Peter Binev, Albert Cohen, Olga Mula and James Nichols.
Greedy Algorithms for Optimal Measurements Selection in State Estimation Using Reduced Models
SIAM/ASA J. Uncertain. Quantification, 6(3) (2018) 1101-1126.
BibTeX
@article {doi:10.1137/17M1157635,
AUTHOR = {Binev, P., Cohen, A., Mula, O. and Nichols, J.},
TITLE = {Greedy Algorithms for Optimal Measurements Selection in State Estimation Using Reduced Models},
JOURNAL = {SIAM/ASA Journal on Uncertainty Quantification},
VOLUME = {6},
NUMBER = {3},
PAGES = {1101-1126},
YEAR = {2018},
DOI = {10.1137/17M1157635},
URL = {https://doi.org/10.1137/17M1157635},
}
Peter Binev
Tree Approximation for hp-Adaptivity
SIAM J. Numer. Anal., 56(6) (2018) 3346-3357.
BibTeX
@article {doi:10.1137/18M1175070,
AUTHOR = {Binev, P.},
TITLE = {Tree Approximation for hp-Adaptivity},
JOURNAL = {SIAM Journal on Numerical Analysis},
VOLUME = {56},
NUMBER = {6},
PAGES = {3346-3357},
YEAR = {2018},
DOI = {10.1137/18M1175070},
URL = {https://doi.org/10.1137/18M1175070},
}
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},
}
M. Bachmayr , A. Cohen, W. Dahmen.
Parametric PDEs: sparse or low-rank approximations?
IMA Journal of Numerical Analysis, 38 (2018), 1661-1708
arXiv:1607.04444
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",
}
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"
}
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},
}
W. Dahmen, G. Kutyniok, C. Schwab, G. Welper.
Adaptive Anisotropic Petrov-Galerkin Methods for First Order Transport Equations
Journal of Computational and Applied Mathematics, 340 (2018), 191-220
D. Broersen, W. Dahmen, R. Stevenson.
On the stability of DPG formulations of transport equations
Math. Comp. 87 (2018), 1051-1082
arXiv:1510.02646
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},
}
Giulia Deolmi, Wolfgang Dahmen and Siegfried Müller.
Effective Boundary Conditions: A General Strategy and Application to Compressible Flows Over Rough Boundaries
Communications in Computational Physics, 21 (No.2) (2017), 358-400
W. Dahmen, V. König, S. Müller, M. Rom.
Numerical investigation of transpiration cooling with uniformly and non-uniformly simulated injection
Proceedings of 7TH EUROPEAN CONFERENCE FOR AERONAUTICS AND AEROSPACE SCIENCES (EUCASS), 2017
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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"
}
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},
}
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},
}
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}
}
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}
}
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},
}
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},
}
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},
}
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}
}
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}
}
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},
}
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},
}
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},
}
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}
}
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"
}
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}
}
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},
}
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},
}
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"
}
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"
}
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},
}
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},
}
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},
}
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},
}
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"
}
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},
}
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},
}
A. Cohen, W. Dahmen, R. DeVore.
Near Optimal Approximation of Arbitrary Vectors from Highly Incomplete Measurements
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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"
}
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"
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
Wolfgang Dahmen, Siegfried Müller, Alexander Vofl.
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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},
}
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}
}
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},
}
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},
}
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},
}
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. 4356
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},
}
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},
}
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},
}
