Near-Best Adaptive Approximation on Conforming Meshes  

Peter Binev, Francesca Fierro, Andreas Veeser

Constr Approx 57, 327–349 (2023)

Greedy Algorithms for Optimal Measurements Selection in State Estimation Using Reduced Models

Peter Binev, Albert Cohen, Olga Mula and James Nichols

SIAM/ASA J. Uncertain. Quantification, 6(3) (2018) 1101-1126.

Tree Approximation for hp-Adaptivity

Peter Binev

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

Global regularity for 1D Eulerian dynamics with singular interaction forces

Alexander Kiselev and Changhui Tan

SIAM J. Math. Anal., 50(6), 6208-6229

Parametric PDEs: sparse or low-rank approximations?

Markus Bachmayr, Albert Cohen, and Wolfgang Dahmen

IMA Journal of Numerical Analysis, 38 (2018), 1661-1708

An asymptotic preserving scheme for kinetic models with singular limit

Alina Chertock, Changhui Tan, and Bokai Yan

Kinetic & Related Models, 2018, 11 (4) : 735-756.

Global regularity for the fractional Euler alignment system

Tam Do, Alexander Kiselev, Lenya Ryzhik, Changhui Tan

Arch Rational Mech Anal. (2018) 228: 1. 1-37

Finite time blow up in the hyperbolic Boussinesq system

Alexander Kiselev and Changhui Tan

Adv. Math. 325 (2018), 34-55

Adaptive Anisotropic Petrov-Galerkin Methods for First Order Transport Equations

W. Dahmen, G. Kutyniok, W.-Q Lim, C. Schwab, G. Welper

Journal of Computational and Applied Mathematics, 340 (2018), 191-220

On the stability of DPG formulations of transport equations

D. Broersen, W. Dahmen, R. Stevenson

Math. Comp. 87 (2018), 1051-1082

A discontinuous Galerkin method on kinetic flocking models

Changhui Tan

Math. Models Methods Appl. Sci. 27 (2017), no. 7, 1199-1221

Effective Boundary Conditions: A General Strategy and Application to Compressible Flows Over Rough Boundaries

Giulia Deolmi, Wolfgang Dahmen and Siegfried Müller

Communications in Computational Physics, 21 (No.2) (2017), 358-400

Numerical investigation of transpiration cooling with uniformly and non-uniformly simulated injection

Wolfgang Dahmen, Valentina König, Siegfried Müller and Michael Rom

7^th European Conference for Aeronautics and Aerospace Sciences (EUCASS)

Hyperspherical Sparse Approximation Techniques for High-Dimensional Discontinuity Detection

Guannan Zhang, Clayton G. Webster, Max Gunzburger, and John Burkardt

SIAM Rev. 58 (2016), no. 3, 517-551

A multiscale method for nonlocal mechanics and diffusion and for the approximation of discontinuous functions

Feifei Xu, Max Gunzburger, and John Burkardt

Comput. Methods Appl. Mech. Engrg. 307 (2016), 117-143

Parametric PDEs: Sparse or low-rank approximations?

Markus Bachmayr, Albert Cohen, Wolfgang Dahmen

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

First-order aggregation models with alignment

Razvan Fetecau, Weiran Sun, and Changhui Tan

Phys. D 325 (2016), 146-163.

An Exact Rescaling Velocity Method for some Kinetic Flocking Models

Thomas Rey and Changhui Tan

SIAM J. Numer. Anal. 54 (2016), no. 2, 641-664

A Multiscale Implementation Based on Adaptive Mesh Refinement for the Nonlocal Peridynamics Model in One Dimension

Feifei Xu, Max Gunzburger, John Burkardt, and Qiang Du

Multiscale Model. Simul. 14 (2016), no. 1, 398-429

Adaptive Anisotropic Petrov-Galerkin Methods for First Order Transport Equations

Wolfgang Dahmen, Gitta Kutyniok, Wang-Q Lim, Christoph Schwab, Gerrit Welper

J. Comput. Appl. Math. 340 (2018), 191-220

Effective boundary conditions: a general strategy and application to compressible flows over rough boundaries

Giulia Deolmi, Wolfgang Dahmen, Siegfried Müller

Commun. Comput. Phys. 21 (2017), no. 2, 358-400

Critical thresholds in 1D Euler equations with non-local forces

José Carrillo, Young-Pil Choi, Eitan Tadmor, and Changhui Tan

Math. Models Methods Appl. Sci. 26 (2016), no. 1, 185-206

On the Stability of DPG Formulations of Transport Equations

Dirk Broersen, Wolfgang Dahmen and Rob P. Steveson

Math. Comp. 87 (2018), no. 311, 1051-1082

A Hyperspherical Adaptive Sparse-Grid Method for High-Dimensional Discontinuity Detection

G. Zhang, C. Webster, M. Gunzburger, and J. Burkardt.

SIAM J. Numer. Anal. 53 (2015), no. 3, 1508-1536

Data Assimilation in Reduced Modeling

Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk

SIAM/ASA J. Uncertain. Quantif. 5 (2017), no. 1, 1-29

Orthogonal Matching Pursuit under the Restricted Isometry Property

Albert Cohen, Wolfgang Dahmen, Ronald DeVore

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

Power-Law Noises over General Spatial Domains and on Nonstandard Meshes

Hans-Werner van Wyk, Max Gunzburger, John Burkhardt, and Miroslav Stoyanov

SIAM/ASA J. Uncertain. Quantif. 3 (2015), no. 1, 296-319

Simple Finite Element Methods for Approximating Predator-Prey Dynamics in Two Dimensions Using Matlab

Garvie, M.R., Burkardt, J., and Morgan, J. Bull

Bull. Math. Biol. 77 (2015), no. 3, 548-578

How to Best Sample a Solution Manifold?

Wolfgang Dahmen

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

Adaptive Low-Rank Methods for Problems on Sobolev Spaces with Error Control in L 2

Markus Bachmayr, Wolfgang Dahmen

ESAIM Math. Model. Numer. Anal. 50 (2016), no. 4, 1107-1136

Critical thresholds in flocking hydrodynamics with non-local alignment

Eitan Tadmor and Changhui Tan

Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 372 (2014), no. 2028, 20130401

Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations

Wolfgang Dahmen, Ronald Devore, Lars Grasedyck, Endre Süli

Found. Comput. Math. 16 (2016), no. 4, 813-874.

Adaptive Low-Rank Methods: Problems on Sobolev Spaces

Markus Bachmayr, Wolfgang Dahmen

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

Effective Boundary Conditions for Compressible Flows over Rough Boundaries

Giulia Deolmi, Wolfgang Dahmen, Siegfried Müller

Math. Models Methods Appl. Sci. 25 (2015), no. 7, 1257-1297

Efficient Resolution of Anisotropic Structures

Wolfgang Dahmen, Chunyan Huang, Gitta Kutyniok, Wang-Q Lim, Christoph Schwab, Gerrit Welper

Lect. Notes Comput. Sci. Eng. 102, Springer, Cham, 2014

Legendre-Gauss-Lobatto Grids and Associated Nested Dyadic Grids

Kolja Brix, Claudio Canuto, Wolfgang Dahmen

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

Numerical Simulation of Transpiration Cooling through Porous Material

Wolfgang Dahmen, Thomas Gotzen, Siegfried Müller

Internat. J. Numer. Methods Fluids 76 (2014), no. 6, 331-365

Adaptive Near-Optimal Rank Tensor Approximation for High-Dimensional Operator Equations

Markus Bachmayr, Wolfgang Dahmen

Found. Comput. Math. 15 (2015), no. 4, 839-898

Approximation of High-Dimensional Rank One Tensors

Markus Bachmayr, Wolfgang Dahmen, Ronald DeVore, Lars Grasedyck

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

Picometre-precision analysis of scanning transmission electron microscopy images of platinum nanocatalysts  

Andrew B. Yankovich, Benjamin Berkels, W. Dahmen,  P. Binev,  S. I. Sanchez,  S. A. Bradley,  Ao Li,  Izabela Szlufarska &  Paul M. Voyles 

Nat Commun. 5, 4155 (2014)

Double Greedy Algorithms: Reduced Basis Methods for Transport Dominated Problems

Wolfgang Dahmen, Christian Plesken, Gerrit Welper

ESAIM Math. Model. Numer. Anal. 48 (2014), no. 3, 623-663

Multilevel Preconditioning of Discontinuous-Galerkin Spectral Element Methods Part I: Geometrically Conforming Meshes

Kolja Brix, Martin Campos Pinto, Claudio Canuto, Wolfgang Dahmen

IMA J. Numer. Anal. 35 (2015), no. 4, 1487-1532

Robust Preconditioners for DG-Discretizations with Arbitrary Polynomial Degrees

Kolja Brix, Claudio Canuto, Wolfgang Dahmen

Lect. Notes Comput. Sci. Eng. 98, Springer, Cham, 2014

Classification Algorithms using Adaptive Partitioning

Peter Binev, Albert Cohen, Wolfgang Dahmen and Ronald DeVore

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

Hierarchical Construction of Bounded Solutions of div U=F in Critical Regularity Spaces

Eitan Tadmor and Changhui Tan

Nonlinear partial differential equations, 255-269, Abel Symp., 7, Springer, Heidelberg, 2012

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

Wolfgang Dahmen, Thomas Gotzen, Siegfried Müller, Roland Schäfer

Numerical Simulation of Cooling Gas Injection Using Adaptive Multiscale Techniques

Wolfgang Dahmen, Thomas Gotzen , Silvia Sorana Melian-Flamand, Siegfried Müller

Internat. J. Numer. Methods Fluids 76 (2014), no. 6, 331-365

Adaptivity and Variational Stabilization for Convection-Diffusion Equations

Albert Cohen, Wolfgang Dahmen, Gerrit Welper

ESAIM Math. Model. Numer. Anal. 46 (2012), no. 5, 1247-1273

Adaptive Petrov-Galerkin Methods for First Order Transport Equations

Wolfgang Dahmen, Chunyan Huang, Christoph Schwab, Gerrit Welper

SIAM J. Numer. Anal. 50 (2012), no. 5, 2420-2445

Pink noise, \(1/f^\alpha\) noise, and their effect on solutions of differential equations

Stoyanov, Miro, Gunzburger, Max, and Burkardt, John

Int. J. Uncertain. Quantif. 1 (2011), no. 3, 257-278

Compressed Sensing and Electron Microscopy

Peter Binev, Wolfgang Dahmen, Ronald DeVore, Philipp Lamby, Daniel Savu, Robert Sharpley

Modeling Nanoscale Imaging in Electron Microscopy. Nanostructure Science and Technology. Springer, Boston, MA. 73-126

High Quality Image Formation by Nonlocal Means Applied to High-Angle Annular Darkfield Scanning Transmission Electron Microscopy (HAADF-STEM)

Peter Binev, Francisco Blanco-Silva, Douglas Blom, Wolfgang Dahmen, Philipp Lamby, Robert Sharpley, Thomas Vogt

Modeling Nanoscale Imaging in Electron Microscopy. Nanostructure Science and Technology. Springer, Boston, MA. 127-145

Insensitive Functionals, Inconsistent Gradients, Spurious Minima, and Regularized Functionals in Flow Optimization Problems

John Burkardt, Max Gunzburger, and Janet Peterson

Int. J. Comput. Fluid Dyn. 16 (2002), no. 3, 171-185

Convergence Rates for Greedy Algorithms in Reduced Basis Methods

Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk

SIAM J. Math. Anal. 43 (2011), no. 3, 1457-1472

Fast High-Dimensional Approximation with Sparse Occupancy Trees

Peter Binev, Wolfgang Dahmen, Philipp Lamby

J. Comput. Appl. Math. 235 (2011), no. 8, 2063-2076

Three-Dimensional Geoelectric Modelling with Optimal Work/Accuracy Rate Using an Adaptive Wavelet Algorithm

Alain Plattner, Hans-Rudolf Maurer, Jürgen Vorloeper, Wolfgang Dahmen

Geophys. J. Internat. 182 (2010), no. 2, 741-752

Parallel and Adaptive Methods for Fluid-Structure-Interactions

Josef Ballmann, Marek Behr, Kolja Brix, Wolfgang Dahmen, Christoph Hohn, Ralf Massjung, Sorana Melian, Siegfried Müller, Gero Schieffer

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

Super-Resolution Image Reconstruction by Nonlocal Means applied to High-Angle Annular Darkfield Scanning Transmission Electron Microscopy (HAADF-STEM)

Peter Binev, Francisco Blanco-Silva, Douglas Blom, Wolfgang Dahmen, Robert Sharpley, Tom Vogt

Adaptive anisotropic meshing for steady convection-dominated problems

Hoa Nguyen, Max Gunzburger, Lili Ju, and John Burkardt

Comput. Methods Appl. Mech. Engrg. 198 (2009), no. 37-40, 2964-2981

Adaptive Eigenvalue Computation for Elliptic Operators

Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser

A Unified Approach to the Modeling of Airplane Wings and Numerical Grid Generation Using B-Spline Representations

Karl-Heinz Brakhage, Wolfgang Dahmen, Philipp Lamby

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

Adaptive Multiscale Methods for Flow Problems: Recent Developments

Wolfgang Dahmen, Nune Hovhannisyan, Siegfried Müller

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

Constrained CVT meshes and a comparison of triangular mesh generators

Nguyen, Hoa, Burkardt, John, Gunzburger, Max, Ju, Lili, and Saka, Yuki

Comput. Geom. 42 (2009), no. 1, 1-19

Instance Optimal Decoding by Thresholding in Compressed Sensing

Albert Cohen, Wolfgang Dahmen, Ronald DeVore

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

Meshfree first-order system least squares

MacMillan, Hugh R., Gunzburger, Max D., and Burkardt, John V

Numer. Math. Theory Methods Appl. 1 (2008), no. 1, 29-43

Multilevel Preconditioners for the Interior Penalty Discontinuous Galerkin Method II Quantitative Studies

Kolja Brix, Martin Campos Pinto, Wolfgang Dahmen

Commun. Comput. Phys. 5 (2009), no. 2-4, 296-325

Adaptive Eigenvalue Computation - Complexity Estimates

Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser

Numer. Math. (2008) 110: 277

A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method

Kolja Brix, Martin Campos Pinto, Wolfgang Dahmen

SIAM J. Numer. Anal. 46 (2008), no. 5, 2742-2768

Two-Level-Split Decomposition of Anisotropic Besov Spaces

Wolfgang Dahmen, Shai Dekel, Pencho Petrushev

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

A Taste of Compressed Sensing

Albert Cohen, Wolfgang Dahmen, Ronald DeVore

Proc. SPIE 6576 (2007)

Latinized, improved LHS, and CVT point sets in hypercubes

Saka, Yuki, Gunzburger, Max, and Burkardt, John

Int. J. Numer. Anal. Model. 4 (2007), no. 3-4, 729-743

Reduced order modeling of some nonlinear stochastic partial differential equations

John Burkardt, Max Gunzburger, and Clayton Webster

Int. J. Numer. Anal. Model. 4 (2007), no. 3-4, 368-391

Universal Piecewise Polynomial Estimators for Machine Learning

Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore

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

POD and CVT-based reduced-order modeling of Navier-Stokes flows

John Burkardt, Max Gunzburger, and Hyung-Chun Lee

Comput. Methods Appl. Mech. Engrg. 196 (2006), no. 1-3, 337-355

Centroidal Voronoi Tessellation-Based Reduced-Order Modeling of Complex Systems

John Burkardt, Max Gunzburger, and Hyung-Chun Lee

SIAM J. Sci. Comput., 28(2), 459-484

Compressed Sensing and Best k-Term Approximation

Albert Cohen, Wolfgang Dahmen, Ronald DeVore

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

Approximation and Learning by Greedy Algorithms

Andrew Barron, Albert Cohen, Wolfgang Dahmen, Ronald DeVore

Ann. Statist. 36 (2008), no. 1, 64-94

Convergence of Adaptive Wavelet Methods for Goal-Oriented Error Estimation

Wolfgang Dahmen, Angela Kunoth, Jürgen Vorloeper

Numerical mathematics and advanced applications Springer, Berlin, 2006. 39-61

Multilevel Preconditioning for Partition of Unity Methods - Some Analytic Concepts

Wolfgang Dahmen, Shai Dekel, Pencho Petrushev

P. Numer. Math. (2007) 107: 503

Universal Algorithms for Learning Theory Part II: Piecewise Polynomial Functions

Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore

Constr. Approx. 26 (2007), no. 2, 127-152

Error Controlled Regularization by Projection

Wolfgang Dahmen, Markus Jürgens

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

Adaptive Methods for Boundary Integral Equations - Complexity and Convergence Estimates

Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider

Math. Comp. 76 (2007), no. 259, 1243-1274

Universal Algorithms for Learning Theory Part I: Piecewise Constant Functions

Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald DeVore, Vladimir Temlyakov

J. Mach. Learn. Res. 6 (2005), 1297-1321

Fast Computation of Adaptive Wavelet Expansions (extended version)

Arne Barinka, Wolfgang Dahmen, Reinhold Schneider

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

Adaptive Approximation of Curves

Peter Binev, Wolfgang Dahmen, Ronald DeVore, Nira Dyn

Approximation theory: a volume dedicated to Borislav Bojanov Prof. M. Drinov Acad. Publ. House, Sofia, 2004. 43-57

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

Wolfgang Dahmen, Pencho Petrushev

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

On the Stability of Nonlinear Conservation Laws in the Hausdorff Metric

Martin Campos-Pinto, Albert Cohen, Wolfgang Dahmen, Ronald DeVore

J. Hyperbolic Differ. Equ. 2 (2005), no. 1, 25-38

Riemann Problem for the Euler Equation with Non-Convex Equation of State including Phase Transitions

Wolfgang Dahmen, Siegfried Müller, Alexander Vofl

Analysis and numerics for conservation laws. Springer, Berlin, 2005. 137-162

Adaptive Application of Operators in Standard Representation

Arne Barinka, Stephan Dahlke, Wolfgang Dahmen

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

Adaptive Wavelet Schemes for Nonlinear Variational Problems

Albert Cohen, Wolfgang Dahmen, Ronald DeVore

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

Adaptive Wavelet Methods for Linear-Quadratic Elliptic Control Problems: Convergence Rates

Wolfgang Dahmen, Angela Kunoth

SIAM J. Control Optim. 43 (2005), no. 5, 1640-1675

Approximation Classes for Adaptive Methods

Peter Binev, Wolfgang Dahmen, Ronald DeVore, Pencho Petrushev

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

Sparse Evaluation of Compositions of Functions Using Multiscale Expansions

Albert Cohen, Wolfgang Dahmen, Ronald DeVore

SIAM J. Math. Anal. 35 (2003), no. 2, 279-303

Compression Techniques for Boundary Integral Equations - Optimal Complexity Estimates

Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider

SIAM J. Numer. Anal. 43 (2006), no. 6, 2251-2271

Adaptive Finite Element Methods with Convergence Rates

Peter Binev, Wolfgang Dahmen, Ronald DeVore

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

Adaptive Wavelet Methods Basic Concepts and Applications to the Stokes Problem

Wolfgang Dahmen, Jürgen Vorloeper, Karsten Urban

Ser. Anal. 1, World Sci. Publ., River Edge, NJ, 2002

On Fictitious Domain Formulations for Maxwell's Equations

Wolfgang Dahmen, Torben Klint, Karsten Urban

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

Algorithms for Flow Control and Optimization

J. Borggaard, J. Burkardt, J. Burns, E. Cliff, M. Gunzburger, H. Kim, H. Lee, J. Peterson, A. Shenoy, and X. Wu

Progr. Systems Control Theory. 19, Birkhäuser Boston, Boston, MA, 1995

Control of Steady Incompressible 2D Channel Flow

John Burkardt and Janet Peterson

Flow Control. IMA Vol. Math. Appl., 68, Springer, New York, 1995. 111-126

Discretization of Cost and Sensitivities in Shape Optimization

John Burkardt, Max Gunzburger, and Janet Peterson

Computation and control, IV. Progr. Systems Control Theory, 20, Birkhäuser Boston, Boston, MA, 1995. 43-56

Sensitivity analyses and computational shape optimization for incompressible flows

John Vetter Burkardt

Thesis (Ph.D.) Virginia Polytechnic Institute and State University. 1995. 225 pp

A locally parameterized continuation process

Rheinboldt, Werner C. and Burkardt, John V

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

Solving PDEs with Incomplete Information

Peter Binev, Andrea Bonito, Albert Cohen, Wolfgang Dahmen, Ronald DeVore, Guergana Petrova

2023-01-13

Near-best adaptive approximation on conforming meshes

Peter Binev, Francesca Fierro, Andreas Veeser

2019-12-31

Entropy dissipation for some non-reversible stochastic differential equations

Qi Feng, Wuchen Li

2020-11-16

Nonlinear reduced models for state and parameter estimation

Albert Cohen, Wolfgang Dahmen, Olga Mula, James Nichols

2020-09-06

Quantum statistical learning via Quantum Wasserstein natural gradient

Simon Becker, Wuchen Li

2020-08-25

A mean field game inverse problem

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

2020-07-22

Controlling Propagation of epidemics via mean-field control

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

2020-06-01

The Role of Reduced Models

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

2020-02-01

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

Markus Bachmayr, Wolfgang Dahmen

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

Optimal reduced model algorithms for data-based state estimation

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

To appear in SINUM

2019-03-19

Hopf-Cole transformation via generalized Schrödinger bridge problem

Flavien Léger, Wuchen Li

2019-01-25

Reduced Basis Greedy Selection Using Random Training Sets

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

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

2018-10-22

An adaptive nested source term iteration for radiative transfer equations

Wolfgang Dahmen, Felix Gruber, and Olga Mula

2018-10-16

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

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

2018-09-29

Adaptive Strategies for Transport Equations

Wolfgang Dahmen, Robert P. Stevenson

2018-09-04