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Dahmen, Wolfgang A.

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Author ID: dahmen.wolfgang-a Recent zbMATH articles by "Dahmen, Wolfgang A."
Published as: Dahmen, Wolfgang; Dahmen, W.; Dahmen, Wolfgang A.; Dahmen, W. A.
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Documents Indexed: 205 Publications since 1974, including 7 Books
Biographic References: 1 Publication
all top 5

Co-Authors

28 single-authored
49 Micchelli, Charles A.
31 DeVore, Ronald A.
29 Cohen, Albert
20 Schneider, Reinhold
15 Kunoth, Angela
9 Binev, Peter G.
8 Marquardt, Wolfgang
8 Müller, Siegfried
8 Prössdorf, Siegfried
8 Urban, Karsten
7 Dahlke, Stephan
6 Bachmayr, Markus
5 Binder, Thomas
5 Blank, Luise
5 Brix, Kolja
5 Welper, Gerrit
4 Braess, Dietrich
4 Campos Pinto, Martin
4 Cavaretta, Alfred S. jun.
4 Görlich, Ernst
4 Petrushev, Pencho P.
4 Schwab, Christoph
4 Smith, Philip W.
3 Barinka, Arne
3 Canuto, Claudio
3 Carnicer, Jésus Miguel
3 Kleemann, Bernd H.
3 Stevenson, Rob P.
2 Daubechies, Ingrid Chantal
2 Dekel, Shai
2 Deolmi, Giulia
2 Gasca, Mariano
2 Goodman, Timothy N. T.
2 Gotzen, Thomas
2 Grasedyck, Lars
2 Hackbusch, Wolfgang
2 Harbrecht, Helmut
2 Huang, Chunyan
2 Kutyniok, Gitta
2 Lim, Wang-Q
2 Mula, Olga
2 Petrova, Guergana
2 Reusken, Arnold
2 Scherer, Karl
2 Schlinkmann, Thomas
2 Wojtaszczyk, Przemyslaw
1 Albers, Marian
1 Alimov, Alexey R.
1 Barron, Andrew Roger
1 Barsch, Titus
1 Berdysheva, Elena E.
1 Bock, Hans Georg
1 Broersen, Dirk
1 Bulirsch, Roland Zdeněk
1 Butzer, Paul Leo
1 Charton, Philippe
1 DeVore, Ron
1 Diehl, Moritz Mathias
1 Dikshit, Hanuman Prasad
1 Dress, Andreas W. M.
1 Dyn, Nira
1 Elsner, Ludwig F.
1 Fadili, Jalal M.
1 Faermann, Birgit
1 Filbir, Frank-Dieter
1 Gottschlich-Müller, Birgit
1 Graham, Ivan G.
1 Griebel, Michael
1 Gruber, Felix
1 Han, Bin
1 Hochmuth, Reinhard
1 Jetter, Kurt
1 Jia, Rongqing
1 Jürgens, Markus
1 Klint, Torben
1 Krick, Teresa
1 Kronseder, Thomas
1 Lamby, Philipp
1 Latour, Vera
1 Massjung, Ralf
1 Melian, Sorana
1 Meysonnat, Pascal S.
1 Mhaskar, Hrushikesh N.
1 Nevai, Paul G.
1 Oswald, Peter
1 Peña, Juan Manuel
1 Plesken, Christian
1 Ritter, Klaus
1 Rohwedder, Thorsten
1 Sauer, Tomas
1 Sauter, Stefan A.
1 Schlöder, Johannes P.
1 Schmitt, Eberhard
1 Schröder, Wolfgang Armin
1 Schumaker, Larry L.
1 Seidel, Hans-Peter
1 Shi, Xiquan
1 Sommer, Manfred
1 Strauss, Hans
1 Süli, Endre E.
...and 15 more Co-Authors
all top 5

Serials

14 SIAM Journal on Numerical Analysis
12 Numerische Mathematik
10 Constructive Approximation
8 Mathematics of Computation
6 Journal of Computational and Applied Mathematics
6 Computer Aided Geometric Design
5 Journal of Approximation Theory
5 Foundations of Computational Mathematics
5 Oberwolfach Reports
4 SIAM Journal on Mathematical Analysis
4 Applied and Computational Harmonic Analysis
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Mathematische Nachrichten
3 Transactions of the American Mathematical Society
3 Advances in Computational Mathematics
2 IMA Journal of Numerical Analysis
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 The Annals of Statistics
2 Journal of Optimization Theory and Applications
2 Mathematische Zeitschrift
2 Numerical Functional Analysis and Optimization
2 Approximation Theory and its Applications
2 Linear Algebra and its Applications
2 SIAM Journal on Scientific Computing
1 Computers and Fluids
1 International Journal for Numerical Methods in Fluids
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
1 Journal of the Australian Mathematical Society, Series B
1 Journal of Mathematical Analysis and Applications
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Rocky Mountain Journal of Mathematics
1 Studia Mathematica
1 Advances in Mathematics
1 Computing
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 SIAM Journal on Control and Optimization
1 Studia Scientiarum Mathematicarum Hungarica
1 Advances in Applied Mathematics
1 Applied Numerical Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Revista Matemática Iberoamericana
1 Journal of the American Mathematical Society
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Numerical Algorithms
1 Bulletin of the American Mathematical Society. New Series
1 East-West Journal of Numerical Mathematics
1 ETNA. Electronic Transactions on Numerical Analysis
1 Serdica Mathematical Journal
1 The Journal of Fourier Analysis and Applications
1 Computational Methods in Applied Mathematics
1 Journal of Machine Learning Research (JMLR)
1 Journal of Hyperbolic Differential Equations
1 Bulletin of the American Mathematical Society
1 NATO ASI Series. Series C. Mathematical and Physical Sciences
1 Lecture Notes in Computational Science and Engineering
1 Communications in Computational Physics
1 SIAM/ASA Journal on Uncertainty Quantification
1 Springer-Lehrbuch

Publications by Year

Citations contained in zbMATH Open

179 Publications have been cited 3,824 times in 2,307 Documents Cited by Year
Stationary subdivision. Zbl 0741.41009
Cavaretta, Alfred S.; Dahmen, Wolfgang; Micchelli, Charles A.
275
1991
Adaptive finite element methods with convergence rates. Zbl 1063.65120
Binev, Peter; Dahmen, Wolfgang; DeVore, Ronald
200
2004
Adaptive wavelet methods for elliptic operator equations: convergence rates. Zbl 0980.65130
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
163
2001
Compressed sensing and best \(k\)-term approximation. Zbl 1206.94008
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
153
2009
Wavelet and multiscale methods for operator equations. Zbl 0884.65106
Dahmen, Wolfgang
138
1997
Convergence rates for greedy algorithms in reduced basis methods. Zbl 1229.65193
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
105
2011
Multilevel preconditioning. Zbl 0757.65031
Dahmen, Wolfgang; Kunoth, Angela
97
1992
Adaptive wavelet methods. II: Beyond the elliptic case. Zbl 1025.65056
Cohen, A.; Dahmen, W.; DeVore, R.
91
2002
Biorthogonal spline wavelets on the interval – stability and moment conditions. Zbl 0922.42021
Dahmen, Wolfgang; Kunoth, Angela; Urban, Karsten
88
1999
Translates of multivariate splines. Zbl 0522.41009
Dahmen, Wolfgang; Micchelli, Charles A.
78
1983
Compression techniques for boundary integral equations. Asymptotically optimal complexity estimates. Zbl 1113.65114
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
74
2006
Wavelets on manifolds. I: Construction and domain decomposition. Zbl 0955.42025
Dahmen, Wolfgang; Schneider, Reinhold
71
1999
Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution. Zbl 0826.65093
Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold
65
1993
Composite wavelet bases for operator equations. Zbl 0932.65148
Dahmen, Wolfgang; Schneider, Reinhold
59
1999
Using the refinement equation for evaluating integrals of wavelets. Zbl 0773.65006
Dahmen, Wolfgang; Micchelli, Charles A.
58
1993
Local decomposition of refinable spaces and wavelets. Zbl 0859.42025
Carnicer, J. M.; Dahmen, W.; Peña, J. M.
56
1996
Stability of multiscale transformations. Zbl 0919.46006
Dahmen, Wolfgang
55
1996
Biorthogonal wavelet expansions. Zbl 0882.65148
Dahmen, W.; Micchelli, C. A.
50
1997
On the local linear independence of translates of a box spline. Zbl 0545.41018
Dahmen, Wolfgang; Micchelli, Charles A.
47
1985
Biorthogonal multiwavelets on the interval: Cubic Hermite splines. Zbl 0952.42018
Dahmen, W.; Han, B.; Jia, R.-Q.; Kunoth, A.
46
2000
Approximation and learning by greedy algorithms. Zbl 1138.62019
Barron, Andrew R.; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.
45
2008
Adaptivity and variational stabilization for convection-diffusion equations. Zbl 1270.65065
Cohen, Albert; Dahmen, Wolfgang; Welper, Gerrit
45
2012
Harmonic analysis of the space BV. Zbl 1044.42028
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
43
2003
Adaptive Petrov-Galerkin methods for first order transport equations. Zbl 1260.65091
Dahmen, Wolfgang; Huang, Chunyan; Schwab, Christoph; Welper, Gerrit
41
2012
Wavelet approximation methods for pseudodifferential equations. I: Stability and convergence. Zbl 0794.65082
Dahmen, Wolfgang; Prössdorf, Siegfried; Schneider, R.
40
1994
Tree approximation and optimal encoding. Zbl 0992.65151
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
40
2001
Wavelet methods for PDEs – some recent developments. Zbl 0974.65101
Dahmen, Wolfgang
39
2001
Element-by-element construction of wavelets satisfying stability and moment conditions. Zbl 0942.65130
Dahmen, Wolfgang; Stevenson, Rob
37
1999
Multi-dimensional spline approximation. Zbl 0437.41010
Dahmen, W.; De Vore, R.; Scherer, K.
35
1980
Stable multiscale bases and local error estimation for elliptic problems. Zbl 0872.65098
Dahlke, Stephan; Dahmen, Wolfgang; Hochmuth, Reinhard; Schneider, Reinhold
35
1997
Wavelets with complementary boundary conditions – functions spaces on the cube. Zbl 0931.46006
Dahmen, Wolfgang; Schneider, Reinhold
34
1998
On the solution of certain systems of partial difference equations and linear dependence of translates of box splines. Zbl 0637.41012
Dahmen, Wolfgang; Micchelli, Charles A.
34
1985
On multivariate B-splines. Zbl 0425.41015
Dahmen, Wolfgang
33
1980
A multigrid algorithm for the mortar finite element method. Zbl 0942.65139
Braess, Dietrich; Dahmen, Wolfgang; Wieners, Christian
32
1999
Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. Zbl 1050.65110
Dahmen, W.; Faermann, B.; Graham, I. G.; Hackbusch, W.; Sauter, S. A.
32
2004
Adaptive wavelet schemes for nonlinear variational problems. Zbl 1057.65031
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
31
2003
Recent progress in multivariate splines. Zbl 0559.41011
Dahmen, Wolfgang; Micchelli, Charles A.
30
1983
Double greedy algorithms: reduced basis methods for transport dominated problems. Zbl 1291.65339
Dahmen, Wolfgang; Plesken, Christian; Welper, Gerrit
29
2014
Blossoming begets \(B\)-spline bases built better by \(B\)-patches. Zbl 0757.41014
Dahmen, Wolfgang; Micchelli, Charles A.; Seidel, Hans-Peter
28
1992
Convexity of multivariate Bernstein polynomials and box spline surfaces. Zbl 0689.41013
Dahmen, Wolfgang; Micchelli, Charles A.
27
1988
On multivariate E-splines. Zbl 0706.41010
Dahmen, Wolfgang; Micchelli, Charles A.
27
1989
Adaptive wavelet methods for saddle point problems – optimal convergence rates. Zbl 1024.65101
Dahlke, Stephan; Dahmen, Wolfgang; Urban, Karsten
26
2002
Compactly supported fundamental functions for spline interpolation. Zbl 0646.65012
Dahmen, Wolfgang; Goodman, T. N. T.; Micchelli, Charles A.
26
1988
Nonlinear functionals of wavelet expansions – adaptive reconstruction and fast evaluation. Zbl 0962.65118
Dahmen, Wolfgang; Schneider, Reinhold; Xu, Yuesheng
25
2000
Adaptive wavelet schemes for elliptic problems–implementation and numerical experiments. Zbl 1016.65090
Barinka, Arne; Barsch, Titus; Charton, Philippe; Cohen, Albert; Dahlke, Stephan; Dahmen, Wolfgang; Urban, Karsten
25
2001
Subdivision algorithms for the generation of box spline surfaces. Zbl 0581.65011
Dahmen, Wolfgang; Micchelli, Charles A.
25
1984
The number of solutions to linear diophantine equations and multivariate splines. Zbl 0655.10013
Dahmen, Wolfgang; Micchelli, Charles A.
25
1988
Multiresolution schemes for conservation laws. Zbl 1001.65104
Dahmen, Wolfgang; Gottschlich-Müller, Birgit; Müller, Siegfried
25
2001
A cascadic multigrid algorithm for the Stokes equations. Zbl 0929.65125
Braess, Dietrich; Dahmen, Wolfgang
24
1999
Multiscale decompositions on bounded domains. Zbl 0945.42018
Cohen, A.; Dahmen, W.; DeVore, R.
23
2000
Multiscale methods for pseudo-differential equations on smooth closed manifolds. Zbl 0847.65081
Dahmen, Wolfgang; Prößdorf, Siegfried; Schneider, Reinhold
23
1994
Adaptive near-optimal rank tensor approximation for high-dimensional operator equations. Zbl 1335.65049
Bachmayr, Markus; Dahmen, Wolfgang
23
2015
Approximation classes for adaptive methods. Zbl 1039.42030
Binev, P.; Dahmen, W.; DeVore, R.; Petrushev, P.
22
2002
A wavelet Galerkin method for the Stokes equations. Zbl 0849.65077
Dahmen, W.; Kunoth, A.; Urban, K.
22
1996
Stability estimates of the mortar finite element method for 3-dimensional problems. Zbl 0922.65072
Braess, Dietrich; Dahmen, Wolfgang
21
1998
On the approximation order from certain multivariate spline spaces. Zbl 0558.41013
Dahmen, Wolfgang; Micchelli, Charles A.
21
1984
Data assimilation in reduced modeling. Zbl 06736493
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
21
2017
Adaptive methods for boundary integral equations: complexity and convergence estimates. Zbl 1129.65090
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
20
2007
Multiresolution analysis and wavelets on \(S^ 2\) and \(S^ 3\). Zbl 0849.42020
Dahlke, Stephan; Dahmen, Wolfgang; Weinreich, Ilona; Schmitt, Eberhard
20
1995
On the linear independence of multivariate B-splines. I. Triangulations of simploids. Zbl 0498.41004
Dahmen, Wolfgang A.; Micchelli, Charles A.
20
1982
Universal algorithms for learning theory. I: Piecewise constant functions. Zbl 1191.62068
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.; Temlyakov, Vladimir N.
18
2005
Tensor-sparsity of solutions to high-dimensional elliptic partial differential equations. Zbl 1365.65243
Dahmen, Wolfgang; DeVore, Ronald; Grasedyck, Lars; Süli, Endre
18
2016
Adaptive wavelet methods –basic concepts and applications to the Stokes problem. Zbl 1028.65127
Dahmen, Wolfgang; Urban, Karsten; Vorloeper, Jürgen
17
2002
Banded matrices with banded inverses. II: Locally finite decomposition of spline spaces. Zbl 0784.15005
Dahmen, Wolfgang; Micchelli, Charles A.
16
1993
Sparse evaluation of compositions of functions using multiscale expansions. Zbl 1054.42024
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
16
2003
Introduction to model based optimization of chemical processes on moving horizons. Zbl 0999.93017
Binder, Thomas; Blank, Luise; Bock, H. Georg; Bulirsch, Roland; Dahmen, Wolfgang; Diehl, Moritz; Kronseder, Thomas; Marquardt, Wolfgang; Schlöder, Johannes P.; von Stryk, Oskar
16
2001
Convexity preserving interpolation and Powell-Sabin elements. Zbl 0760.65005
Carnicer, Jésus Miguel; Dahmen, Wolfgang
15
1992
Smooth refinable functions and wavelets obtained by convolution products. Zbl 0810.42020
Dahlke, Stephan; Dahmen, Wolfgang; Latour, Vera
14
1995
Continuous refinement equations and subdivision. Zbl 0824.65144
Dahmen, Wolfgang; Micchelli, Charles A.
13
1993
Adaptive wavelet methods for linear-quadratic elliptic control problems: Convergence rates. Zbl 1081.65063
Dahmen, Wolfgang; Kunoth, Angela
13
2005
Multiscale analysis, approximation, and interpolation spaces. Zbl 0932.46025
Dahmen, Wolfgang
12
1995
Subdivision algorithms converge quadratically. Zbl 0596.65003
Dahmen, Wolfgang
12
1986
Some remarks on ridge functions. Zbl 0645.41004
Dahmen, Wolfgang; Micchelli, Charles A.
12
1987
A factorization theorem for banded matrices. Zbl 0467.15005
Cavaretta, A. S. jun.; Dahmen, W. A.; Micchelli, C. A.; Smith, P. W.
11
1981
On the linear independence of multivariate B-splines. II: Complete configurations. Zbl 0525.41012
Dahmen, Wolfgang A.; Micchelli, Charles A.
11
1983
On the stability of DPG formulations of transport equations. Zbl 1383.65102
Broersen, D.; Dahmen, W.; Stevenson, R. P.
11
2018
Universal algorithms for learning theory. II: Piecewise polynomial functions. Zbl 1191.62067
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
10
2007
Wavelets in numerical analysis and their quantitative properties. Zbl 0937.65146
Dahmen, Wolfgang; Kunoth, Angela; Urban, Karsten
10
1997
\(C^ 1\)-hierarchical bases. Zbl 0805.65047
Dahmen, Wolfgang; Oswald, Peter; Shi, Xiquan
10
1994
Wavelet least squares methods for boundary value problems. Zbl 1013.65124
Dahmen, Wolfgang; Kunoth, Angela; Schneider, Reinhold
10
2002
Statistical encounters with B-splines. Zbl 0615.62021
Dahmen, Wolfgang; Micchelli, Charles A.
10
1986
On the optimal approximation rates for criss-cross finite element spaces. Zbl 0538.41018
Dahmen, Wolfgang; Micchelli, Charles A.
10
1984
A multilevel preconditioner for the interior penalty discontinuous Galerkin method. Zbl 1176.65029
Brix, Kolja; Campos Pinto, Martin; Dahmen, Wolfgang
10
2008
Approximation of high-dimensional rank one tensors. Zbl 1308.41015
Bachmayr, Markus; Dahmen, Wolfgang; DeVore, Ronald; Grasedyck, Lars
10
2014
Adaptive low-rank methods: problems on Sobolev spaces. Zbl 1336.41009
Bachmayr, Markus; Dahmen, Wolfgang
10
2016
Convexity and Bernstein-Bézier polynomials. Zbl 0735.41005
Dahmen, Wolfgang
9
1991
Multiscale and wavelet methods for operator equations. Zbl 1036.65095
Dahmen, Wolfgang
9
2003
Decomposition of refinable spaces and applications to operator equations. Zbl 0790.65098
Dahmen, Wolfgang
9
1993
Characterization of local strict convexity preserving interpolation methods by \(C^ 1\) functions. Zbl 0817.41009
Carnicer, J. M.; Dahmen, Wolfgang
9
1994
Some remarks on multiscale transformations, stability, and biorthogonality. Zbl 0815.65070
Dahmen, Wolfgang
9
1994
On limits of multivariate B-splines. Zbl 0473.41007
Dahmen, Wolfgang; Micchelli, Charles A.
9
1981
On the solvability of certain systems of linear difference equations. Zbl 0482.15011
Cavaretta, A. S. jun.; Dahmen, W.; Micchelli, C. A.; Smith, P. W.
9
1981
On the convergence rates of subdivision algorithms for box spline surfaces. Zbl 0629.41008
Dahmen, Wolfgang; Dyn, Nira; Levin, David
9
1985
Orthogonal matching pursuit under the restricted isometry property. Zbl 1379.94014
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
9
2017
Fast computation of adaptive wavelet expansions. Zbl 1144.65091
Barinka, A.; Dahmen, W.; Schneider, R.
8
2007
Adaptive eigenvalue computation: Complexity estimates. Zbl 1157.65029
Dahmen, Wolfgang; Rohwedder, Thorsten; Schneider, Reinhold; Zeiser, Andreas
8
2008
Two-level-split decomposition of anisotropic Besov spaces. Zbl 1195.46030
Dahmen, Wolfgang; Dekel, Shai; Petrushev, Pencho
8
2010
Convexity and Bernstein polynomials on \(k\)-simploids. Zbl 0805.41004
Dahmen, Wolfgang; Micchelli, Charles A.
7
1990
Multilevel preconditioning for partition of unity methods: some analytic concepts. Zbl 1129.65092
Dahmen, Wolfgang; Dekel, Shai; Petrushev, Pencho
7
2007
Local dimension of piecewise polynomial spaces, syzygies, and solutions of systems of partial differential equations. Zbl 0722.41042
Dahmen, Wolfgang; Micchelli, Charles A.
7
1990
Reduced basis greedy selection using random training sets. Zbl 1444.62113
Cohen, Albert; Dahmen, Wolfgang; Devore, Ronald; Nichols, James
3
2020
An adaptive nested source term iteration for radiative transfer equations. Zbl 1437.65183
Dahmen, Wolfgang; Gruber, Felix; Mula, Olga
1
2020
Adaptive strategies for transport equations. Zbl 1420.65109
Dahmen, Wolfgang; Stevenson, Rob P.
2
2019
On the stability of DPG formulations of transport equations. Zbl 1383.65102
Broersen, D.; Dahmen, W.; Stevenson, R. P.
11
2018
Parametric PDEs: sparse or low-rank approximations? Zbl 06983859
Bachmayr, Markus; Cohen, Albert; Dahmen, Wolfgang
7
2018
Adaptive anisotropic Petrov-Galerkin methods for first order transport equations. Zbl 1435.65197
Dahmen, Wolfgang; Kutyniok, Gitta; Lim, Wang-Q; Schwab, Christoph; Welper, Gerrit
3
2018
Effective boundary conditions for turbulent compressible flows over a riblet surface. Zbl 1405.76015
Deolmi, G.; Dahmen, W.; Müller, S.; Albers, M.; Meysonnat, P. S.; Schröder, W.
1
2018
Data assimilation in reduced modeling. Zbl 06736493
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
21
2017
Orthogonal matching pursuit under the restricted isometry property. Zbl 1379.94014
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
9
2017
Tensor-sparsity of solutions to high-dimensional elliptic partial differential equations. Zbl 1365.65243
Dahmen, Wolfgang; DeVore, Ronald; Grasedyck, Lars; Süli, Endre
18
2016
Adaptive low-rank methods: problems on Sobolev spaces. Zbl 1336.41009
Bachmayr, Markus; Dahmen, Wolfgang
10
2016
Adaptive low-rank methods for problems on Sobolev spaces with error control in \(\mathrm{L}_{2}\). Zbl 1347.41031
Bachmayr, M.; Dahmen, W.
7
2016
Adaptive near-optimal rank tensor approximation for high-dimensional operator equations. Zbl 1335.65049
Bachmayr, Markus; Dahmen, Wolfgang
23
2015
How to best sample a solution manifold? Zbl 1336.65188
Dahmen, Wolfgang
7
2015
Multilevel preconditioning of discontinuous Galerkin spectral element methods. I: Geometrically conforming meshes. Zbl 1353.65119
Brix, Kolja; Campos Pinto, Martin; Canuto, Claudio; Dahmen, Wolfgang
7
2015
Effective boundary conditions for compressible flows over rough boundaries. Zbl 1321.74059
Deolmi, Giulia; Dahmen, Wolfgang; Müller, Siegfried
2
2015
Nested dyadic grids associated with Legendre-Gauss-Lobatto grids. Zbl 1331.33014
Brix, Kolja; Canuto, Claudio; Dahmen, Wolfgang
2
2015
In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021
Alimov, Alexey; Berdysheva, Elena; Butzer, Paul; zu Castell, Wolfgang; Dahmen, Wolfgang; DeVore, Ron; Filbir, Frank; Jetter, Kurt; Mhaskar, Hrushikesh; Nevai, Paul; Sauer, Tomas; Schumaker, Larry; Sommer, Manfred; Strauss, Hans; Xu, Yuan
1
2015
Double greedy algorithms: reduced basis methods for transport dominated problems. Zbl 1291.65339
Dahmen, Wolfgang; Plesken, Christian; Welper, Gerrit
29
2014
Approximation of high-dimensional rank one tensors. Zbl 1308.41015
Bachmayr, Markus; Dahmen, Wolfgang; DeVore, Ronald; Grasedyck, Lars
10
2014
Efficient resolution of anisotropic structures. Zbl 1317.65251
Dahmen, Wolfgang; Huang, Chunyan; Kutyniok, Gitta; Lim, Wang-Q; Schwab, Christoph; Welper, Gerrit
7
2014
Classification algorithms using adaptive partitioning. Zbl 1310.62074
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; Devore, Ronald
4
2014
Robust preconditioners for DG-discretizations with arbitrary polynomial degrees. Zbl 1382.65378
Brix, Kolja; Canuto, Claudio; Dahmen, Wolfgang
1
2014
Numerical simulation of cooling gas injection using adaptive multiresolution techniques. Zbl 1365.76148
Dahmen, Wolfgang; Gotzen, Thomas; Melian, Sorana; Müller, Siegfried
1
2013
Adaptivity and variational stabilization for convection-diffusion equations. Zbl 1270.65065
Cohen, Albert; Dahmen, Wolfgang; Welper, Gerrit
45
2012
Adaptive Petrov-Galerkin methods for first order transport equations. Zbl 1260.65091
Dahmen, Wolfgang; Huang, Chunyan; Schwab, Christoph; Welper, Gerrit
41
2012
Convergence rates for greedy algorithms in reduced basis methods. Zbl 1229.65193
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
105
2011
Fast high-dimensional approximation with sparse occupancy trees. Zbl 1209.65018
Binev, Peter; Dahmen, Wolfgang; Lamby, Philipp
3
2011
Yves Meyer – winner of the Gauß prize 2010. (Yves Meyer – Träger des Gauß-Preises 2010.) Zbl 1227.01031
Dahmen, Wolfgang
1
2011
Two-level-split decomposition of anisotropic Besov spaces. Zbl 1195.46030
Dahmen, Wolfgang; Dekel, Shai; Petrushev, Pencho
8
2010
Instance optimal decoding by thresholding in compressed sensing. Zbl 1202.94117
Cohen, Albert; Dahmen, Wolfgang; De Vore, Ronald
2
2010
Compressed sensing and best \(k\)-term approximation. Zbl 1206.94008
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
153
2009
Multilevel preconditioners for the interior penalty discontinuous Galerkin method. II: Quantitative studies. Zbl 1364.65072
Brix, Kolja; Pinto, Martin Campos; Dahmen, Wolfgang; Massjung, Ralf
4
2009
Approximation and learning by greedy algorithms. Zbl 1138.62019
Barron, Andrew R.; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.
45
2008
A multilevel preconditioner for the interior penalty discontinuous Galerkin method. Zbl 1176.65029
Brix, Kolja; Campos Pinto, Martin; Dahmen, Wolfgang
10
2008
Adaptive eigenvalue computation: Complexity estimates. Zbl 1157.65029
Dahmen, Wolfgang; Rohwedder, Thorsten; Schneider, Reinhold; Zeiser, Andreas
8
2008
Numerical analysis for engineers and natural scientists. 2nd revised ed. (Numerik für Ingenieure und Naturwissenschaftler.) Zbl 1153.65002
Dahmen, Wolfgang; Reusken, Arnold
1
2008
Adaptive methods for boundary integral equations: complexity and convergence estimates. Zbl 1129.65090
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
20
2007
Universal algorithms for learning theory. II: Piecewise polynomial functions. Zbl 1191.62067
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
10
2007
Fast computation of adaptive wavelet expansions. Zbl 1144.65091
Barinka, A.; Dahmen, W.; Schneider, R.
8
2007
Multilevel preconditioning for partition of unity methods: some analytic concepts. Zbl 1129.65092
Dahmen, Wolfgang; Dekel, Shai; Petrushev, Pencho
7
2007
Compression techniques for boundary integral equations. Asymptotically optimal complexity estimates. Zbl 1113.65114
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
74
2006
Adaptive application of operators in standard representation. Zbl 1101.65111
Barinka, Arne; Dahlke, Stephan; Dahmen, Wolfgang
5
2006
“Push-the-Error” algorithm for nonlinear \(n\)-term approximation. Zbl 1106.41023
Dahmen, W.; Petrushev, P.
1
2006
Error controlled regularization by projection. Zbl 1118.47057
Dahmen, Wolfgang; Jürgens, Markus
1
2006
Numerical analysis for engineers and natural scientists. (Numerik für Ingenieure und Naturwissenschaftler.) Zbl 1102.65002
Dahmen, Wolfgang; Reusken, Arnold
1
2006
Universal algorithms for learning theory. I: Piecewise constant functions. Zbl 1191.62068
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.; Temlyakov, Vladimir N.
18
2005
Adaptive wavelet methods for linear-quadratic elliptic control problems: Convergence rates. Zbl 1081.65063
Dahmen, Wolfgang; Kunoth, Angela
13
2005
Riemann problem for the Euler equation with non-convex equation of state including phase transitions. Zbl 1088.76061
Dahmen, Wolfgang; Müller, Siegfried; Voß, Alexander
6
2005
Adaptive finite element methods with convergence rates. Zbl 1063.65120
Binev, Peter; Dahmen, Wolfgang; DeVore, Ronald
200
2004
Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. Zbl 1050.65110
Dahmen, W.; Faermann, B.; Graham, I. G.; Hackbusch, W.; Sauter, S. A.
32
2004
Harmonic analysis of the space BV. Zbl 1044.42028
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
43
2003
Adaptive wavelet schemes for nonlinear variational problems. Zbl 1057.65031
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
31
2003
Sparse evaluation of compositions of functions using multiscale expansions. Zbl 1054.42024
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
16
2003
Multiscale and wavelet methods for operator equations. Zbl 1036.65095
Dahmen, Wolfgang
9
2003
On fictitious domain formulations for Maxwell’s equations. Zbl 1023.78009
Dahmen, Wolfgang; Klint, Torben; Urban, Karsten
1
2003
Adaptive wavelet methods. II: Beyond the elliptic case. Zbl 1025.65056
Cohen, A.; Dahmen, W.; DeVore, R.
91
2002
Adaptive wavelet methods for saddle point problems – optimal convergence rates. Zbl 1024.65101
Dahlke, Stephan; Dahmen, Wolfgang; Urban, Karsten
26
2002
Approximation classes for adaptive methods. Zbl 1039.42030
Binev, P.; Dahmen, W.; DeVore, R.; Petrushev, P.
22
2002
Adaptive wavelet methods –basic concepts and applications to the Stokes problem. Zbl 1028.65127
Dahmen, Wolfgang; Urban, Karsten; Vorloeper, Jürgen
17
2002
Wavelet least squares methods for boundary value problems. Zbl 1013.65124
Dahmen, Wolfgang; Kunoth, Angela; Schneider, Reinhold
10
2002
The mortar element method revisited. What are the right norms? Zbl 1026.65095
Braess, D.; Dahmen, W.
6
2002
Adaptive wavelet methods for elliptic operator equations: convergence rates. Zbl 0980.65130
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
163
2001
Tree approximation and optimal encoding. Zbl 0992.65151
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
40
2001
Wavelet methods for PDEs – some recent developments. Zbl 0974.65101
Dahmen, Wolfgang
39
2001
Adaptive wavelet schemes for elliptic problems–implementation and numerical experiments. Zbl 1016.65090
Barinka, Arne; Barsch, Titus; Charton, Philippe; Cohen, Albert; Dahlke, Stephan; Dahmen, Wolfgang; Urban, Karsten
25
2001
Multiresolution schemes for conservation laws. Zbl 1001.65104
Dahmen, Wolfgang; Gottschlich-Müller, Birgit; Müller, Siegfried
25
2001
Introduction to model based optimization of chemical processes on moving horizons. Zbl 0999.93017
Binder, Thomas; Blank, Luise; Bock, H. Georg; Bulirsch, Roland; Dahmen, Wolfgang; Diehl, Moritz; Kronseder, Thomas; Marquardt, Wolfgang; Schlöder, Johannes P.; von Stryk, Oskar
16
2001
Appending boundary conditions by Lagrange multipliers: Analysis of the LBB condition. Zbl 0996.65122
Dahmen, Wolfgang; Kunoth, Angela
7
2001
Iterative algorithms for multiscale state estimation. I: Concepts. Zbl 1001.93076
Binder, T.; Blank, L.; Dahmen, W.; Marquardt, W.
3
2001
On an adaptive multigrid solver for convection-dominated problems. Zbl 1004.65114
Dahmen, Wolfgang; Müller, Siegfried; Schlinkmann, Thomas
2
2001
Multiscale concepts for moving horizon optimization. Zbl 0999.65056
Binder, Thomas; Blank, Luise; Dahmen, Wolfgang; Marquardt, Wolfgang
1
2001
Iterative algorithms for multiscale state estimation. II: Numerical investigations. Zbl 1002.93059
Binder, T.; Blank, L.; Dahmen, W.; Marquardt, W.
1
2001
Biorthogonal multiwavelets on the interval: Cubic Hermite splines. Zbl 0952.42018
Dahmen, W.; Han, B.; Jia, R.-Q.; Kunoth, A.
46
2000
Nonlinear functionals of wavelet expansions – adaptive reconstruction and fast evaluation. Zbl 0962.65118
Dahmen, Wolfgang; Schneider, Reinhold; Xu, Yuesheng
25
2000
Multiscale decompositions on bounded domains. Zbl 0945.42018
Cohen, A.; Dahmen, W.; DeVore, R.
23
2000
On Wachspress quadrilateral patches. Zbl 0951.68162
Dahmen, W.; Dikshit, H. P.; Ojha, A.
7
2000
Biorthogonal spline wavelets on the interval – stability and moment conditions. Zbl 0922.42021
Dahmen, Wolfgang; Kunoth, Angela; Urban, Karsten
88
1999
Wavelets on manifolds. I: Construction and domain decomposition. Zbl 0955.42025
Dahmen, Wolfgang; Schneider, Reinhold
71
1999
Composite wavelet bases for operator equations. Zbl 0932.65148
Dahmen, Wolfgang; Schneider, Reinhold
59
1999
Element-by-element construction of wavelets satisfying stability and moment conditions. Zbl 0942.65130
Dahmen, Wolfgang; Stevenson, Rob
37
1999
A multigrid algorithm for the mortar finite element method. Zbl 0942.65139
Braess, Dietrich; Dahmen, Wolfgang; Wieners, Christian
32
1999
A cascadic multigrid algorithm for the Stokes equations. Zbl 0929.65125
Braess, Dietrich; Dahmen, Wolfgang
24
1999
Wavelets with complementary boundary conditions – functions spaces on the cube. Zbl 0931.46006
Dahmen, Wolfgang; Schneider, Reinhold
34
1998
Stability estimates of the mortar finite element method for 3-dimensional problems. Zbl 0922.65072
Braess, Dietrich; Dahmen, Wolfgang
21
1998
Multigrid and multiscale decompositions. Zbl 0912.65100
Dahmen, Wolfgang; Müller, Siegfried; Schlinkmann, Thomas
2
1998
\(B\)-splines in analysis, algebra and applications. Zbl 0942.41003
Dahmen, Wolfgang
1
1998
Wavelet and multiscale methods for operator equations. Zbl 0884.65106
Dahmen, Wolfgang
138
1997
Biorthogonal wavelet expansions. Zbl 0882.65148
Dahmen, W.; Micchelli, C. A.
50
1997
Stable multiscale bases and local error estimation for elliptic problems. Zbl 0872.65098
Dahlke, Stephan; Dahmen, Wolfgang; Hochmuth, Reinhard; Schneider, Reinhold
35
1997
Wavelets in numerical analysis and their quantitative properties. Zbl 0937.65146
Dahmen, Wolfgang; Kunoth, Angela; Urban, Karsten
10
1997
Multiscale methods for the solution of the Helmholtz and Laplace equations. Zbl 0884.65110
Dahmen, W.; Kleemann, B.; Prößdorf, Siegfried; Schneider, R.
2
1997
Local decomposition of refinable spaces and wavelets. Zbl 0859.42025
Carnicer, J. M.; Dahmen, W.; Peña, J. M.
56
1996
Stability of multiscale transformations. Zbl 0919.46006
Dahmen, Wolfgang
55
1996
A wavelet Galerkin method for the Stokes equations. Zbl 0849.65077
Dahmen, W.; Kunoth, A.; Urban, K.
22
1996
On multivariate splines, matroids, and the ext-functor. Zbl 0908.41004
Dahmen, Wolfgang; Dress, Andreas; Micchelli, Charles A.
3
1996
Operator equations, multiscale concepts and complexity. Zbl 0856.65157
Dahmen, Wolfgang; Kunoth, Angela; Schneider, Reinhold
2
1996
Multiscale methods for pseudodifferential equations. Zbl 0900.65316
Dahmen, W.; Kleemann, B.; Prößdorf, Siegfried; Schneider, R.
1
1996
Multiresolution analysis and wavelets on \(S^ 2\) and \(S^ 3\). Zbl 0849.42020
Dahlke, Stephan; Dahmen, Wolfgang; Weinreich, Ilona; Schmitt, Eberhard
20
1995
Smooth refinable functions and wavelets obtained by convolution products. Zbl 0810.42020
Dahlke, Stephan; Dahmen, Wolfgang; Latour, Vera
14
1995
...and 79 more Documents
all top 5

Cited by 2,562 Authors

71 Dahmen, Wolfgang A.
39 Harbrecht, Helmut
39 Stevenson, Rob P.
36 Micchelli, Charles A.
34 Dahlke, Stephan
34 Schwab, Christoph
29 Carstensen, Carsten
29 Praetorius, Dirk
27 Cohen, Albert
27 DeVore, Ronald A.
24 Schneider, Reinhold
21 Conti, Costanza
20 Ron, Amos
19 Chui, Charles Kam-tai
19 Dyn, Nira
19 Urban, Karsten
17 Amat, Sergio P.
16 Charina, Maria
16 Fornasier, Massimo
15 Canuto, Claudio
15 Demkowicz, Leszek F.
15 Grohs, Philipp
15 Li, Song
15 Xu, Yuesheng
14 Černá, Dana
14 Griebel, Michael
14 Kunoth, Angela
14 Maday, Yvon
14 Verani, Marco
13 Bacuta, Constantin
13 Goodman, Timothy N. T.
13 Han, Bin
13 Oswald, Peter
13 Romani, Lucia
13 Sun, Qiyu
13 Wohlmuth, Barbara I.
12 Chen, Dirong
12 de Boor, Carl
12 Finěk, Václav
12 Hackbusch, Wolfgang
12 Jia, Rong-Qing
12 Jiang, Qingtang
12 Liandrat, Jacques
12 Müller, Siegfried
12 Nochetto, Ricardo Horacio
12 Shen, Zuowei
11 Börm, Steffen
11 Lai, Mingjun
11 Protasov, Vladimir Yu.
11 Vergne, Michèle
11 Wojtaszczyk, Przemyslaw
11 Zhou, Dingxuan
10 Bertoluzza, Silvia
10 Daubechies, Ingrid Chantal
10 Feischl, Michael
10 Hoppe, Ronald H. W.
10 Mehra, Mani
10 Melenk, Jens Markus
10 Petrova, Guergana
10 Raasch, Thorsten
10 Rauhut, Holger
10 Rozza, Gianluigi
10 Sauer, Tomas
9 Bachmayr, Markus
9 Chen, Zhongying
9 Kutyniok, Gitta
9 Sauer, Thomas
9 Sbibih, Driss
9 Vybíral, Jan
9 Xiao, Jinyou
9 Xu, Jinchao
9 Yoon, Jungho
8 Abdulle, Assyr
8 Buffa, Annalisa
8 Chen, Peng
8 Chen, Yanlai
8 Dekel, Shai
8 Eppler, Karsten
8 Führer, Thomas
8 Xu, Xuejun
8 Ye, Peixin
8 Zhou, Xinlong
7 Floater, Michael S.
7 Foucart, Simon
7 Gallistl, Dietmar
7 Goyal, Kavita
7 Haberl, Alexander
7 Hansen, Anders C.
7 Iwen, Mark A.
7 Jetter, Kurt
7 Khoromskij, Boris N.
7 Lakestani, Mehrdad
7 Lyche, Tom
7 Manni, Carla
7 Moncayo, María
7 Morawiec, Janusz
7 Mula, Olga
7 Narayan, Akil C.
7 Neamtu, Marian
7 Novak, Erich
...and 2,462 more Authors
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Cited in 337 Serials

127 Journal of Computational and Applied Mathematics
99 Applied and Computational Harmonic Analysis
96 Mathematics of Computation
96 Journal of Approximation Theory
86 Numerische Mathematik
81 Advances in Computational Mathematics
73 Computer Aided Geometric Design
64 Constructive Approximation
61 Computer Methods in Applied Mechanics and Engineering
57 Computers & Mathematics with Applications
54 Journal of Computational Physics
54 Applied Numerical Mathematics
52 Applied Mathematics and Computation
48 Journal of Scientific Computing
40 SIAM Journal on Numerical Analysis
37 SIAM Journal on Scientific Computing
37 The Journal of Fourier Analysis and Applications
33 Numerical Algorithms
32 Journal of Mathematical Analysis and Applications
31 Linear Algebra and its Applications
28 Foundations of Computational Mathematics
28 International Journal of Wavelets, Multiresolution and Information Processing
27 Journal of Complexity
25 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
23 Proceedings of the American Mathematical Society
22 Engineering Analysis with Boundary Elements
21 BIT
21 Computing
21 Transactions of the American Mathematical Society
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 Numerical Functional Analysis and Optimization
14 Numerical Methods for Partial Differential Equations
13 Journal of Integral Equations and Applications
13 Science in China. Series A
12 Results in Mathematics
11 International Journal of Computer Mathematics
11 Acta Mathematica Sinica. English Series
11 Science China. Mathematics
10 Applicable Analysis
10 Journal of Functional Analysis
10 Mathematics and Computers in Simulation
10 Computational Mechanics
10 Numerical Linear Algebra with Applications
10 Computational Methods in Applied Mathematics
9 International Journal for Numerical Methods in Engineering
9 Applied Mathematics Letters
9 Abstract and Applied Analysis
9 SIAM/ASA Journal on Uncertainty Quantification
8 Computers and Fluids
8 Mathematical Notes
8 The Annals of Statistics
8 Mathematical Problems in Engineering
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Journal of Numerical Mathematics
7 Journal of Mathematical Physics
7 Mathematical Methods in the Applied Sciences
7 Mathematische Nachrichten
7 Applied Mathematics. Series B (English Edition)
7 Computing and Visualization in Science
6 Calcolo
6 Journal of Optimization Theory and Applications
6 Mathematische Zeitschrift
6 Acta Applicandae Mathematicae
6 Mathematical Programming. Series A. Series B
6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
6 Electronic Journal of Statistics
5 Discrete Applied Mathematics
5 Inverse Problems
5 Journal of Multivariate Analysis
5 SIAM Journal on Mathematical Analysis
5 Communications in Numerical Methods in Engineering
5 St. Petersburg Mathematical Journal
5 Transformation Groups
5 Analysis and Applications (Singapore)
5 Acta Numerica
4 Journal of the Franklin Institute
4 Rocky Mountain Journal of Mathematics
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Theoretical Computer Science
4 RAIRO. Modélisation Mathématique et Analyse Numérique
4 Acta Mathematicae Applicatae Sinica. English Series
4 SIAM Journal on Matrix Analysis and Applications
4 Applied Mathematical Modelling
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 SIAM Review
4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4 Computational Optimization and Applications
4 Archives of Computational Methods in Engineering
4 Multiscale Modeling & Simulation
4 GAMM-Mitteilungen
3 Analysis Mathematica
3 Communications on Pure and Applied Mathematics
3 Journal d’Analyse Mathématique
3 Advances in Mathematics
3 Automatica
3 Integral Equations and Operator Theory
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Zeitschrift für Analysis und ihre Anwendungen
3 Bulletin of the Iranian Mathematical Society
3 COMPEL
...and 237 more Serials
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Cited in 61 Fields

1,515 Numerical analysis (65-XX)
555 Approximations and expansions (41-XX)
514 Partial differential equations (35-XX)
415 Harmonic analysis on Euclidean spaces (42-XX)
174 Information and communication theory, circuits (94-XX)
130 Functional analysis (46-XX)
128 Computer science (68-XX)
124 Fluid mechanics (76-XX)
93 Statistics (62-XX)
91 Linear and multilinear algebra; matrix theory (15-XX)
83 Operator theory (47-XX)
79 Operations research, mathematical programming (90-XX)
77 Mechanics of deformable solids (74-XX)
76 Probability theory and stochastic processes (60-XX)
71 Calculus of variations and optimal control; optimization (49-XX)
54 Integral equations (45-XX)
41 Optics, electromagnetic theory (78-XX)
38 Real functions (26-XX)
37 Combinatorics (05-XX)
36 Difference and functional equations (39-XX)
31 Ordinary differential equations (34-XX)
29 Convex and discrete geometry (52-XX)
24 Systems theory; control (93-XX)
23 Biology and other natural sciences (92-XX)
21 Number theory (11-XX)
19 Commutative algebra (13-XX)
18 Dynamical systems and ergodic theory (37-XX)
18 Quantum theory (81-XX)
17 Geophysics (86-XX)
16 Global analysis, analysis on manifolds (58-XX)
15 Measure and integration (28-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Special functions (33-XX)
11 Differential geometry (53-XX)
10 Algebraic geometry (14-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Potential theory (31-XX)
9 Geometry (51-XX)
9 Statistical mechanics, structure of matter (82-XX)
7 Functions of a complex variable (30-XX)
6 General and overarching topics; collections (00-XX)
6 Topological groups, Lie groups (22-XX)
6 Abstract harmonic analysis (43-XX)
6 Integral transforms, operational calculus (44-XX)
5 Associative rings and algebras (16-XX)
5 \(K\)-theory (19-XX)
4 Mechanics of particles and systems (70-XX)
3 History and biography (01-XX)
3 Several complex variables and analytic spaces (32-XX)
3 General topology (54-XX)
2 Field theory and polynomials (12-XX)
2 Nonassociative rings and algebras (17-XX)
2 Group theory and generalizations (20-XX)
2 Sequences, series, summability (40-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
2 Mathematics education (97-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Category theory; homological algebra (18-XX)
1 Astronomy and astrophysics (85-XX)

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