DASIV
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DASIV

Publications


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Publications


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

Peter Binev

Tree Approximation for hp-Adaptivity

SIAM J. Numer. Anal., 56(6) (2018) 3346-3357.

BibTeX

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

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

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

Alexander Kiselev and Changhui Tan.

Finite time blow up in the hyperbolic Boussinesq system

Adv. Math. 325 (2018), 34-55.

BibTeX arXiv:1609.02468

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

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

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

Markus Bachmayr, Albert Cohen, Wolfgang Dahmen.

Parametric PDEs: Sparse or low-rank approximations?

IMA J. Numer. Anal. 38 (2018), no. 4, 1661-1708.

BibTeX

Razvan Fetecau, Weiran Sun, and Changhui Tan..

First-order aggregation models with alignment

Phys. D 325 (2016), 146-163.

BibTeX arXiv:1505.07316

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

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

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

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

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

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

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

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

Albert Cohen, Wolfgang Dahmen, Ronald DeVore.

Orthogonal Matching Pursuit under the Restricted Isometry Property

Constr. Approx. 45 (2017), no. 1, 113-127.

BibTeX

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

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

Wolfgang Dahmen.

How to Best Sample a Solution Manifold?

Appl. Numer. Harmon. Anal., Birkhäuser/Springer, Cham, 2015.

BibTeX

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

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

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

Markus Bachmayr, Wolfgang Dahmen.

Adaptive Low-Rank Methods: Problems on Sobolev Spaces

SIAM J. Numer. Anal. 54 (2016), no. 2, 744-796.

BibTeX

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

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

Kolja Brix, Claudio Canuto, Wolfgang Dahmen.

Legendre-Gauss-Lobatto Grids and Associated Nested Dyadic Grids

Numer. Math. 131 (2015), no. 2, 205-239.

BibTeX

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

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

Markus Bachmayr, Wolfgang Dahmen, Ronald DeVore, Lars Grasedyck.

Approximation of High-Dimensional Rank One Tensors

Constr. Approx. 39 (2014), no. 2, 385-395.

BibTeX

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

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

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

Peter Binev, Albert Cohen, Wolfgang Dahmen and Ronald DeVore.

Classification Algorithms using Adaptive Partitioning

Ann. Statist. 42 (2014), no. 6, 2141-2163.

BibTeX

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

Wolfgang Dahmen, Thomas Gotzen, Siegfried Müller, Roland Schäfer.

Adaptive Multiresolution Finite Volume Discretization of the Variational Multiscale Method. General Framework.

BibTeX

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

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

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

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

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

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

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

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

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

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

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

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

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

Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser.

Adaptive Eigenvalue Computation for Elliptic Operators

BibTeX

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

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

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

Albert Cohen, Wolfgang Dahmen, Ronald DeVore.

Instance Optimal Decoding by Thresholding in Compressed Sensing

Contemp. Math. 505. Amer. Math. Soc., Providence, RI, 2010.

BibTeX

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

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

Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser.

Adaptive Eigenvalue Computation - Complexity Estimates

Numer. Math. (2008) 110: 277

BibTeX

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

Wolfgang Dahmen, Shai Dekel, Pencho Petrushev.

Two-Level-Split Decomposition of Anisotropic Besov Spaces

Constr. Approx. 31 (2010), no. 2, 149-194.

BibTeX

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

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

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

Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore.

Universal Piecewise Polynomial Estimators for Machine Learning

Mod. Methods Math. Nashboro Press, Brentwood, TN, 2007.

BibTeX

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

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

Albert Cohen, Wolfgang Dahmen, Ronald DeVore.

Compressed Sensing and Best k-Term Approximation

J. Amer. Math. Soc. 22 (2009), no. 1, 211-231.

BibTeX

Andrew Barron, Albert Cohen, Wolfgang Dahmen, Ronald DeVore.

Approximation and Learning by Greedy Algorithms

Ann. Statist. 36 (2008), no. 1, 64-94.

BibTeX

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

Wolfgang Dahmen, Shai Dekel, Pencho Petrushev.

Multilevel Preconditioning for Partition of Unity Methods - Some Analytic Concepts

P. Numer. Math. (2007) 107: 503.

BibTeX

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

Wolfgang Dahmen, Markus Jürgens.

Error Controlled Regularization by Projection

Electron. Trans. Numer. Anal. 25 (2006), 67-100.

BibTeX

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

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

Arne Barinka, Wolfgang Dahmen, Reinhold Schneider.

Fast Computation of Adaptive Wavelet Expansions (extended version)

Numer. Math. 105 (2007), no. 4, 549-589.

BibTeX

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

Wolfgang Dahmen, Pencho Petrushev.

"Push-the-Error" Algorithm for Nonlinear N-Term Approximation

Constr. Approx. 23 (2006), no. 3, 261-304.

BibTeX

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

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

Arne Barinka, Stephan Dahlke, Wolfgang Dahmen.

Adaptive Application of Operators in Standard Representation

Adv. Comput. Math. 24 (2006), no. 1-4, 5-34.

BibTeX

Albert Cohen, Wolfgang Dahmen, Ronald DeVore.

Adaptive Wavelet Schemes for Nonlinear Variational Problems

SIAM J. Numer. Anal. 41 (2003), no. 5, 1785-1823.

BibTeX

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

Peter Binev, Wolfgang Dahmen, Ronald DeVore, Pencho Petrushev.

Approximation Classes for Adaptive Methods

Serdica Math. J. 28 (2002), no. 4, 391-416.

BibTeX

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

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

Peter Binev, Wolfgang Dahmen, Ronald DeVore.

Adaptive Finite Element Methods with Convergence Rates

Numer. Math. 97 (2004), no. 2, 219-268.

BibTeX

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

Wolfgang Dahmen, Torben Klint, Karsten Urban.

On Fictitious Domain Formulations for Maxwell's Equations

Found. Comput. Math. 3 (2003), no. 2, 135-160.

BibTeX

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

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

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

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

Rheinboldt, Werner C. and Burkardt, John V..

A locally parameterized continuation process

ACM Trans. Math. Software 9 (1983), no. 2, 215-235.

BibTeX

[math.NA]

Peter Binev, Francesca Fierro, Andreas Veeser.

Near-best adaptive approximation on conforming meshes

2019-12-31

arXiv:1912.13437

Qi Feng, Wuchen Li.

Entropy dissipation for some non-reversible stochastic differential equations

2020-11-16

Preprint arXiv:2011.08058

Albert Cohen, Wolfgang Dahmen, Olga Mula, James Nichols.

Nonlinear reduced models for state and parameter estimation

2020-09-06

Preprint arXiv:2009.02687

Simon Becker, Wuchen Li.

Quantum statistical learning via Quantum Wasserstein natural gradient

2020-08-25

Preprint arXiv:2008.11135

Lisang Ding, Wuchen Li, Stanley Osher, Wotao Yin.

A mean field game inverse problem

2020-07-22

Preprint arXiv:2007.11551

Wonjun Lee, Siting Liu, Hamidou Tembine, Wuchen Li, Stanley Osher.

Controlling Propagation of epidemics via mean-field control

2020-06-01

Preprint arXiv:2006.01249

A. Cohen, W. Dahmen, R. DeVore.

The Role of Reduced Models

To appear in ICIAM-2019 proceedings

2020-02-01

Preprint arXiv:2002.0022

Markus Bachmayr, Wolfgang Dahmen.

Adaptive Low-Rank Approximations for Operator Equations: Accuracy Control and Computational Complexity

75 Years of Mathematics of Computation, Susanne C. Brenner, Igor Shparlinski, Chi-Wang Shu, Daniel B. Szyld, eds., Contemporary Mathematics, volume 754, American Mathematical Society, to appear

2019-10-15

arXiv:1910.07052

A. Cohen, W. Dahmen, R. DeVore, J. Fadili, O. Mula, J. Nichols.

Optimal reduced model algorithms for data-based state estimation

To appear in SINUM

2019-03-19

Preprint arXiv:1903.07938

Flavien Léger, Wuchen Li.

Hopf-Cole transformation via generalized Schrödinger bridge problem

2019-01-25

Preprint arXiv:1901.09051

A. Cohen, W. Dahmen, R. DeVore, J. Nichols.

Reduced Basis Greedy Selection Using Random Training Sets

ESAIM: M2AN, 54 (no 5) (2020), 1509–1524

2018-10-22

Preprint arXiv:1810.09344

Wolfgang Dahmen, Felix Gruber, and Olga Mula.

An adaptive nested source term iteration for radiative transfer equations

2018-10-16

Preprint arXiv:1810.07035

Jialin Liu, Wotao Yin, Wuchen Li, Yat Tin Chow.

Multilevel Optimal Transport: a Fast Approximation of Wasserstein-1 distances

2018-09-29

Preprint arXiv:1810.00118

Wolfgang Dahmen, Robert P. Stevenson.

Adaptive Strategies for Transport Equations

2018-09-04

Preprint arXiv:1809.02055