Wolfgang Dahmen

Affiliations:
  • RWTH Aachen University, Germany


According to our database1, Wolfgang Dahmen authored at least 69 papers between 1984 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation.
CoRR, 2023

Solving PDEs with Incomplete Information.
CoRR, 2023

2022
Accuracy controlled data assimilation for parabolic problems.
Math. Comput., 2022

Nonlinear Reduced Models for State and Parameter Estimation.
SIAM/ASA J. Uncertain. Quantification, 2022

Correction to: Preface.
Found. Comput. Math., 2022

Least squares solvers for ill-posed PDEs that are conditionally stable.
CoRR, 2022

Compositional Sparsity, Approximation Classes, and Parametric Transport Equations.
CoRR, 2022

2021
Nonlinear Reduced DNN Models for State Estimation.
CoRR, 2021

2020
Optimal Reduced Model Algorithms for Data-Based State Estimation.
SIAM J. Numer. Anal., 2020

An adaptive nested source term iteration for radiative transfer equations.
Math. Comput., 2020

State Estimation - The Role of Reduced Models.
CoRR, 2020

Adaptive low-rank approximations for operator equations: Accuracy control and computational complexity.
Proceedings of the 75 Years of Mathematics of Computation, 2020

2019
Preface.
Found. Comput. Math., 2019

Adaptive Low-Rank Approximations for Operator Equations: Accuracy Control and Computational Complexity.
CoRR, 2019

Adaptive Strategies for Transport Equations.
Comput. Methods Appl. Math., 2019

2018
On the stability of DPG formulations of transport equations.
Math. Comput., 2018

Adaptive anisotropic Petrov-Galerkin methods for first order transport equations.
J. Comput. Appl. Math., 2018

2017
Data Assimilation in Reduced Modeling.
SIAM/ASA J. Uncertain. Quantification, 2017

2016
Adaptive Low-Rank Methods: Problems on Sobolev Spaces.
SIAM J. Numer. Anal., 2016

Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations.
Found. Comput. Math., 2016

2015
Nested dyadic grids associated with Legendre-Gauss-Lobatto grids.
Numerische Mathematik, 2015

Adaptive Near-Optimal Rank Tensor Approximation for High-Dimensional Operator Equations.
Found. Comput. Math., 2015

2014
Optimized imaging using non-rigid registration.
CoRR, 2014

2012
Adaptive Petrov-Galerkin Methods for First Order Transport Equations.
SIAM J. Numer. Anal., 2012

2011
Convergence Rates for Greedy Algorithms in Reduced Basis Methods.
SIAM J. Math. Anal., 2011

Fast high-dimensional approximation with sparse occupancy trees.
J. Comput. Appl. Math., 2011

2008
A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method.
SIAM J. Numer. Anal., 2008

Adaptive eigenvalue computation: complexity estimates.
Numerische Mathematik, 2008

2007
Multilevel preconditioning for partition of unity methods: some analytic concepts.
Numerische Mathematik, 2007

Fast computation of adaptive wavelet expansions.
Numerische Mathematik, 2007

Adaptive methods for boundary integral equations: Complexity and convergence estimates.
Math. Comput., 2007

2006
Compression Techniques for Boundary Integral Equations - Asymptotically Optimal Complexity Estimates.
SIAM J. Numer. Anal., 2006

Adaptive application of operators in standard representation.
Adv. Comput. Math., 2006

2005
Adaptive Wavelet Methods for Linear-Quadratic Elliptic Control Problems: Convergence Rates.
SIAM J. Control. Optim., 2005

Universal Algorithms for Learning Theory Part I : Piecewise Constant Functions.
J. Mach. Learn. Res., 2005

2004
Adaptive Finite Element Methods with convergence rates.
Numerische Mathematik, 2004

Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method.
Math. Comput., 2004

Vision-based control of micro-air-vehicles: progress and problems in estimation.
Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

2003
Adaptive Wavelet Schemes for Nonlinear Variational Problems.
SIAM J. Numer. Anal., 2003

Sparse Evaluation of Compositions of Functions Using Multiscale Expansions.
SIAM J. Math. Anal., 2003

On Fictitious Domain Formulations for Maxwell's Equations.
Found. Comput. Math., 2003

2002
Wavelet Least Squares Methods for Boundary Value Problems.
SIAM J. Numer. Anal., 2002

Adaptive Wavelet Methods for Saddle Point Problems - Optimal Convergence Rates.
SIAM J. Numer. Anal., 2002

Adaptive Wavelet Methods II - Beyond the Elliptic Case.
Found. Comput. Math., 2002

2001
On an Adaptive Multigrid Solver for Convection-Dominated Problems.
SIAM J. Sci. Comput., 2001

Adaptive Wavelet Schemes for Elliptic Problems - Implementation and Numerical Experiments.
SIAM J. Sci. Comput., 2001

Appending boundary conditions by Lagrange multipliers: Analysis of the LBB condition.
Numerische Mathematik, 2001

Multiresolution schemes for conservation laws.
Numerische Mathematik, 2001

Adaptive wavelet methods for elliptic operator equations: Convergence rates.
Math. Comput., 2001

2000
Nonlinear functionals of wavelet expansions - adaptive reconstruction and fast evaluation.
Numerische Mathematik, 2000

On Wachspress quadrilateral patches.
Comput. Aided Geom. Des., 2000

An adaptive multiscale method for real-time moving horizon optimization.
Proceedings of the American Control Conference, 2000

1999
Element-by-Element Construction of Wavelets Satisfying Stability and Moment Conditions.
SIAM J. Numer. Anal., 1999

A Multigrid Algorithm for the Mortar Finite Element Method.
SIAM J. Numer. Anal., 1999

Wavelets on Manifolds I: Construction and Domain Decomposition.
SIAM J. Math. Anal., 1999

A cascadic multigrid algorithm for the Stokes equations.
Numerische Mathematik, 1999

Composite wavelet bases for operator equations.
Math. Comput., 1999

1997
Multigrid and Multiscale Decompositions.
Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1997

1996
A Wavelet Galerkin Method for the Stokes Equations.
Computing, 1996

1993
Decomposition of refinable spaces and applications to operator equations.
Numer. Algorithms, 1993

Cubicoids: modeling and visualization.
Comput. Aided Geom. Des., 1993

Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution.
Adv. Comput. Math., 1993

Continuous refinement equations and subdivision.
Adv. Comput. Math., 1993

1992
Convexity preserving interpolation and Powell-Sabin elements.
Comput. Aided Geom. Des., 1992

1991
Convexity and Bernstein-Bézier Polynomials.
Proceedings of the Curves and Surfaces, 1991

1987
On the Theory and Application of exponential splines.
Proceedings of the Topics in Multivariate Approximation, 1987

1986
On the piecewise structure of discrete box splines.
Comput. Aided Geom. Des., 1986

1985
Line average algorithm: A method for the computer generation of smooth surfaces.
Comput. Aided Geom. Des., 1985

1984
Subdivision algorithms for the generation of box spline surfaces.
Comput. Aided Geom. Des., 1984


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