Wolfgang Dahmen

Publication Activity (10 Years)

Years Active: 1984-2023
Publications (10 Years): 23

Top Topics

Differential Equations

State Estimation

Data Assimilation

Laplace Beltrami

Top Venues

Found. Comput. Math.

SIAM/ASA J. Uncertain. Quantification

Publications

Wolfgang Dahmen, Olga Mula
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation. CoRR (2023)
Peter Binev, Andrea Bonito, Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Guergana Petrova
Solving PDEs with Incomplete Information. CoRR (2023)
Wolfgang Dahmen, Rob P. Stevenson, Jan Westerdiep
Accuracy controlled data assimilation for parabolic problems. Math. Comput. 91 (334) (2022)
Albert Cohen, Wolfgang Dahmen, Hans Z. Munthe-Kaas, Martín Sombra, Ágnes Szántó
Correction to: Preface. Found. Comput. Math. 22 (1) (2022)
Wolfgang Dahmen, Harald Monsuur, Rob P. Stevenson
Least squares solvers for ill-posed PDEs that are conditionally stable. CoRR (2022)
Albert Cohen, Wolfgang Dahmen, Olga Mula, James A. Nichols
Nonlinear Reduced Models for State and Parameter Estimation. SIAM/ASA J. Uncertain. Quantification 10 (1) (2022)
Wolfgang Dahmen
Compositional Sparsity, Approximation Classes, and Parametric Transport Equations. CoRR (2022)
Wolfgang Dahmen, Min Wang, Zhu Wang
Nonlinear Reduced DNN Models for State Estimation. CoRR (2021)
Wolfgang Dahmen, Rob P. Stevenson, Jan Westerdiep
Accuracy controlled data assimilation for parabolic problems. CoRR (2021)
Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore
State Estimation - The Role of Reduced Models. CoRR (2020)
Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Jalal Fadili, Olga Mula, James A. Nichols
Optimal Reduced Model Algorithms for Data-Based State Estimation. SIAM J. Numer. Anal. 58 (6) (2020)
Albert Cohen, Wolfgang Dahmen, Olga Mula, James A. Nichols
Nonlinear reduced models for state and parameter estimation. CoRR (2020)
Wolfgang Dahmen, Felix Gruber, Olga Mula
An adaptive nested source term iteration for radiative transfer equations. Math. Comput. 89 (324) (2020)
Wolfgang Dahmen, Rob P. Stevenson
Adaptive Strategies for Transport Equations. Comput. Methods Appl. Math. 19 (3) (2019)
Markus Bachmayr, Wolfgang Dahmen
Adaptive Low-Rank Approximations for Operator Equations: Accuracy Control and Computational Complexity. CoRR (2019)
Albert Cohen, Wolfgang Dahmen, Hans Z. Munthe-Kaas, Martín Sombra, Ágnes Szántó
Preface. Found. Comput. Math. 19 (5) (2019)
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)
Dirk Broersen, Wolfgang Dahmen, Rob P. Stevenson
On the stability of DPG formulations of transport equations. Math. Comput. 87 (311) (2018)
Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk
Data Assimilation in Reduced Modeling. SIAM/ASA J. Uncertain. Quantification 5 (1) (2017)
Markus Bachmayr, Wolfgang Dahmen
Adaptive Low-Rank Methods: Problems on Sobolev Spaces. SIAM J. Numer. Anal. 54 (2) (2016)
Wolfgang Dahmen, Ronald A. DeVore, Lars Grasedyck, Endre Süli
Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations. Found. Comput. Math. 16 (4) (2016)
Markus Bachmayr, Wolfgang Dahmen
Adaptive Near-Optimal Rank Tensor Approximation for High-Dimensional Operator Equations. Found. Comput. Math. 15 (4) (2015)
Kolja Brix, Claudio Canuto, Wolfgang Dahmen
Nested dyadic grids associated with Legendre-Gauss-Lobatto grids. Numerische Mathematik 131 (2) (2015)
Benjamin Berkels, Peter Binev, Douglas A. Blom, Wolfgang Dahmen, Robert C. Sharpley, Thomas Vogt
Optimized imaging using non-rigid registration. CoRR (2014)
Wolfgang Dahmen, Chunyan Huang, Christoph Schwab, Gerrit Welper
Adaptive Petrov-Galerkin Methods for First Order Transport Equations. SIAM J. Numer. Anal. 50 (5) (2012)
Peter Binev, Wolfgang Dahmen, Philipp Lamby
Fast high-dimensional approximation with sparse occupancy trees. J. Comput. Appl. Math. 235 (8) (2011)
Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk
Convergence Rates for Greedy Algorithms in Reduced Basis Methods. SIAM J. Math. Anal. 43 (3) (2011)
Kolja Brix, Martin Campos Pinto, Wolfgang Dahmen
A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method. SIAM J. Numer. Anal. 46 (5) (2008)
Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser
Adaptive eigenvalue computation: complexity estimates. Numerische Mathematik 110 (3) (2008)
Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider
Adaptive methods for boundary integral equations: Complexity and convergence estimates. Math. Comput. 76 (259) (2007)
Wolfgang Dahmen, Shai Dekel, Pencho Petrushev
Multilevel preconditioning for partition of unity methods: some analytic concepts. Numerische Mathematik 107 (3) (2007)
Arne Barinka, Wolfgang Dahmen, Reinhold Schneider
Fast computation of adaptive wavelet expansions. Numerische Mathematik 105 (4) (2007)
Arne Barinka, Stephan Dahlke, Wolfgang Dahmen
Adaptive application of operators in standard representation. Adv. Comput. Math. 24 (1-4) (2006)
Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider
Compression Techniques for Boundary Integral Equations - Asymptotically Optimal Complexity Estimates. SIAM J. Numer. Anal. 43 (6) (2006)
Wolfgang Dahmen, Angela Kunoth
Adaptive Wavelet Methods for Linear-Quadratic Elliptic Control Problems: Convergence Rates. SIAM J. Control. Optim. 43 (5) (2005)
Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Vladimir N. Temlyakov
Universal Algorithms for Learning Theory Part I : Piecewise Constant Functions. J. Mach. Learn. Res. 6 (2005)
A. Kurdila, M. Nechyba, Richard Prazenica, Wolfgang Dahmen, Peter Binev, Ronald A. DeVore, Robert C. Sharpley
Vision-based control of micro-air-vehicles: progress and problems in estimation. CDC (2004)
Peter Binev, Wolfgang Dahmen, Ronald A. DeVore
Adaptive Finite Element Methods with convergence rates. Numerische Mathematik 97 (2) (2004)
Wolfgang Dahmen, B. Faermann, Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter
Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. Math. Comput. 73 (247) (2004)
Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore
Sparse Evaluation of Compositions of Functions Using Multiscale Expansions. SIAM J. Math. Anal. 35 (2) (2003)
Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore
Adaptive Wavelet Schemes for Nonlinear Variational Problems. SIAM J. Numer. Anal. 41 (5) (2003)
Wolfgang Dahmen, Torben Klint, Karsten Urban
On Fictitious Domain Formulations for Maxwell's Equations. Found. Comput. Math. 3 (2) (2003)
Wolfgang Dahmen, Angela Kunoth, Reinhold Schneider
Wavelet Least Squares Methods for Boundary Value Problems. SIAM J. Numer. Anal. 39 (6) (2002)
Stephan Dahlke, Wolfgang Dahmen, Karsten Urban
Adaptive Wavelet Methods for Saddle Point Problems - Optimal Convergence Rates. SIAM J. Numer. Anal. 40 (4) (2002)
Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore
Adaptive Wavelet Methods II - Beyond the Elliptic Case. Found. Comput. Math. 2 (3) (2002)
Wolfgang Dahmen, Birgit Gottschlich-Müller, Siegfried Müller
Multiresolution schemes for conservation laws. Numerische Mathematik 88 (3) (2001)
Wolfgang Dahmen, Angela Kunoth
Appending boundary conditions by Lagrange multipliers: Analysis of the LBB condition. Numerische Mathematik 88 (1) (2001)
Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore
Adaptive wavelet methods for elliptic operator equations: Convergence rates. Math. Comput. 70 (233) (2001)
Wolfgang Dahmen, Siegfried Müller, Thomas Schlinkmann
On an Adaptive Multigrid Solver for Convection-Dominated Problems. SIAM J. Sci. Comput. 23 (3) (2001)
Arne Barinka, Titus Barsch, Philippe Charton, Albert Cohen, Stephan Dahlke, Wolfgang Dahmen, Karsten Urban
Adaptive Wavelet Schemes for Elliptic Problems - Implementation and Numerical Experiments. SIAM J. Sci. Comput. 23 (3) (2001)
Wolfgang Dahmen, Reinhold Schneider, Yuesheng Xu
Nonlinear functionals of wavelet expansions - adaptive reconstruction and fast evaluation. Numerische Mathematik 86 (1) (2000)
Wolfgang Dahmen, H. P. Dikshit, Anupam Ojha
On Wachspress quadrilateral patches. Comput. Aided Geom. Des. 17 (9) (2000)
Thomas Binder, Luise Blank, Wolfgang Dahmen, Wolfgang Marquardt
An adaptive multiscale method for real-time moving horizon optimization. ACC (2000)
Dietrich Braess, Wolfgang Dahmen, Christian Wieners
A Multigrid Algorithm for the Mortar Finite Element Method. SIAM J. Numer. Anal. 37 (1) (1999)
Wolfgang Dahmen, Rob Stevenson
Element-by-Element Construction of Wavelets Satisfying Stability and Moment Conditions. SIAM J. Numer. Anal. 37 (1) (1999)
Wolfgang Dahmen, Reinhold Schneider
Composite wavelet bases for operator equations. Math. Comput. 68 (228) (1999)
Dietrich Braess, Wolfgang Dahmen
A cascadic multigrid algorithm for the Stokes equations. Numerische Mathematik 82 (2) (1999)
Wolfgang Dahmen, Reinhold Schneider
Wavelets on Manifolds I: Construction and Domain Decomposition. SIAM J. Math. Anal. 31 (1) (1999)
Wolfgang Dahmen, Siegfried Müller, Thomas Schlinkmann
Multigrid and Multiscale Decompositions. LSSC (1997)
Wolfgang Dahmen, Angela Kunoth, Karsten Urban
A Wavelet Galerkin Method for the Stokes Equations. Computing 56 (3) (1996)
Wolfgang Dahmen, S. Prössdorf, Reinhold Schneider
Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution. Adv. Comput. Math. 1 (3) (1993)
Wolfgang Dahmen, Charles A. Micchelli
Continuous refinement equations and subdivision. Adv. Comput. Math. 1 (1) (1993)
Wolfgang Dahmen, Tom-Michael Thamm-Schaar
Cubicoids: modeling and visualization. Comput. Aided Geom. Des. 10 (2) (1993)
Wolfgang Dahmen
Decomposition of refinable spaces and applications to operator equations. Numer. Algorithms 5 (5) (1993)
Jésus Miguel Carnice, Wolfgang Dahmen
Convexity preserving interpolation and Powell-Sabin elements. Comput. Aided Geom. Des. 9 (4) (1992)
Wolfgang Dahmen, Charles A. Micchelli
On the piecewise structure of discrete box splines. Comput. Aided Geom. Des. 3 (3) (1986)
Wolfgang Dahmen, Charles A. Micchelli
Line average algorithm: A method for the computer generation of smooth surfaces. Comput. Aided Geom. Des. 2 (1-3) (1985)
Wolfgang Dahmen, Charles A. Micchelli
Subdivision algorithms for the generation of box spline surfaces. Comput. Aided Geom. Des. 1 (2) (1984)