Stephan Dahlke - Publications
For copyright reasons, you will find here only preprints. For the
final versions, we refer to the corresponding journals.
Some remarks on cone-adapted shearlets,
- Stephan Dahlke and Gerd Teschke
manuscirpt, submitted
A networked sensor system for integrated biodiversity monitoring,
-Dirk Zeuss et. al.
Global Change Biology (2023), https://doi.org/10.1111/gcb.17056
Adaptive quarklet tree approximation,
- Stephan Dahlke, Marc Hovemann, Thorsten Raasch und Dorian Vogel
ArXiv preprint: 2301.04111
Quarklet characterization of Triebel-Lizorkin spaces,
- Marc Hovemann and Stephan Dahlke
Journal of Approximation Theory 295 (2023), Article 105968.
Besov regularity of non-linear parabolic PDEs on non-convex polyhedral domains
- Stephan Dahlke and Cornelia Schhneider
ArXiv preprint: 2105.13355.
Anisotropic Besov regularity of parabolic PDEs,
- Stephan Dahlke and Cornelia Schhneider
Pure and Applied Functional Analysis 8(2) (2023), 457-476.
Continuous Wavelet Frames on the Sphere: The Group-Theoretic Approach Revisited,
- Stephan Dahlke, Filippo De Mari, Ernesto De Vito, Markus Hansen, Marzieh Hasannasab, Michael Quellmalz, Gabriele Steidl, and Gerd Teschke
Applied and Computational Harmonic Analysis 56 (2022), 123-149.
Statistically optimal estimation of signals in modulation spaces using Gabor frames,
- Stephan Dahlke, Sven Heuer, Hajo Holzmann, and Pavel Tafo
IEEE Transactions on Information Theory (2022), doi: 10.1109/TIT.2022.3152734.
A wavelet-based apporach for the optimal control of non-local operator equations,
- Stephan Dahlke, Helmut Harbrecht and Thomas Surowiec
SIAM Journal on Scientific Computing 44(4 )(2022), doi: 10.1137/20M1350790.
Wavelet-based approximations of pointwise bound constraints in Lebesgue and Sobolev spaces,
- Stephan Dahlke and Thomas Surowiec
IMA Journal of Numerical Analysis 42(1) (2022), 417–439.
Exponential convergence of adaptive quarklet approximation,
- Stephan Dahlke, Thorsten Raasch, and Alexander Sieber,
Journal of Complexity (2020), https://doi.org/10.1016/j.jco.2020.101470.
Properties of Kondratiev spaces,
- Stephan Dahlke, Markus Hansen, Cornelia Schneider, and Winfried Sickel,
Preprint Nr. 2018-06, Fachbereich Mathematik und Informatik, 2018.
Traces of shearlet coorbit spaces on domains,
- Stephan Dahlke, Qaiser Jahan, Cornelia Schneider, Gabriele Steidl, and Gerd Teschke,
Applied Mathematics Letters 91 (2019), 35-40.
Introducing Nature 4.0: A sensor network for environmental monitoring in the Marburg Open Forest,
- N. Friese et al.,
Biodiversity Information Sciences and Standards 2 (2019).
On Besov regularity of solutions to nonlinear elliptic partial differential equations,
- Stephan Dahlke, Markus Hansen, Cornelia Schneider und Winfried Sickel,
Nonlinear Analysis 192 (2020), 111686, https://doi.org/10.1016/j.na.2019.111686.
On the atomic decomposition of coorbit spaces with non-integrable kernel,
- Stephan Dahlke, Filippo De Mari, Ernesto De Vito, Lukas Saswatzki, Gabi Steidl, Gerd Teschke, and Felix Voigtlaender,
in: Landscapes of Time-Frequency Analysis, (H.-G. Feichtinger, P. Boggiatto, E. Cordero, M. de Gosson, F. Nicola, A. Oliaro, A. Tabacco, eds.), Birkhäuser, 2018, 75-144.
Discribing the singular behaviour of parabolic equations on cones in fractional Sobolev spaces,
- Stephan Dahlke and Cornelia Schneider
GEM: International Journal on Geomathematics.
9(2) 2018, 293–315.
Identification of shallow geohazard channels based on seismic attributes in the South Caspian Sea
H. Karbalaali, A. Javaherian, F. Qayyum, P. de Groot, S.
Dahlke, und S. Torabi
Geophysics 83(6) (2018), B317-B322
Adaptive quarkonial domain decomposition methods for elliptic partial differential equations
- Stephan Dahlke, Ulrich Friedrich, Philipp Keding, Thorsten Raasch, and Alexander Sieber
to appear in: IMA Journal of Numerical Analysis.
Seismic channel edge detection using 3D shearlets -- A study on synthetic and real channelized 3D seismic data
- Haleh Karbalaali, Abdolrahim Javaherian, Stephan Dahlke, R. Reisenhofer, and Siyavash Torabi
.
Geophysical Prospecting 66 (2018), 1272--1289, DOI:10.1111/1365-2478.12629.
Besov regularity of parabolic and hyperbolic PDEs
- Stephan Dahlke and Cornelia Schneider
Analysis and Applications 17(2) (2019), 235-291, DOI 10.1142/S0219530518500306.
Channel characterization using 2D complex shearlet transform: A case study from the south of Caspian Sea
- Haleh Karbalaali, Abdolrahim Javaherian, Siyavash Torabi, and Stephan Dahlke
Exploration Geophysics (2017), DOI 10.1071/EG17057.
Adaptive Wavelet BEM for Boundary Integral Equations: Theory and Numerical Experiments
- Stephan Dahlke, Helmut Harbrecht, Manuela Utzinger, and Markus Weimar
Numerical Functional Analysis and Optimization 39(2) (2018), 208--232, DOI: 10.1080/01630563.2017.1359623.
Channel boundary detection based on 2D shearlet transformation - An Application to
the seismic data in the South Caspian Sea
- Haleh Karbalaali, Abdolrahim Javaherian, Stephan Dahlke, and Siyavash Torabi
Journal of Applied Geophysics 146 (2017), 67--79, DOI: 10.1016/j.jappgeo.2017.09.001.
Besov Regularity for the Stationary Navier-Stokes Equation on Bounded Lipschitz Domains
- Frank Eckhardt, Petru A. Cioica-Licht, and Stephan Dahlke
Applicable Analysis 97(3) (2018), 466-485, DOI: 10.1080/00036811.2016.1272103.
Recent progress in shearlet theory: Systematic construction of shearlet groups, characterization of wavefront sets, and new embeddings
- Giovanni S. Alberti, Stephan Dahlke, Filippo de Mari, Ernesto de Vito, and Hartmut Führ
in: ''Novel Methods in Harmonic
Analysis with Applications to Numerical Analysis and Data Processing'', (I. Pesenson, H. Mhaskar, A. Mayeli, and Q.T. Le Gia, Eds.), Birkhäuser, 2017, 127-160.
The alpha-Modulation Transform: Admissibility, Coorbit Theory and Frames of Compactly Supported Functions
- Michael Speckbacher, Dominik Bayer, Stephan Dahlke, and Peter Balazs
Monatshefte der Mathematik 184 (2017), 133-169, DOI: 10.1007/s00605-017-1085-3.
Continuous and Discrete Frames Generated by the Evolution Flow of the Schrädinger Equations
- Giovanni S. Alberti, Stephan Dahlke, Filippo de Mari, Ernesto de Vito, and Stefano Vigogna
Analysis and Applications 15(6) (2017), 298-329, DOI: 10.1142/S021953051750004X.
Quarkonial Frames with Compression Properties
- Stephan Dahlke, Philipp Keding, and Thorsten Raasch
Calcolo 54(3) (2017), 823-855, DOI: 10.1007/s10092-016-0210-3.
Harmonic and Applied Analysis: From Groups to Signals
- Stephan Dahlke, Filippo de Mari, Philipp Grohs, and Demitrio Labate
Applied and Numerical Harmonic Analysis, Birkhäuser, 2015, ISBN 978-3-319-18862-1.
Differential Single-Molecule Dynsamics and Induction of Proteins Mediating Presynaptic Homologous Recombination in Bacterial Cells
- Stephan Altenburger, Mirian Pediaditakis, Sandra Fries, Nina El Najjar, Bernhard Schmitt, Stephan Dahlke, Georg Fritz, and Peter L. Graumann
PLoS Genetics 13(2): e1006561. https://doi.org/10.1371/journal.pgen.1006561
On the Convergence Analysis of the Inexact Linearly Implicit Euler Scheme for a Class of SPDEs
- Petru Cioica-Licht, Stephan Dahlke, Nicolas Döhring, Ulrich Friedrich, Stefan Kinzel, Felix Lindner, Thorsten Raasch, Klaus Ritter, and Rene Schilling
Potential Analysis 44(3) (2016), 473-495.
Extraction of Quantifiable Information from Complex Systems
Stephan Dahlke, Wolfgang Dahmen, Michael Griebel, Wolfgang Hackbusch, Klaus Ritter, Reinhold Schneider, Christoph Schwab, and Harry Yserentant
Lecture Notes in Computational Science and Engineering 102, Springer, 2014
A Class of Random Functions in Non-Standard Smoothness Spaces
- Stephan Dahlke, Nicolas Döhring und Stefan Kinzel
To appear in: Vietnam Journal of Mathematics, DOI: 10.1007/s10013-017-0258-7.
Besov Regularity of Solutions to the p-Poisson Equation
- Stephan Dahlke, Lars Diening, Christoph Hartmann, Benjamin Scharf, and Markus Weimar
Nonlinear Analysis: Theory, Methods & Applications 130 (2016), 298-329, DOI 10.1016/j.na.2015.10.015.
A Model for Spatio-Temporal Dynamics in a Regulatory Network for Cell Polarity
Peter Rashkov, Bernhard Schmitt, Daniela Kehlberg, Lotte Sogaard-Andersen, and Stephan Dahlke
Mathematical Biosciences 258 (2014), 189-200, ISSN 0025-5564.
Different Faces of the Shearlet Group
- Stephan Dahlke, Felippo de Mari, Ernesto de Vito, Sören Häuser, Gabriele Steidl, and Gerd Teschke
Journal of Geometric Analysis, 26(3) (2016), 1693-1729, DOI 10.1007/s12220-015-9605-7.
Coorbit Spaces with Voice in a Frechet Space
- Stephan Dahlke, Filippo de Mari, Ernesto de Vito, Demetrio Labate, Gabriele Steidl, Gerd Teschke, and Stefano Vigogna
Journal of Fourier Analysis and Applications 23(1) (2016), 141-206, DOI 10.1007/s00041-016-9466-x.
Besov Regularity for Operator Equations on Patchwise Smooth Manifolds
- Stephan Dahlke and Markus Weimar
Foundations of Computational Mathematics 15(6) (2015), 1533-1569.
Multilevel Preconditioning for Sparse Optimization of Functionals with Nonconvex Fidelity Terms
- Stephan Dahlke, Massimo Fornasier, Ulrich Friedrich, and Thorsten Raasch
Journal of Inverse and Ill-Posed Problems 23(4) (2015), 393-414.
Adaptive Wavelet Schwarz Methods for the Navier-Stokes Equation
- Stephan Dahlke, Dominik Lellek, Shiu Hong Lui und Rob Stevenson
Numerical Functional Analysis and Optimization 37(10) (2016), 1213-1234.
R Peak Detection of the ECG Using the Dyadic Wavelet Transform Modulus Maxima Method
C. Nell, K. Kehr, A. Rembert-Koczulla, T. Greulich, U. Koehler, and S. Dahlke
Preprint, April 2013
A Model for `Antagonistic' Protein Dynamics
- Peter Rashkov, Bernhard A. Schmitt, Lotte Sogaard-Andersen, Peter Lenz, and Stephan Dahlke
International Journal for Biomathematics & Biostatistics 2(1) (2013), 75-85.
On the Convergence Analysis of Rothe's Method
- P.A. Cioica, S. Dahlke, N. Döhring, U. Friedrich, S. Kinzel, F. Lindner, T. Raasch, K. Ritter, and R.L. Schilling
Foundations of Computational Mathematics 14(5) (2014), 863-912, DOI 10.1007/s10208-013-9183-7.
A Model of Oszillatory Protein Dynamics in Bacteria
- Peter Rashkov, Bernhard A. Schmitt, Lotte Sogaard-Andersen, Peter Lenz,and Stephan Dahlke
Bulletin of Mathematical Biology 74(9) (2012), 2183-2203.
A Note on Quarkonial Systems and Multilevel Partition of Unity Methods
- Stephan Dahlke, Peter Oswald und Thorsten Raasch
Mathematische Nachrichten 286 (2013), 600-613, DOI 10.1002/mana.2011246.
Piecewise Tensor Product Wavelet Bases by Extensions and Approximation Rates
- Nabi Chegini, Stephan Dahlke, Ulrich Friedrich und Rob Stevenson
Mathematics of Computation 82 (2013) 2157-2190.
Spacial Besov Regularity for Semilinear Stochastic Partial Differential Equations
- Petru Cioica and Stephan Dahlke
International Journal of Computer Mathematics (2011), DOI 10.1080/00207160.2011.631530.
Shearlet Coorbit Spaces: Traces and Embeddings in Higher Dimensions
- Stephan Dahlke, Sören Häuser, Gabi Steidl, and Gerd Teschke
Monatshefte der Mathematik 169 (2012),15-32, DOI 10.1007/s00605-012-0408-7.
Coorbit Space Theory for the Topelitz Shearlet Transform
- Stephan Dahlke, Sören Häuser, and Gerd Teschke
International Journal of Wavelets,
Multiresolution and Information Processing 10(4) (2012), DOI 10.1142/S0219691312500373.
An Adaptive Wavelet Method for Parameter Identification Problems in Parabolic Partial Differential Equations
- Stephan Dahlke, Ulrich Friedrich, Peter Maass, Thorsten Raasch, and Rudolf Ressel
Journal of Inverse and Ill-Posed Problems 20(2) (2012), 213-251.
On Besov Regularity of Solutions to Nonlinear Elliptic Partial Differential Equations
- Stephan Dahlke and Winfried Sickel
Revista Matematica Complutense (2013), DOI 10.1007/s13163-012-0093-z.
Adaptive Wavelet Methods for Elliptic Stochastic Partial Differential Equatiosn
- Petru Cioca, Stephan Dahlke, Nico Döring, Stefan Kinzel, Felix Lindner, Thorsten Raasch, Klaus Ritter, and Rene Schilling
BIT 52(3) (2012), 589-614, DOI: 10.1007/s10543-011-0368-7.
Spatial Besov Regularity for Stochatic Partial Differential Equations on Lipschitz Domains
- Petru Cioca, Stephan Dahlke, Stefan Kinzel, Felix Lindner, Thorsten Raasch, Klaus Ritter, and Rene Schilling
Studia Mathematica 207(3) (2011), 197-234.
Shearlet Coorbit Spaces: Compactly Supported Shearlets, Traces, and Embeddings
- Stephan Dahlke, Gabriele Steidl, and 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, and 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 and Winfried Sickel
Journal of Complexity 26(1) (2010), 102-124
The Continuous Shearlet Transform in Arbitrary Space Dimensions: Variations of a Theme
-Stephan Dahlke and 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, and Thorsten Raasch
Advances in Computational Mathematics 33(4) (2010), 385-411.
The Continuous Shearlet Transform in Arbitrary Space Dimensions
-Stephan Dahlke, Gabriele Steidl, and 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 and 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 and 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, and 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, and Gerd Teschke
Preprint Nr. 2007-5, Philipps-Universität Marburg, 2007, to appear in: Applied and Computational Harmonic Analysis.
Multiscale Approximation
-Stephan Dahlke, Peter Maass, Gerd Teschke, Karsten Koch, Dirk Lorenz, Stephan Müller,
Stefan Schiffler, Andreas Stämpfli, Herbert Thiele, and Manuel Werner
in: ''Mathematical Methods in Time Series Analysis and Digital Image Processing'',
(R. Dahlhaus, J. Kurths, P. Maass, and 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, and 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, and 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, and 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, and 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, and 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, and 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, and 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, and Winfried Sickel
Journal of Complexity 22 (2006), 549-603.
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings I
-Stephan Dahlke, Erich Novak, and Winfried Sickel
Journal of Complexity 22 (2006), 29-49.
Adaptive Frame Methods for Elliptic Operator Equations
-Stephan Dahlke, Massimo Fornasier, and Thorsten Raasch
Advances in Computational Mathematics 27(1) (2007), 27-63.
Adaptive Application of Operators in Standard Representation
-Arne Barinka, Stephan Dahlke, and 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, and 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, and 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, and 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, and 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 and 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 Parabolic Problems
-Stephan Dahlke and 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, and H.-J. Schmeisser, Eds.), Birkhäuser,
Basel-Boston-Berlin 2003, 267-277.
Reconstruction of Relectivity Densities by Wavelet Transforms
-Stephan Dahlke, Peter Maass, and 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, and Karsten Urban
SIAM Journal on Numerical Analysis 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, and Mario
Mommer
Journal of Computational
Analysis and Applications 4(4) (2002), 339-362.
Interpolating Scaling Functions with Duals
-Stephan Dahlke, Peter Maass, and Gerd Teschke
Journal of Computational Analysis and Applications 6(1) (2004), 19-29.
A Note
on Interpolating Scaling Functions
-Stephan Dahlke and Peter Maass
Communications in Applied Analysis 7(2) (2004), 265-279.
Convergent Adaptive
Wavelet Methods for the Stokes Problem
-Stephan Dahlke, Reinhard Hochmuth, and 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, and Michael Konik
Z. Angew. Math. Mech. 81 (2001), 839-85
Adaptive
Wavelet Schemes for Elliptic Problems - Implementation and
Numerical Experiments
-Arne Barinka, Titus Barsch, Philippe Charton, Albert Cohen, Stephan Dahlke,
Wolfgang Dahmen, and Karsten Urban
SIAM Journal on Scientific Computing 23(3) (2001).
Adaptive
Wavelet Methods for Saddle Point Problems
-Stephan Dahlke, Reinhard Hochmuth, and Karsten Urban
Mathematical Modelling and Numerical Analysis (M2AN)}34(5) (2000), 1003-1022.
Besov
Regularity for the Stokes Problem
-Stephan Dahlke
in: "Advances in Multivariate Approximation" (W. Haussmann, K.
Jetter, and 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 and Angela Kunoth
in: Proceedings of the International Wavelet Conference
"Wavelets and Multiscale Methods", INRIA, Tangier, Morocco, 1998.
A New Approach
to Interpolating Scaling Functions
-Stephan Dahlke, Karlheinz Gröchenig, and
Peter Maass
Applicable Analysis 72(3-4) (1999), 485-500.
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 and 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,
and Ronald A. DeVore
in: "Multicale Wavelet Methods for Partial Differential Equations" (W. Dahmen, A. Kurdila,
and P. Oswald, Eds.), Academic Press, San Diego, 1997, 237-283.
Abstract
Biorthogonal Box Spline Wavelet Bases
(Full version - 360KB)
(Version without pirctures)
- Stephan Dahlke, Karlheinz Gröchenig, and Vera Latour
in: "Surface Fitting and Multiresolution Methods" (A. Le Méhauté,
C. Rabut, and 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
Habilitation Thesis, RWTH Aachen, Shaker Verlag, Aachen, 1997, ISBN 3-8265-2549-3, 1-181.
Stable Multiscale Bases and Local Error Estimation for Elliptic Problems
- Stephan Dahlke, Wolfgang Dahmen, Reinhard Hochmuth, and Reinhold Schneider
Appl. Numer. Math. 23(1) (1997), 21-48.
Abstract
Besov Regularity for
Elliptic Boundary Value Problems
- Stephan Dahlke and 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, and Michael Neeb
Constr. Approx. 13 (1997), 29-56.
Abstract
Invariant Manifolds for Products of Random Diffeomorphisms
-Stephan Dahlke
J. Dynam. and Differential Equations 9(1) (1997), 157-210.
Abstract
Continuous Wavelet Transforms with Applications to Analyzing Functions on
Spheres
-Stephan Dahlke and 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 and Vera Latour
Arch. Math. 66 (1996), 80-88.
Abstract
The Affine Uncertainty Principle in One and Two Dimensions
-Stephan Dahlke and 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 and O. Lüders, Eds.),
Heldermann-Verlag, Berlin, 1995, 47-58.
Abstract
Smooth Refinable Functions and Wavelets Obtained by Convolution Products
-Stephan Dahlke, Wolfgang Dahmen, and 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, and
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,
and L. L. Schumaker, Eds.), A K Peters, Wellesley, Massachusetts, 1994, 141-156.
Abstract
Biorthogonal Wavelets and Multigrid
- Stephan Dahlke and Angela Kunoth
in: Proceedings of the 9th GAMM-Seminar "Adaptive Methods: Algorithms, Theory and
Applications" (W. Hackbusch and 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, and Ilona Weinreich
Numer. Funct. Anal. Optim. 16(1&2) (1995), 19-41.
Abstract
Wavelet Bases Adapted to Pseudo-Differential Operators
- Stephan Dahlke and Ilona Weinreich
Appl. Comp. Harmon. Anal. 1(3) (1994), 267-283.
Abstract
Wavelet-Galerkin Methods: An Adapted Biorthogonal Wavelet Basis
- Stephan Dahlke and Ilona Weinreich
Constr. Approx. 9 (1993), 237-262.
Abstract
Invariante Mannigfaltigkeiten für Produkte zufälliger Diffeomorphismen
-Stephan Dahlke
Dissertation, University of Bremen, 1989, 1-106.
Software Documentations
The
IGPM Villemoes Machine
- Arne Barinka, Stephan Dahlke, and Nicole Mulders
IGPM-Report 184, RWTH Aachen, 2000.
Lecture Notes
Wavelets: Grundlagen und Anwendungen
- Stephan Dahlke
WE-Heraeus Summer School in Physics: "Mathematical Methods and
Computer Algebra in Physics", Martin-Luther-Universität
Halle-Wittenberg, Germany, September 14 - September 25, 1998.
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