Stephan Dahlke - Veröffentlichungen
Aus urheberrechtlichen Gründen sind hier nur die Preprint-Versionen
aufgeführt. Für die endgültige, publizierte Fassung der jeweiligen
Arbeit sei auf die entsprechende Zeitschrift verwiesen.
A Model of Oszillatory Protein Dynamics in Bacteria
- Peter Rashkov, Bernhard A. Schmitt, Lotte Sogaard-Andersen, Peter Lenz und Stephan Dahlke
Preprint October 2011.
A Note on Quarkonial Systems and Multilevel Partition of Unity Methods
- Stephan Dahlke, Peter Oswald und Thorsten Raasch
Preprint Nr. 102, DFG-Schwerpunktprogramm 1324 ''Extraktion quantifizierbarer
Information aus komplexen Systemen'', 2011.
Piecewise Tensor Product Wavelet Bases by Extensions and Approximation Rates
- Nabi Chegini, Stephan Dahlke, Ulrich Friedrich und Rob Stevenson
Preprint Nr. 101, DFG-Schwerpunktprogramm 1324 ''Extraktion quantifizierbarer
Information aus komplexen Systemen'', 2011.
Spacial Besov Regularity for Semilinear Stochastic Partial Differential Equations
- Petru Cioica und Stephan Dahlke
Preprint Nr. 99, DFG-Schwerpunktprogramm 1324 ''Extraktion quantifizierbarer
Information aus komplexen Systemen'', 2011, erscheint in: International Journal of Computer Mathematics..
Shearlet Coorbit Spaces: Traces and Embeddings in Higher Dimensions
- Stephan Dahlke, Sören Häuser, Gabi Steidl und Gerd Teschke
Bericht Nr. 11-2, Philipps-Universität Marburg, 2011.
Coorbit Space Theory for the Topelitz Shearlet Transform
- Stephan Dahlke, Sören Häuser und Gerd Teschke
Bericht Nr. 11-1, Philipps-Universität Marburg, 2011, erscheint in: International Journal of Wavelets,
Multiresolution and Information Processing.
An Adaptive Wavelet Method for Parameter Identification Problems in Parabolic Partial Differential Equations
- Stephan Dahlke, Ulrich Friedrich, Peter Maass, Thorsten Raasch und Rudolf Ressel
Preprint Nr. 86, DFG-Schwerpunktprogramm 1324 ''Extraktion quantifizierbarer
Information aus komplexen Systemen'', 2011.
On Besov Regularity of Solutions to Nonlinear Elliptic Partial Differential Equations
- Stephan Dahlke und Winfried Sickel
Preprint Nr. 85, DFG-Schwerpunktprogramm 1324 ''Extraktion quantifizierbarer
Information aus komplexen Systemen'', 2011.
Adaptive Wavelet Methods for Elliptic Stochastic Partial Differential Equatiosn
- Petru Cioca, Stephan Dahlke, Nico Döring, Stefan Kinzel, Felix Lindner, Thorsten Raasch, Klaus Ritter und Rene Schilling
Preprint Nr. 77, DFG-Schwerpunktprogramm 1324 ''Extraktion quantifizierbarer
Information aus komplexen Systemen'', 2011, erscheint in: BIT.
Spatial Besov Regularity for Stochatic Partial Differential Equations on Lipschitz Domains
- Petru Cioca, Stephan Dahlke, Stefan Kinzel, Felix Lindner, Thorsten Raasch, Klaus Ritter und Rene Schilling
Preprint Nr. 66, DFG-Schwerpunktprogramm 1324 ''Extraktion quantifizierbarer
Information aus komplexen Systemen'', 2010, erscheint in: Studia Mathematica.
Shearlet Coorbit Spaces: Compactly Supported Shearlets, Traces, and Embeddings
- Stephan Dahlke, Gabriele Steidl und Gerd Teschke
Journal of Fourier Analysis and Applications 17(6) 2011), 1232-1255, DOI: 10.1007/s00041-011-9181-6.
Multilevel Preconditioning for Adaptive Sparse Optimization
- Stephan Dahlke, Massimo Fornasier und Thorsten Raasch
Mathematics of Computation 81 (2012), 419-446
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings
IV: Errors in L2 and Other Norms
- Stephan Dahlke, Erich Novak und Winfried Sickel
Journal of Complexity 26(1) (2010), 102-124.
The Continuous Shearlet Transform in Arbitrary Space Dimensions: Variations of a Theme
-Stephan Dahlke und Gerd Teschke
in: "Group Theory: Classes, Representations and Connections, and Applications", (C.W. Danellis, Ed.), Nova
Science Publishers, 2010, 167-175..
Adaptive Wavelet Methods and Sparsity Reconstruction for Inverse Heat
Conduction Problems
-Thomas Bonesky, Stephan Dahlke, Peter Maass und Thorsten Raasch
Advances in Computational Mathematics 33(4) (2010), 385-411, DOI: 10.1007/s10444-010-9147-2.
The Continuous Shearlet Transform in Arbitrary Space Dimensions
-Stephan Dahlke, Gabriele Steidl und Gerd Teschke
Journal of Fourier Analysis and Applications 16 (2010), 340-354.
Besov Regularity for the Poisson Equation in Smooth and Polyhedral Cones
-Stephan Dahlke und Winfried Sickel
in:
"Sobolev Spaces in Mathematics II, Applications to Partial Differential Equations" , International Mathematical
Series, Vol.9, (V. Mazya, Ed.), Springer,
jointly published with Tamara Rozhkovskaya Publisher, Novosibirsk, 2008, 123-146.
Coorbit Theory, Multi-alpha-Modulation Frames and the Concept of Joint
Sparsity for Medical Multi-Channel Data Analysis
-Stephan Dahlke und Gerd Teschke
EURASIP Journal on Advances in Signal Processing, ID 471601.
Nonlinear and Adaptive Frame Approximation Schemes for Elliptic PDEs: Theory and Numerical Experiments
-Stephan Dahlke, Massimo Fornasier, Miriam Primbs, Thorsten Raasch und Manuel Werner
Numerical Methods for Partial Differential
Equations 25(6) (2009), 1366-1401.
Shearlet Coorbit Spaces and Associated Banach Frames
-Stephan Dahlke, Gitta Kutyniok, Gabriele Steidl und Gerd Teschke
Applied and Computational Harmonic Analysis 27(2) (2009), 195-214.
Multiscale Approximation
-Stephan Dahlke, Peter Maass, Gerd Teschke, Karsten Koch, Dirk Lorenz, Stephan Müller,
Stefan Schiffler, Andreas Stämpfli, Herbert Thiele und Manuel Werner
in: ''Mathematical Methods in Time Series Analysis and Digital Image Processing'',
(R. Dahlhaus, J. Kurths, P. Maass und J. Timmer, Eds.), Springer Series: Understanding Complex Systems, 2008, 75-109.
The Uncertainty Principle Associated with the Continuous Shearlet Transform
-Stephan Dahlke, Gitta Kutyniok, Peter Maass, Chen Sagiv, Hans-Georg Stark und Gerd Teschke
International Journal of Wavelets, Multiresolution and Information Processing 6(2) (2008), 157-181.
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings III: Frames
-Stephan Dahlke, Erich Novak und Winfried Sickel
Journal of Complexity 23 (2007), 614-648.
Frames and Coorbit Theory on Homogeneous Spaces with a Special Guidance on the Sphere
-Stephan Dahlke, Gabriele Steidl und Gerd Teschke
Journal of Fourier Analysis and Applications 13(4) (2007), 387-403.
Optimal Adaptive Computations in the Jaffard Algebra and Localized Frames
-Stephan Dahlke, Massimo Fornasier und Karlheinz Gröchenig
Journal of Approximation Theory 162 (2010), 153-185.
The Canonical States Associated With Quotients of the Affine Weyl--Heisenberg Group
-Stephan Dahlke, Dirk Lorenz, Peter Maass, Chen Sagiv und Gerd Teschke
Journal of Applied Functional Analysis 3(2) (2008), 215-232.
Adaptive Frame Methods for Elliptic Operator Equations: The Steepest Descent
Approach
-Stephan Dahlke, Massimo Fornasier, Thorsten Raasch, Rob Stevenson und Manuel Werner
IMA Journal of Numerical Analysis 27(4) (2007), 717-740.
Generalized Coorbit Theory, Banach Frames, and the Relation to alpha-Modulation Spaces
-Stephan Dahlke, Massimo Fornasier, Holger Rauhut, Gabriele Steidl und Gerd Teschke
Proceedings of the
London Mathematical Society 96 (2008), 464-506.
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings II
-Stephan Dahlke, Erich Novak und Winfried Sickel
Journal of Complexity 22 (2006), 549-603.
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings I
-Stephan Dahlke, Erich Novak und Winfried Sickel
Journal of Complexity 22 (2006), 29-49.
Adaptive Frame Methods for Elliptic Operator Equations
-Stephan Dahlke, Massimo Fornasier und Thorsten Raasch
Advances in Computational Mathematics 27(1) (2007), 27-63.
Adaptive Application of Operators in Standard Representation
-Arne Barinka, Stephan Dahlke und Wolfgang Dahmen
Advances in Computational Mathematics 24(1-4) (2006), 5-34.
Weighted Coorbit Spaces and Banach Frames on Homogeneous Spaces
-Stephan Dahlke, Gabriele Steidl und Gerd Teschke
Journal of Fourier Analysis and Applications 10(5) (2004), 507-539.
Reconstruction of Radar Reflectivity Densities in a Narrowband Regime
-Stephan Dahlke, Peter Maass und Gerd Teschke
IEEE Transactions on Antennas and Propagation 52(6) (2004), 1603-1606.
Coorbit Spaces and Banach Frames on Homogeneous Spaces with Applications to
the Sphere
-Stephan Dahlke, Gabriele Steidl und Gerd Teschke
Advances
in Computational Mathematics 21(1--2) (2004), 147-180.
Applications of Wavelet Methods to the Analysis of Meteorological Radar Data -
An Overview
-Stephan Dahlke, Volker Lehmann und Gerd Teschke
Arabian Journal for Science and Engineering 28(1C) (2003) 3-44.
On the Stability of Multiscale Wavelet Methods with Applications to Navier-Stokes Equations
-Klaus Böhmer und Stephan Dahlke
International Journal of Pure and Applied Mathematics 6(4) (2003), 465-489.
An Outline of Adaptive Wavelet Galerkin Methods for Tikhonov Regularization
of Inverse Problems
-Stephan Dahlke und Peter Maass
in:
''Recent Development in Theory & Numerics, Proceedings of the International Conference on Inverse Problems'', Hong Kong, 2002,
World Scientific Publishers, 56-66.
Besov Regularity for the Neumann Problem
-Stephan Dahlke
in: ''Function Spaces, Differential Operators, and
Nonlinear Analysis, The Hans Triebel Anniversary Volume'' (D. Haroske, T. Runst und H.-J. Schmeisser, Eds.), Birkhäuser,
Basel-Boston-Berlin 2003, 267-277.
Reconstruction of Relectivity Densities by Wavelet Transforms
-Stephan Dahlke, Peter Maass und Gerd Teschke
Advances in Computational Mathematics 18(2-4) (2003), 189-209.
Adaptive Wavelet Methods for Saddle Point Problems - Optimal Convergence Rates
-Stephan Dahlke, Wolfgang Dahmen und Karsten Urban
SIAM J. Numer. Anal. 40(4) (2002), 1230-1262.
Besov Regularity for Edge Singularities for the Poisson Equation in Polyhedral Domains
-Stephan Dahlke
Numer. Linear Algebra Appl. 9(6-7) (2002), 457-466.
Quadrature Formulas for Refinable Functions and Wavelets II: Error
Analysis
-Arne Barinka, Titus Barsch, Stephan Dahlke, Michael Konik und Mario
Mommer
Journal of Computational
Analysis and Applications 4(4) (2002), 339-362.
Interpolating Scaling Functions with Duals
-Stephan Dahlke, Peter Maass und Gerd Teschke
Journal of Computational Analysis and Applications 6(1) (2004), 19-29.
A Note
on Interpolating Scaling Functions
-Stephan Dahlke und Peter Maass
Communications in Applied
Analysis 7(2) (2003), 265-279.
Convergent Adaptive
Wavelet Methods for the Stokes Problem
-Stephan Dahlke, Reinhard Hochmuth und Karsten Urban
``Proceedings of European Multigrid Conference 1999'', (E. Dick K. Riemslagh
und J. Vierendeels, Eds.), Springer Lect. Notes Comput. Sci. Eng. 14, 2000,
66-72
Some
Remarks on Quadrature Formulas for Refinable Functions and Wavelets
-Arne Barinka, Titus Barsch, Stephan Dahlke und Michael Konik
Z. Angew. Math. Mech. 81 (2001), 839-855.
Adaptive
Wavelet Schemes for Elliptic Problems - Implementation and
Numerical Experiments
-Arne Barinka, Titus Barsch, Philippe Charton, Albert Cohen, Stephan Dahlke,
Wolfgang Dahmen und Karsten Urban
SIAM Journal on Scientific Computing 23(3) (2001), 910-939.
Adaptive
Wavelet Methods for Saddle Point Problems
-Stephan Dahlke, Reinhard Hochmuth und Karsten Urban
Mathematical Modelling and Numerical Analysis (M2AN) 34(5) (2000), 1003-1022.
Abstract
Besov
Regularity for the Stokes Problem
-Stephan Dahlke
in: "Advances in Multivariate Approximation", (W. Haussmann,
K. Jetter und M. Reimer, Eds.), Wiley VCH, Mathematical Research 107, Berlin, 1999, 129-138.
Abstract
Besov
Regularity for Interface Problems
-Stephan Dahlke
Z. Angew. Math. Mech. 79(6) (1999), 383-388.
Abstract
Multilevel
Characterizations of Function Spaces on Skeletons
-Stephan Dahlke und Angela Kunoth
in: Proceedings of the International Wavelet Conference
"Wavelets and Multiscale Methods", INRIA, Tanger, Marokko, 1998.
Abstract
A New Approach
to Interpolating Scaling Functions
-Stephan Dahlke, Karlheinz Gröchenig und
Peter Maass
Applicable Analysis 72(3-4) (1999), 485-500.
Abstract
Besov Regularity for Elliptic Boundary Value Problems in Polygonal Domains
-Stephan Dahlke
Appl. Math. Lett. 12(6) (1999), 31-38.
Abstract
Besov Regularity for Elliptic Boundary Value Problems with Variable Coefficients
-Stephan Dahlke
Manuscripta Math. 95 (1998), 59-77.
Abstract
Interpolating Refinable
Functions and Wavelets for General Scaling Matrices
- Stephan Dahlke und Peter Maass
Numer. Funct. Anal. Optim. 18(5&6) (1997), 521-539.
Abstract
Nonlinear Approximation and Adaptive Techniques for Solving Elliptic Operator
Equations
-Stephan Dahlke, Wolfgang Dahmen und Ronald A. DeVore
in: "Multicale Wavelet Methods for Partial Differential Equations" (W. Dahmen, A. Kurdila
und P. Oswald, Eds.), Academic Press, San Diego, 1997, 237-283.
Abstract
Biorthogonal Box Spline Wavelet Bases
(Ausführliche Version - 360KB)
(Version ohne BIlder)
- Stephan Dahlke, Karlheinz Gröchenig und Vera Latour
in: "Surface Fitting and Multiresolution Methods" (A. Le Méhauté,
C. Rabut und L. L. Schumaker, Eds.), Vanderbilt University Press,
Nashville, 1997, 83-92.
Abstract
Wavelets: Construction Principles and Applications to the Numerical
Treatment of Operator Equations
-Stephan Dahlke
Habilitationsschrift, RWTH Aachen, Shaker Verlag , Aachen, 1997, ISBN 3-8265-2549-3, 1-181.
Abstract
Stable Multiscale Bases and Local Error Estimation for Elliptic Problems
- Stephan Dahlke, Wolfgang Dahmen, Reinhard Hochmuth und Reinhold Schneider
Appl. Numer. Math. 23(1) (1997), 21-48.
Abstract
Besov Regularity for Elliptic Boundary Value Problems
- Stephan Dahlke und Ronald A. DeVore
Comm. Partial Differential Equations 22(1&2) (1997), 1-16.
Abstract
Generalized Cardinal B-Splines: Stability, Linear Independence, and Appropriate Scaling
Matrices
-Stephan Dahlke, Vera Latour und Michael Neeb
Constr. Approx. 13 (1997), 29-56.
Abstract
Invariant Manifolds for Products of Random Diffeomorphisms
-Stephan Dahlke
J. Dynam. Differential Equations 9(1) (1997), 157-210.
Abstract
Continuous Wavelet Transforms with Applications to Analyzing Functions on
Spheres
-Stephan Dahlke und Peter Maass
J. Fourier Anal. Appl. 2(4) (1996), 379-396.
Abstract
A Note on the Linear Independence of Characteristic Functions of
Self-Similar Sets
-Stephan Dahlke und Vera Latour
Arch. Math. 66 (1996), 80-88.
Abstract
The Affine Uncertainty Principle in One and Two Dimensions
-Stephan Dahlke und Peter Maass
Comput. Math. Appl. 30(3-6) (1995), 293-305.
Abstract
The Construction of Wavelets on Groups and Manifolds
-Stephan Dahlke
in: "General Algebra and Discrete Mathematics" (K. Deneke und O. Lüders, Eds.),
Heldermann-Verlag, Berlin, 1995, 47-58.
Abstract
Smooth Refinable Functions and Wavelets Obtained by Convolution Products
-Stephan Dahlke, Wolfgang Dahmen und V. Latour
Appl. Comput. Harmon. Anal. 2 (1995), 68-84.
Abstract
A Note on Generalized Weyl-Heisenberg Frames
-Stephan Dahlke
Appl. Math. Lett. 7(3) (1994), 79-82.
Abstract
Multiresolution Analysis, Haar Bases and Wavelets on Riemannian Manifolds
-Stephan Dahlke
in: "Wavelets: Theory, Algorithms, and Applications" (C. K. Chui, L. Montefusco und
L. Puccio, Eds.), Academic Press, 1994, 33-52.
Abstract
Multiresolution Analysis and Wavelets on Locally Compact Abelian Groups
-Stephan Dahlke
in: "Wavelets, Images, and Surface Fittings" (P. J. Laurent, A. Le Méhauté
und L. L. Schumaker, Eds.), A K Peters, Wellesley, Massachusetts, 1994, 141-156.
Abstract
Biorthogonal Wavelets and Multigrid
- Stephan Dahlke und Angela Kunoth
in: Proceedings of the 9th GAMM-Seminar "Adaptive Methods: Algorithms, Theory and
Applications" (W. Hackbusch und G. Wittum, Eds.), NNFM Series Vol. 46,
Vieweg, 1994, 99-119.
Abstract
Multiresolution Analysis and Wavelets on S2 and S3
- Stephan Dahlke, Wolfgang Dahmen, Eberhard Schmitt und Ilona Weinreich
Numer. Funct. Anal. Optim. 16(1&2) (1995), 19-41.
Abstract
Wavelet Bases Adapted to Pseudo-Differential Operators
- Stephan Dahlke und Ilona Weinreich
Appl. Comp. Harmon. Anal. 1(3) (1994), 267-283.
Abstract
Wavelet-Galerkin Methods: An Adapted Biorthogonal Wavelet Basis
- Stephan Dahlke und Ilona Weinreich
Constr. Approx. 9 (1993), 237-262.
Abstract
Invariante Mannigfaltigkeiten für Produkte zufälliger Diffeomorphismen
-Stephan Dahlke
Dissertation, Universität Bremen, 1989, 1-106.
Abstract
Software-Dokumentationen
The
IGPM Villemoes Machine
- Arne Barinka, Stephan Dahlke und Nicole Mulders
IGPM-Report Nr. 184, RWTH Aachen, 2000.
Skripte
Wavelets: Grundlagen und Anwendungen
- Stephan Dahlke
Skript zum WE-Heraeus Ferienkurs ``Mathematische Methoden und Computeralgebra
in der Physik'', Martin-Luther-Universität Halle-Wittenberg, 14.-25. September 1998.
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