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ORCIDWolfgang Dahmen
Person information
- affiliation: RWTH Aachen University, Germany
- award (2002): Gottfried Wilhelm Leibniz Prize
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Journal Articles
- 2022
[j55]Albert Cohen, Wolfgang Dahmen, Hans Z. Munthe-Kaas, Martín Sombra, Ágnes Szántó:
Correction to: Preface. Found. Comput. Math. 22(1): 313-314 (2022)- [j54]Albert Cohen, Wolfgang Dahmen, Olga Mula
, James A. Nichols:
Nonlinear Reduced Models for State and Parameter Estimation. SIAM/ASA J. Uncertain. Quantification 10(1): 227-267 (2022) - [j53]Wolfgang Dahmen, Rob P. Stevenson, Jan Westerdiep:
Accuracy controlled data assimilation for parabolic problems. Math. Comput. 91(334): 557-595 (2022) - 2020
- [j52]Wolfgang Dahmen, Felix Gruber, Olga Mula:
An adaptive nested source term iteration for radiative transfer equations. Math. Comput. 89(324): 1605-1646 (2020) - [j51]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): 3355-3381 (2020) - 2019
- [j50]Wolfgang Dahmen, Rob P. Stevenson:
Adaptive Strategies for Transport Equations. Comput. Methods Appl. Math. 19(3): 431-464 (2019) - [j49]Albert Cohen, Wolfgang Dahmen, Hans Z. Munthe-Kaas, Martín Sombra, Ágnes Szántó:
Preface. Found. Comput. Math. 19(5): 963-964 (2019) - 2018
- [j48]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: 191-220 (2018) - [j47]Dirk Broersen, Wolfgang Dahmen, Rob P. Stevenson:
On the stability of DPG formulations of transport equations. Math. Comput. 87(311): 1051-1082 (2018) - 2017
- [j46]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): 1-29 (2017) - 2016
- [j45]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): 813-874 (2016) - [j44]Markus Bachmayr, Wolfgang Dahmen:
Adaptive Low-Rank Methods: Problems on Sobolev Spaces. SIAM J. Numer. Anal. 54(2): 744-796 (2016) - 2015
- [j43]Markus Bachmayr, Wolfgang Dahmen:
Adaptive Near-Optimal Rank Tensor Approximation for High-Dimensional Operator Equations. Found. Comput. Math. 15(4): 839-898 (2015) - [j42]Kolja Brix, Claudio Canuto, Wolfgang Dahmen:
Nested dyadic grids associated with Legendre-Gauss-Lobatto grids. Numerische Mathematik 131(2): 205-239 (2015) - 2012
- [j41]Wolfgang Dahmen, Chunyan Huang, Christoph Schwab, Gerrit Welper:
Adaptive Petrov-Galerkin Methods for First Order Transport Equations. SIAM J. Numer. Anal. 50(5): 2420-2445 (2012) - 2011
- [j40]Peter Binev, Wolfgang Dahmen, Philipp Lamby:
Fast high-dimensional approximation with sparse occupancy trees. J. Comput. Appl. Math. 235(8): 2063-2076 (2011) - [j39]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): 1457-1472 (2011) - 2008
- [j38]Wolfgang Dahmen, Thorsten Rohwedder, Reinhold Schneider, Andreas Zeiser:
Adaptive eigenvalue computation: complexity estimates. Numerische Mathematik 110(3): 277 (2008) - [j37]Kolja Brix, Martin Campos Pinto, Wolfgang Dahmen:
A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method. SIAM J. Numer. Anal. 46(5): 2742-2768 (2008) - 2007
- [j36]Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider:
Adaptive methods for boundary integral equations: Complexity and convergence estimates. Math. Comput. 76(259): 1243-1274 (2007) - [j35]Arne Barinka, Wolfgang Dahmen, Reinhold Schneider:
Fast computation of adaptive wavelet expansions. Numerische Mathematik 105(4): 549-589 (2007) - [j34]Wolfgang Dahmen, Shai Dekel, Pencho Petrushev:
Multilevel preconditioning for partition of unity methods: some analytic concepts. Numerische Mathematik 107(3): 503-532 (2007) - 2006
- [j33]Arne Barinka, Stephan Dahlke, Wolfgang Dahmen:
Adaptive application of operators in standard representation. Adv. Comput. Math. 24(1-4): 5-34 (2006) - [j32]Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider:
Compression Techniques for Boundary Integral Equations - Asymptotically Optimal Complexity Estimates. SIAM J. Numer. Anal. 43(6): 2251-2271 (2006) - 2005
- [j31]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: 1297-1321 (2005) - [j30]Wolfgang Dahmen, Angela Kunoth:
Adaptive Wavelet Methods for Linear-Quadratic Elliptic Control Problems: Convergence Rates. SIAM J. Control. Optim. 43(5): 1640-1675 (2005) - 2004
- [j29]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): 1107-1138 (2004) - [j28]Peter Binev, Wolfgang Dahmen, Ronald A. DeVore:
Adaptive Finite Element Methods with convergence rates. Numerische Mathematik 97(2): 219-268 (2004) - 2003
- [j27]Wolfgang Dahmen, Torben Klint, Karsten Urban:
On Fictitious Domain Formulations for Maxwell's Equations. Found. Comput. Math. 3(2): 135-143 (2003) - [j26]Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore:
Sparse Evaluation of Compositions of Functions Using Multiscale Expansions. SIAM J. Math. Anal. 35(2): 279-303 (2003) - [j25]Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore:
Adaptive Wavelet Schemes for Nonlinear Variational Problems. SIAM J. Numer. Anal. 41(5): 1785-1823 (2003) - 2002
- [j24]Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore:
Adaptive Wavelet Methods II - Beyond the Elliptic Case. Found. Comput. Math. 2(3): 203-245 (2002) - [j23]Wolfgang Dahmen, Angela Kunoth, Reinhold Schneider:
Wavelet Least Squares Methods for Boundary Value Problems. SIAM J. Numer. Anal. 39(6): 1985-2013 (2002) - [j22]Stephan Dahlke, Wolfgang Dahmen, Karsten Urban:
Adaptive Wavelet Methods for Saddle Point Problems - Optimal Convergence Rates. SIAM J. Numer. Anal. 40(4): 1230-1262 (2002) - 2001
- [j21]Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore:
Adaptive wavelet methods for elliptic operator equations: Convergence rates. Math. Comput. 70(233): 27-75 (2001) - [j20]Wolfgang Dahmen, Angela Kunoth:
Appending boundary conditions by Lagrange multipliers: Analysis of the LBB condition. Numerische Mathematik 88(1): 9-42 (2001) - [j19]Wolfgang Dahmen, Birgit Gottschlich-Müller, Siegfried Müller:
Multiresolution schemes for conservation laws. Numerische Mathematik 88(3): 399-443 (2001) - [j18]Wolfgang Dahmen, Siegfried Müller, Thomas Schlinkmann:
On an Adaptive Multigrid Solver for Convection-Dominated Problems. SIAM J. Sci. Comput. 23(3): 781-804 (2001) - [j17]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): 910-939 (2001) - 2000
- [j16]Wolfgang Dahmen, H. P. Dikshit, Anupam Ojha:
On Wachspress quadrilateral patches. Comput. Aided Geom. Des. 17(9): 879-890 (2000) - [j15]Wolfgang Dahmen, Reinhold Schneider, Yuesheng Xu:
Nonlinear functionals of wavelet expansions - adaptive reconstruction and fast evaluation. Numerische Mathematik 86(1): 49-101 (2000) - 1999
- [j14]Wolfgang Dahmen, Reinhold Schneider:
Composite wavelet bases for operator equations. Math. Comput. 68(228): 1533-1567 (1999) - [j13]Dietrich Braess, Wolfgang Dahmen:
A cascadic multigrid algorithm for the Stokes equations. Numerische Mathematik 82(2): 179-191 (1999) - [j12]Wolfgang Dahmen, Reinhold Schneider:
Wavelets on Manifolds I: Construction and Domain Decomposition. SIAM J. Math. Anal. 31(1): 184-230 (1999) - [j11]Dietrich Braess, Wolfgang Dahmen, Christian Wieners:
A Multigrid Algorithm for the Mortar Finite Element Method. SIAM J. Numer. Anal. 37(1): 48-69 (1999) - [j10]Wolfgang Dahmen, Rob Stevenson:
Element-by-Element Construction of Wavelets Satisfying Stability and Moment Conditions. SIAM J. Numer. Anal. 37(1): 319-352 (1999) - 1996
- [j9]Wolfgang Dahmen, Angela Kunoth, Karsten Urban:
A Wavelet Galerkin Method for the Stokes Equations. Computing 56(3): 259-302 (1996) - 1993
- [j8]Wolfgang Dahmen, Charles A. Micchelli:
Continuous refinement equations and subdivision. Adv. Comput. Math. 1(1): 1-37 (1993) - [j7]Wolfgang Dahmen, S. Prössdorf, Reinhold Schneider:
Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution. Adv. Comput. Math. 1(3): 259-335 (1993) - [j6]Wolfgang Dahmen, Tom-Michael Thamm-Schaar:
Cubicoids: modeling and visualization. Comput. Aided Geom. Des. 10(2): 89-108 (1993) - [j5]Wolfgang Dahmen:
Decomposition of refinable spaces and applications to operator equations. Numer. Algorithms 5(5): 229-245 (1993) - 1992
- [j4]Jésus Miguel Carnice, Wolfgang Dahmen:
Convexity preserving interpolation and Powell-Sabin elements. Comput. Aided Geom. Des. 9(4): 279-289 (1992) - 1986
- [j3]Wolfgang Dahmen, Charles A. Micchelli:
On the piecewise structure of discrete box splines. Comput. Aided Geom. Des. 3(3): 185-191 (1986) - 1985
- [j2]Wolfgang Dahmen, Charles A. Micchelli:
Line average algorithm: A method for the computer generation of smooth surfaces. Comput. Aided Geom. Des. 2(1-3): 77-85 (1985) - 1984
- [j1]Wolfgang Dahmen, Charles A. Micchelli:
Subdivision algorithms for the generation of box spline surfaces. Comput. Aided Geom. Des. 1(2): 115-129 (1984)
Conference and Workshop Papers
- 2004
- [c3]Andrew 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: 1635-1642 - 2000
- [c2]Thomas Binder, Luise Blank, Wolfgang Dahmen, Wolfgang Marquardt:
An adaptive multiscale method for real-time moving horizon optimization. ACC 2000: 4234-4238 - 1997
- [c1]Wolfgang Dahmen, Siegfried Müller, Thomas Schlinkmann:
Multigrid and Multiscale Decompositions. LSSC 1997: 18-41
Parts in Books or Collections
- 2020
- [p3]Markus Bachmayr, Wolfgang Dahmen:
Adaptive low-rank approximations for operator equations: Accuracy control and computational complexity. 75 Years of Mathematics of Computation 2020 - 1991
- [p2]Wolfgang Dahmen:
Convexity and Bernstein-Bézier Polynomials. Curves and Surfaces 1991: 107-134 - 1987
- [p1]Wolfgang Dahmen, Charles A. Micchelli:
On the Theory and Application of exponential splines. Topics in Multivariate Approximation 1987: 37-46
Informal and Other Publications
- 2023
- [i10]Peter Binev, Andrea Bonito, Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore, Guergana Petrova:
Solving PDEs with Incomplete Information. CoRR abs/2301.05540 (2023) - [i9]Wolfgang Dahmen, Olga Mula:
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation. CoRR abs/2307.07780 (2023) - 2022
- [i8]Wolfgang Dahmen:
Compositional Sparsity, Approximation Classes, and Parametric Transport Equations. CoRR abs/2207.06128 (2022) - [i7]Wolfgang Dahmen, Harald Monsuur, Rob P. Stevenson:
Least squares solvers for ill-posed PDEs that are conditionally stable. CoRR abs/2207.07542 (2022) - 2021
- [i6]Wolfgang Dahmen, Rob P. Stevenson, Jan Westerdiep:
Accuracy controlled data assimilation for parabolic problems. CoRR abs/2105.05836 (2021) - [i5]Wolfgang Dahmen, Min Wang, Zhu Wang:
Nonlinear Reduced DNN Models for State Estimation. CoRR abs/2110.08951 (2021) - 2020
- [i4]Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore:
State Estimation - The Role of Reduced Models. CoRR abs/2002.00220 (2020) - [i3]Albert Cohen, Wolfgang Dahmen, Olga Mula, James A. Nichols:
Nonlinear reduced models for state and parameter estimation. CoRR abs/2009.02687 (2020) - 2019
- [i2]Markus Bachmayr, Wolfgang Dahmen:
Adaptive Low-Rank Approximations for Operator Equations: Accuracy Control and Computational Complexity. CoRR abs/1910.07052 (2019) - 2014
- [i1]Benjamin Berkels, Peter Binev, Douglas A. Blom, Wolfgang Dahmen, Robert C. Sharpley, Thomas Vogt:
Optimized imaging using non-rigid registration. CoRR abs/1403.6774 (2014)
Coauthor Index
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