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Overview

Stephan Dahlke is a researcher affiliated with Philipp University of Marburg in Germany. Their work spans multiple disciplines including Mathematics, Computer Science, and Engineering, with a focus on Applied Mathematics, Computational Mechanics, and Computer Vision and Pattern Recognition.

The main topics explored in their research include:

  • Mathematical Analysis and Transform Methods
  • Image and Signal Denoising Methods
  • Advanced Numerical Analysis Techniques
  • Advanced Harmonic Analysis Research
  • Advanced Mathematical Physics Problems
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in inverse problems

Stephan Dahlke has published numerous papers across several prominent venues, with frequent publications in the following journals and platforms:

  • arXiv (Cornell University)
  • IMA Journal of Numerical Analysis
  • Global Change Biology
  • Journal of Complexity
  • IEEE Transactions on Information Theory

Recent papers authored by Stephan Dahlke include:

  • Exponential convergence of adaptive quarklet approximation, 2020, Journal of Complexity
  • Adaptive quarkonial domain decomposition methods for elliptic partial differential equations, 2020, IMA Journal of Numerical Analysis
  • Wavelet-based approximations of pointwise bound constraints in Lebesgue and Sobolev spaces, 2020, IMA Journal of Numerical Analysis
  • Statistically Optimal Estimation of Signals in Modulation Spaces Using Gabor Frames, 2022, IEEE Transactions on Information Theory
  • Nature 4.0: A networked sensor system for integrated biodiversity monitoring, 2023, Global Change Biology

Throughout their career, Stephan Dahlke has collaborated frequently with several coauthors, including:

  • Marc Hovemann
  • Thorsten Raasch
  • Gerd Teschke
  • Sven Heuer
  • Hajo Holzmann

Best Publications

  • Besov regularity for elliptic boundary value problems

    Stephan Dahlke;Ronald A. Devore

  • Shearlet coorbit spaces and associated Banach frames

    Stephan Dahlke;Gitta Kutyniok;Gabriele Steidl;Gerd Teschke

  • THE UNCERTAINTY PRINCIPLE ASSOCIATED WITH THE CONTINUOUS SHEARLET TRANSFORM

    Stephan Dahlke;Gitta Kutyniok;Peter Maass;Chen Sagiv

  • Stable multiscale bases and local error estimation for elliptic problems

    Stephan Dahlke;Wolfgang Dahmen;Reinhard Hochmuth;Reinhold Schneider

  • The Continuous Shearlet Transform in Arbitrary Space Dimensions

    Stephan Dahlke;Gabriele Steidl;Gerd Teschke

  • Adaptive frame methods for elliptic operator equations

    Stephan Dahlke;Massimo Fornasier;Thorsten Raasch

  • Shearlet Coorbit Spaces: Compactly Supported Analyzing Shearlets, Traces and Embeddings

    Stephan Dahlke;Gabriele Steidl;Gerd Teschke

  • Adaptive Wavelet Schemes for Elliptic Problems---Implementation and Numerical Experiments

    Arne Barinka;Titus Barsch;Philippe Charton;Albert Cohen

  • Adaptive Wavelet Methods for Saddle Point Problems---Optimal Convergence Rates

    Stephan Dahlke;Wolfgang Dahmen;Karsten Urban

  • Multiresolution analysis and wavelets on S2 and S3

    Stephan Dahlke;Wolfgang Dahmen;Ilona Weinreich;Eberhard Schmitt

  • Nonlinear Approximation and Adaptive Techniques for Solving Elliptic Operator Equations

    Stephan Dahlke;Wolfgang Dahmen;Ronald A. DeVore

  • Optimal approximation of elliptic problems by linear and nonlinear mappings I

    Stephan Dahlke;Erich Novak;Winfried Sickel

  • Adaptive Frame Methods for Elliptic Operator Equations: The Steepest Descent Approach

    Stephan Dahlke;Thorsten Raasch;Manuel Werner;Massimo Fornasier

  • Besov regularity for elliptic boundary value problems in polygonal domains

    S. Dahlke

  • Spatial Besov regularity for stochastic partial differential equations on Lipschitz domains

    Petru A. Cioica;Stephan Dahlke;Stefan Kinzel;Felix Lindner

  • Generalized coorbit theory, Banach frames, and the relation to α-modulation spaces

    Stephan Dahlke;Massimo Fornasier;Holger Rauhut;Gabriele Steidl

  • Wavelet-Galerkin methods: An adapted biorthogonal wavelet basis

    Stephan Dahlke;Ilona Weinreich

  • The Affine uncertainty principle in one and two dimensions

    S. Dahlke;P. Maass

  • Adaptive wavelet methods and sparsity reconstruction for inverse heat conduction problems

    Thomas Bonesky;Stephan Dahlke;Peter Maass;Thorsten Raasch

  • Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings II

    Stephan Dahlke;Erich Novak;Winfried Sickel

Frequent Co-Authors

Gabriele Steidl
Gabriele Steidl Technical University of Berlin
Peter Maass
Peter Maass University of Bremen
Massimo Fornasier
Massimo Fornasier Technical University of Munich
Winfried Sickel
Winfried Sickel Friedrich Schiller University Jena
Gitta Kutyniok
Gitta Kutyniok Ludwig-Maximilians-Universität München
Wolfgang Dahmen
Wolfgang Dahmen University of South Carolina
Michael Elad
Michael Elad Technion – Israel Institute of Technology
Demetrio Labate
Demetrio Labate University of Houston
Erich Novak
Erich Novak Friedrich Schiller University Jena

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