chun Lee.
    Centroidal Voronoi Tessellation-Based Reduced-Order Modeling of Complex Systems
    SIAM J. Sci. Comput., 28(2), 459-484. BibTeX
    @article {MR2231716,
        AUTHOR = {Burkardt, John and Gunzburger, Max and Lee, Hyung-Chun},
         TITLE = {Centroidal {V}oronoi tessellation-based reduced-order modeling
                  of complex systems},
       JOURNAL = {SIAM J. Sci. Comput.},
      FJOURNAL = {SIAM Journal on Scientific Computing},
        VOLUME = {28},
          YEAR = {2006},
        NUMBER = {2},
         PAGES = {459--484},
          ISSN = {1064-8275},
       MRCLASS = {93A30 (35B30 35Q35 62H25 65M70 76D05 76M25 93B11)},
      MRNUMBER = {2231716},
    MRREVIEWER = {Dennis C. Jespersen},
           DOI = {10.1137/5106482750342221x},
           URL = {https://doi.org/10.1137/5106482750342221x},
    }
  68. Albert Cohen, Wolfgang Dahmen, Ronald DeVore.
    Compressed Sensing and Best k-Term Approximation
    J. Amer. Math. Soc. 22 (2009), no. 1, 211-231. BibTeX
    @article {MR2449058,
        AUTHOR = {Cohen, Albert and Dahmen, Wolfgang and DeVore, Ronald},
         TITLE = {Compressed sensing and best {$k$}-term approximation},
       JOURNAL = {J. Amer. Math. Soc.},
      FJOURNAL = {Journal of the American Mathematical Society},
        VOLUME = {22},
          YEAR = {2009},
        NUMBER = {1},
         PAGES = {211--231},
          ISSN = {0894-0347},
       MRCLASS = {94A12 (15B52)},
      MRNUMBER = {2449058},
    MRREVIEWER = {Luoqing Li},
           DOI = {10.1090/S0894-0347-08-00610-3},
           URL = {https://doi.org/10.1090/S0894-0347-08-00610-3},
    }
  69. Andrew Barron, Albert Cohen, Wolfgang Dahmen, Ronald DeVore.
    Approximation and Learning by Greedy Algorithms
    Ann. Statist. 36 (2008), no. 1, 64-94. BibTeX
    @article {MR2387964,
        AUTHOR = {Barron, Andrew R. and Cohen, Albert and Dahmen, Wolfgang and
                  DeVore, Ronald A.},
         TITLE = {Approximation and learning by greedy algorithms},
       JOURNAL = {Ann. Statist.},
      FJOURNAL = {The Annals of Statistics},
        VOLUME = {36},
          YEAR = {2008},
        NUMBER = {1},
         PAGES = {64--94},
          ISSN = {0090-5364},
       MRCLASS = {62G05 (68T05)},
      MRNUMBER = {2387964},
    MRREVIEWER = {Myriam Maumy-Bertrand},
           DOI = {10.1214/009053607000000631},
           URL = {https://doi.org/10.1214/009053607000000631},
    }
  70. Wolfgang Dahmen, Angela Kunoth, Jürgen Vorloeper.
    Convergence of Adaptive Wavelet Methods for Goal-Oriented Error Estimation
    Numerical mathematics and advanced applications Springer, Berlin, 2006. 39-61 BibTeX
    @incollection {MR2303635,
        AUTHOR = {Dahmen, Wolfgang and Kunoth, Angela and Vorloeper, J\"{u}rgen},
         TITLE = {Convergence of adaptive wavelet methods for goal-oriented
                  error estimation},
     BOOKTITLE = {Numerical mathematics and advanced applications},
         PAGES = {39--61},
     PUBLISHER = {Springer, Berlin},
          YEAR = {2006},
       MRCLASS = {65N30 (65T60)},
      MRNUMBER = {2303635},
           DOI = {10.1007/978-3-540-34288-5_3},
           URL = {https://doi.org/10.1007/978-3-540-34288-5_3},
    }
  71. Wolfgang Dahmen, Shai Dekel, Pencho Petrushev.
    Multilevel Preconditioning for Partition of Unity Methods - Some Analytic Concepts
    P. Numer. Math. (2007) 107: 503. BibTeX
    @Article{Dahmen2007,
         AUTHOR = "Dahmen, Wolfgang and Dekel, Shai and Petrushev, Pencho",
          TITLE = "Multilevel preconditioning for partition of unity
                   methods: some analytic concepts",
        JOURNAL = "Numerische Mathematik",
           YEAR = "2007",
          MONTH = "Sep",
            DAY = "01",
         VOLUME = "107",
         NUMBER = "3",
          PAGES = "503--532",
           ISSN = "0945-3245",
            DOI = "10.1007/s00211-007-0089-7",
            URL = "https://doi.org/10.1007/s00211-007-0089-7"
    }
  72. Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore.
    Universal Algorithms for Learning Theory Part II: Piecewise Polynomial Functions
    Constr. Approx. 26 (2007), no. 2, 127-152. BibTeX
    @article{Binev2007,
         AUTHOR = "Binev, Peter and Cohen, Albert and Dahmen, Wolfgang and
                   DeVore, Ronald",
          TITLE = "Universal Algorithms for Learning Theory. Part II:
                    Piecewise Polynomial Functions",
        JOURNAL = "Constructive Approximation",
           YEAR = "2007",
          MONTH = "Aug",
            DAY = "01",
         VOLUME = "26",
         NUMBER = "2",
          PAGES = "127--152",
           ISSN = "1432-0940",
            DOI = "10.1007/s00365-006-0658-z",
            URL = "https://doi.org/10.1007/s00365-006-0658-z"
    }
  73. Wolfgang Dahmen, Markus Jürgens.
    Error Controlled Regularization by Projection
    Electron. Trans. Numer. Anal. 25 (2006), 67-100. BibTeX
    @article {MR2280364,
        AUTHOR = {Dahmen, Wolfgang and J\"{u}rgens, Markus},
         TITLE = {Error controlled regularization by projection},
       JOURNAL = {Electron. Trans. Numer. Anal.},
      FJOURNAL = {Electronic Transactions on Numerical Analysis},
        VOLUME = {25},
          YEAR = {2006},
         PAGES = {67--100},
          ISSN = {1068-9613},
       MRCLASS = {65J20 (47A52 65M30)},
      MRNUMBER = {2280364},
    MRREVIEWER = {Julio G. Dix},
    }
  74. Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider.
    Adaptive Methods for Boundary Integral Equations - Complexity and Convergence Estimates
    Math. Comp. 76 (2007), no. 259, 1243-1274. BibTeX
    @article {MR2299773,
        AUTHOR = {Dahmen, Wolfgang and Harbrecht, Helmut and Schneider,
                  Reinhold},
         TITLE = {Adaptive methods for boundary integral equations: complexity
                  and convergence estimates},
       JOURNAL = {Math. Comp.},
      FJOURNAL = {Mathematics of Computation},
        VOLUME = {76},
          YEAR = {2007},
        NUMBER = {259},
         PAGES = {1243--1274},
          ISSN = {0025-5718},
       MRCLASS = {65N38},
      MRNUMBER = {2299773},
    MRREVIEWER = {Carsten Carstensen},
           DOI = {10.1090/S0025-5718-07-01970-9},
           URL = {https://doi.org/10.1090/S0025-5718-07-01970-9},
    }
  75. Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore, Vladimir Temlyakov.
    Universal Algorithms for Learning Theory Part I: Piecewise Constant Functions
    J. Mach. Learn. Res. 6 (2005), 1297-1321. BibTeX
    @article {MR2249856,
        AUTHOR = {Binev, Peter and Cohen, Albert and Dahmen, Wolfgang and
                  DeVore, Ronald and Temlyakov, Vladimir},
         TITLE = {Universal algorithms for learning theory. {I}. {P}iecewise
                  constant functions},
       JOURNAL = {J. Mach. Learn. Res.},
      FJOURNAL = {Journal of Machine Learning Research (JMLR)},
        VOLUME = {6},
          YEAR = {2005},
         PAGES = {1297--1321},
          ISSN = {1532-4435},
       MRCLASS = {68T05 (62H30 68W40)},
      MRNUMBER = {2249856},
    }
  76. Arne Barinka, Wolfgang Dahmen, Reinhold Schneider.
    Fast Computation of Adaptive Wavelet Expansions (extended version)
    Numer. Math. 105 (2007), no. 4, 549-589. BibTeX
    @article {MR2276760,
        AUTHOR = {Barinka, A. and Dahmen, W. and Schneider, R.},
         TITLE = {Fast computation of adaptive wavelet expansions},
       JOURNAL = {Numer. Math.},
      FJOURNAL = {Numerische Mathematik},
        VOLUME = {105},
          YEAR = {2007},
        NUMBER = {4},
         PAGES = {549--589},
          ISSN = {0029-599X},
       MRCLASS = {65T60 (41A25)},
      MRNUMBER = {2276760},
    MRREVIEWER = {Ryuichi Ashino},
           DOI = {10.1007/s00211-006-0050-1},
           URL = {https://doi.org/10.1007/s00211-006-0050-1},
    }
  77. Peter Binev, Wolfgang Dahmen, Ronald DeVore, Nira Dyn.
    Adaptive Approximation of Curves
    Approximation theory: a volume dedicated to Borislav Bojanov Prof. M. Drinov Acad. Publ. House, Sofia, 2004. 43-57 BibTeX
    @incollection {MR2117077,
        AUTHOR = {Binev, Peter and Dahmen, Wolfgang and DeVore, Ronald and Dyn,
                  Nira},
         TITLE = {Adaptive approximation of curves},
     BOOKTITLE = {Approximation theory: a volume dedicated to {B}orislav
                  {B}ojanov},
         PAGES = {43--57},
     PUBLISHER = {Prof. M. Drinov Acad. Publ. House, Sofia},
          YEAR = {2004},
       MRCLASS = {41A30 (65D17)},
      MRNUMBER = {2117077},
    MRREVIEWER = {T. S. S. R. K. Rao},
    }
  78. Wolfgang Dahmen, Pencho Petrushev.
    "Push-the-Error" Algorithm for Nonlinear N-Term Approximation
    Constr. Approx. 23 (2006), no. 3, 261-304. BibTeX
    @article {MR2201468,
        AUTHOR = {Dahmen, W. and Petrushev, P.},
         TITLE = {``{P}ush-the-error'' algorithm for nonlinear {$n$}-term
                  approximation},
       JOURNAL = {Constr. Approx.},
      FJOURNAL = {Constructive Approximation. An International Journal for
                  Approximations and Expansions},
        VOLUME = {23},
          YEAR = {2006},
        NUMBER = {3},
         PAGES = {261--304},
          ISSN = {0176-4276},
       MRCLASS = {41A30 (41A15 41A25 46E35)},
      MRNUMBER = {2201468},
    MRREVIEWER = {Shai Dekel},
           DOI = {10.1007/s00365-005-0607-8},
           URL = {https://doi.org/10.1007/s00365-005-0607-8},
    }
  79. Martin Campos-Pinto, Albert Cohen, Wolfgang Dahmen, Ronald DeVore.
    On the Stability of Nonlinear Conservation Laws in the Hausdorff Metric
    J. Hyperbolic Differ. Equ. 2 (2005), no. 1, 25-38. BibTeX
    @article {MR2134951,
        AUTHOR = {Campos Pinto, Martin and Cohen, Albert and Dahmen, Wolfgang
                  and Devore, Ronald},
         TITLE = {On the stability of nonlinear conservation laws in the
                  {H}ausdorff metric},
       JOURNAL = {J. Hyperbolic Differ. Equ.},
      FJOURNAL = {Journal of Hyperbolic Differential Equations},
        VOLUME = {2},
          YEAR = {2005},
        NUMBER = {1},
         PAGES = {25--38},
          ISSN = {0219-8916},
       MRCLASS = {35L65 (35B35 35L45)},
      MRNUMBER = {2134951},
           DOI = {10.1142/S0219891605000348},
           URL = {https://doi.org/10.1142/S0219891605000348},
    }
  80. Wolfgang Dahmen, Siegfried Müller, Alexander Voß.
    Riemann Problem for the Euler Equation with Non-Convex Equation of State including Phase Transitions
    Analysis and numerics for conservation laws. Springer, Berlin, 2005. 137-162. BibTeX
    @incollection {MR2169927,
        AUTHOR = {Dahmen, Wolfgang and M\"{u}ller, Siegfried and Vo\ss , Alexander},
         TITLE = {Riemann problem for the {E}uler equation with non-convex
                  equation of state including phase transitions},
     BOOKTITLE = {Analysis and numerics for conservation laws},
         PAGES = {137--162},
     PUBLISHER = {Springer, Berlin},
          YEAR = {2005},
       MRCLASS = {76N10 (35Q35 76L05 80A22)},
      MRNUMBER = {2169927},
    MRREVIEWER = {Helge Kristian Jenssen},
           DOI = {10.1007/3-540-27907-5_7},
           URL = {https://doi.org/10.1007/3-540-27907-5_7},
    }
  81. Arne Barinka, Stephan Dahlke, Wolfgang Dahmen.
    Adaptive Application of Operators in Standard Representation
    Adv. Comput. Math. 24 (2006), no. 1-4, 5-34. BibTeX
    @article {MR2222259,
        AUTHOR = {Barinka, Arne and Dahlke, Stephan and Dahmen, Wolfgang},
         TITLE = {Adaptive application of operators in standard representation},
       JOURNAL = {Adv. Comput. Math.},
      FJOURNAL = {Advances in Computational Mathematics},
        VOLUME = {24},
          YEAR = {2006},
        NUMBER = {1-4},
         PAGES = {5--34},
          ISSN = {1019-7168},
       MRCLASS = {42C40 (41A25)},
      MRNUMBER = {2222259},
    MRREVIEWER = {Francesca Pitolli},
           DOI = {10.1007/s10444-004-7631-2},
           URL = {https://doi.org/10.1007/s10444-004-7631-2},
    }
  82. Albert Cohen, Wolfgang Dahmen, Ronald DeVore.
    Adaptive Wavelet Schemes for Nonlinear Variational Problems
    SIAM J. Numer. Anal. 41 (2003), no. 5, 1785-1823. BibTeX
    @article {MR2035007,
        AUTHOR = {Cohen, Albert and Dahmen, Wolfgang and Devore, Ronald},
         TITLE = {Adaptive wavelet schemes for nonlinear variational problems},
       JOURNAL = {SIAM J. Numer. Anal.},
      FJOURNAL = {SIAM Journal on Numerical Analysis},
        VOLUME = {41},
          YEAR = {2003},
        NUMBER = {5},
         PAGES = {1785--1823},
          ISSN = {0036-1429},
       MRCLASS = {65J15 (35A15 35A35 41A65 42C40)},
      MRNUMBER = {2035007},
    MRREVIEWER = {Peter G. Binev},
           DOI = {10.1137/S0036142902412269},
           URL = {https://doi.org/10.1137/S0036142902412269},
    }
  83. Wolfgang Dahmen, Angela Kunoth.
    Adaptive Wavelet Methods for Linear-Quadratic Elliptic Control Problems: Convergence Rates
    SIAM J. Control Optim. 43 (2005), no. 5, 1640-1675. BibTeX
    @article {MR2137497,
        AUTHOR = {Dahmen, Wolfgang and Kunoth, Angela},
         TITLE = {Adaptive wavelet methods for linear-quadratic elliptic control
                  problems: convergence rates},
       JOURNAL = {SIAM J. Control Optim.},
      FJOURNAL = {SIAM Journal on Control and Optimization},
        VOLUME = {43},
          YEAR = {2005},
        NUMBER = {5},
         PAGES = {1640--1675},
          ISSN = {0363-0129},
       MRCLASS = {49M25 (49K20 65K10 65T60)},
      MRNUMBER = {2137497},
    MRREVIEWER = {Fredi Tr\"{o}ltzsch},
           DOI = {10.1137/S0363012902419199},
           URL = {https://doi.org/10.1137/S0363012902419199},
    }
  84. Peter Binev, Wolfgang Dahmen, Ronald DeVore, Pencho Petrushev.
    Approximation Classes for Adaptive Methods
    Serdica Math. J. 28 (2002), no. 4, 391-416. BibTeX
    @article {MR1965238,
        AUTHOR = {Binev, Peter and Dahmen, Wolfgang and DeVore, Ronald and
                  Petrushev, Pencho},
         TITLE = {Approximation classes for adaptive methods},
          NOTE = {Dedicated to the memory of Vassil Popov on the occasion of his
                  60th birthday},
       JOURNAL = {Serdica Math. J.},
      FJOURNAL = {Serdica. Mathematical Journal. Serdika. Matematichesko
                  Spisanie},
        VOLUME = {28},
          YEAR = {2002},
        NUMBER = {4},
         PAGES = {391--416},
          ISSN = {1310-6600},
       MRCLASS = {65N30 (42C40 46E35 65N50)},
      MRNUMBER = {1965238},
    }
  85. Albert Cohen, Wolfgang Dahmen, Ronald DeVore.
    Sparse Evaluation of Compositions of Functions Using Multiscale Expansions
    SIAM J. Math. Anal. 35 (2003), no. 2, 279-303. BibTeX
    @article {MR2001102,
        AUTHOR = {Cohen, Albert and Dahmen, Wolfgang and Devore, Ronald},
         TITLE = {Sparse evaluation of compositions of functions using
                  multiscale expansions},
       JOURNAL = {SIAM J. Math. Anal.},
      FJOURNAL = {SIAM Journal on Mathematical Analysis},
        VOLUME = {35},
          YEAR = {2003},
        NUMBER = {2},
         PAGES = {279--303},
          ISSN = {0036-1410},
       MRCLASS = {41A60 (35J20 42C40 47H30)},
      MRNUMBER = {2001102},
    MRREVIEWER = {R. A. Zalik},
           DOI = {10.1137/S0036141002412070},
           URL = {https://doi.org/10.1137/S0036141002412070},
    }
  86. Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider.
    Compression Techniques for Boundary Integral Equations - Optimal Complexity Estimates
    SIAM J. Numer. Anal. 43 (2006), no. 6, 2251-2271. BibTeX
    @article {MR2206435,
        AUTHOR = {Dahmen, Wolfgang and Harbrecht, Helmut and Schneider,
                  Reinhold},
         TITLE = {Compression techniques for boundary integral
                  equations---asymptotically optimal complexity estimates},
       JOURNAL = {SIAM J. Numer. Anal.},
      FJOURNAL = {SIAM Journal on Numerical Analysis},
        VOLUME = {43},
          YEAR = {2006},
        NUMBER = {6},
         PAGES = {2251--2271},
          ISSN = {0036-1429},
       MRCLASS = {65N38 (65T60)},
      MRNUMBER = {2206435},
    MRREVIEWER = {Paul Andrew Martin},
           DOI = {10.1137/S0036142903428852},
           URL = {https://doi.org/10.1137/S0036142903428852},
    }
  87. Peter Binev, Wolfgang Dahmen, Ronald DeVore.
    Adaptive Finite Element Methods with Convergence Rates
    Numer. Math. 97 (2004), no. 2, 219-268. BibTeX
    @article {MR2050077,
        AUTHOR = {Binev, Peter and Dahmen, Wolfgang and DeVore, Ron},
         TITLE = {Adaptive finite element methods with convergence rates},
       JOURNAL = {Numer. Math.},
      FJOURNAL = {Numerische Mathematik},
        VOLUME = {97},
          YEAR = {2004},
        NUMBER = {2},
         PAGES = {219--268},
          ISSN = {0029-599X},
       MRCLASS = {65N50 (65N12 65N30 65Y20 68W25 68W40)},
      MRNUMBER = {2050077},
    MRREVIEWER = {Thomas Apel},
           DOI = {10.1007/s00211-003-0492-7},
           URL = {https://doi.org/10.1007/s00211-003-0492-7},
    }
  88. Wolfgang Dahmen, Jürgen Vorloeper, Karsten Urban.
    Adaptive Wavelet Methods Basic Concepts and Applications to the Stokes Problem
    Ser. Anal. 1, World Sci. Publ., River Edge, NJ, 2002. BibTeX
    @incollection {MR1941605,
        AUTHOR = {Dahmen, Wolfgang and Urban, Karsten and Vorloeper, J\"{u}rgen},
         TITLE = {Adaptive wavelet methods---basic concepts and applications to
                  the {S}tokes problem},
     BOOKTITLE = {Wavelet analysis ({H}ong {K}ong, 2001)},
        SERIES = {Ser. Anal.},
        VOLUME = {1},
         PAGES = {39--80},
     PUBLISHER = {World Sci. Publ., River Edge, NJ},
          YEAR = {2002},
       MRCLASS = {65N30 (42C40 65T60)},
      MRNUMBER = {1941605},
           DOI = {10.1142/9789812776679_0004}
    }
  89. Wolfgang Dahmen, Torben Klint, Karsten Urban.
    On Fictitious Domain Formulations for Maxwell's Equations
    Found. Comput. Math. 3 (2003), no. 2, 135-160. BibTeX
    @article {MR1966297,
        AUTHOR = {Dahmen, Wolfgang and Klint, Torben and Urban, Karsten},
         TITLE = {On fictitious domain formulations for {M}axwell's equations},
       JOURNAL = {Found. Comput. Math.},
      FJOURNAL = {Foundations of Computational Mathematics. The Journal of the
                  Society for the Foundations of Computational Mathematics},
        VOLUME = {3},
          YEAR = {2003},
        NUMBER = {2},
         PAGES = {135--160},
          ISSN = {1615-3375},
       MRCLASS = {35Q60 (35A15 78A25)},
      MRNUMBER = {1966297},
           DOI = {10.1007/s10208-002-0063-9},
           URL = {https://doi.org/10.1007/s10208-002-0063-9},
    }
  90. J. Borggaard, J. Burkardt, J. Burns, E. Cliff, M. Gunzburger, H. Kim, H. Lee, J. Peterson, A. Shenoy, and X. Wu.
    Algorithms for Flow Control and Optimization
    Progr. Systems Control Theory. 19, Birkhäuser Boston, Boston, MA, 1995. BibTeX
    @incollection {MR1352251,
        AUTHOR = {Borggaard, J. and Burkardt, J. and Burns, J. and Cliff, E. and
                  Gunzburger, M. and Kim, H. and Lee, H. and Peterson, J. and
                  Shenoy, A. and Wu, X.},
         TITLE = {Algorithms for flow control and optimization},
     BOOKTITLE = {Optimal design and control ({B}lacksburg, {VA}, 1994)},
        SERIES = {Progr. Systems Control Theory},
        VOLUME = {19},
         PAGES = {97--116},
     PUBLISHER = {Birkh\"{a}user Boston, Boston, MA},
          YEAR = {1995},
       MRCLASS = {90C30 (65K05 76M99 76N15)},
      MRNUMBER = {1352251},
    }
  91. John Burkardt and Janet Peterson.
    Control of Steady Incompressible 2D Channel Flow
    Flow Control. IMA Vol. Math. Appl., 68, Springer, New York, 1995. 111-126 BibTeX
    @incollection {MR1348644,
        AUTHOR = {Burkardt, John and Peterson, Janet},
         TITLE = {Control of steady incompressible {$2$}{D} channel flow},
     BOOKTITLE = {Flow control ({M}inneapolis, {MN}, 1992)},
        SERIES = {IMA Vol. Math. Appl.},
        VOLUME = {68},
         PAGES = {111--126},
     PUBLISHER = {Springer, New York},
          YEAR = {1995},
       MRCLASS = {76D05 (49K20 76M10 76M30)},
      MRNUMBER = {1348644},
           DOI = {10.1007/978-1-4612-2526-3_5},
           URL = {https://doi.org/10.1007/978-1-4612-2526-3_5},
    }
  92. John Burkardt, Max Gunzburger, and Janet Peterson.
    Discretization of Cost and Sensitivities in Shape Optimization
    Computation and control, IV. Progr. Systems Control Theory, 20, Birkhäuser Boston, Boston, MA, 1995. 43-56 BibTeX
    @incollection {MR1349582,
        AUTHOR = {Burkardt, John and Gunzburger, Max and Peterson, Janet},
         TITLE = {Discretization of cost and sensitivities in shape
                  optimization},
     BOOKTITLE = {Computation and control, {IV} ({B}ozeman, {MT}, 1994)},
        SERIES = {Progr. Systems Control Theory},
        VOLUME = {20},
         PAGES = {43--56},
     PUBLISHER = {Birkh\"{a}user Boston, Boston, MA},
          YEAR = {1995},
       MRCLASS = {49Q10 (76D99)},
      MRNUMBER = {1349582},
           DOI = {10.1007/978-1-4612-2574-4_3},
           URL = {https://doi.org/10.1007/978-1-4612-2574-4_3},
    }
  93. Burkardt, John Vetter.
    Sensitivity analyses and computational shape optimization for incompressible flows
    Thesis (Ph.D.)-Virginia Polytechnic Institute and State University. 1995. 225 pp. BibTeX
    @book {MR2692531,
        AUTHOR = {Burkardt, John Vetter},
         TITLE = {Sensitivity analyses and computational shape optimization for
                  incompressible flows},
          NOTE = {Thesis (Ph.D.)--Virginia Polytechnic Institute and State
                  University},
     PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
          YEAR = {1995},
         PAGES = {225},
       MRCLASS = {Thesis},
      MRNUMBER = {2692531},
           URL =
                  {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9529841},
    }
  94. Rheinboldt, Werner C. and Burkardt, John V..
    A locally parameterized continuation process
    ACM Trans. Math. Software 9 (1983), no. 2, 215-235. BibTeX
    @article {MR715303,
        AUTHOR = {Rheinboldt, Werner C. and Burkardt, John V.},
         TITLE = {A locally parameterized continuation process},
       JOURNAL = {ACM Trans. Math. Software},
      FJOURNAL = {Association for Computing Machinery. Transactions on
                  Mathematical Software},
        VOLUME = {9},
          YEAR = {1983},
        NUMBER = {2},
         PAGES = {215--235},
          ISSN = {0098-3500},
       MRCLASS = {65H10},
      MRNUMBER = {715303},
    MRREVIEWER = {Dietrich Braess},
           DOI = {10.1145/357456.357460},
           URL = {https://doi.org/10.1145/357456.357460},
    }