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Schwab, Christoph

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Author ID: schwab.christoph Recent zbMATH articles by "Schwab, Christoph"
Published as: Schwab, C.; Schwab, CH.; Schwab, Ch.; Schwab, Christoph
Homepage: https://www.math.ethz.ch/sam/the-institute/people/christoph-schwab.html
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 291 Publications since 1985, including 7 Books
all top 5

Co-Authors

14 single-authored
23 Schötzau, Dominik
15 Matache, Ana-Maria
11 Herrmann, Lukas
11 Mishra, Siddhartha
10 Gerdes, Klaus
10 Kuo, Frances Y.
10 Wendland, Wolfgang L.
9 Melenk, Jens Markus
9 von Petersdorff, Tobias
8 Dick, Josef
8 Wihler, Thomas Pascal
8 Zech, Jakob
7 Chernov, Alexey
7 Cohen, Albert
7 Feistauer, Miloslav
7 Le Gia, Quoc Thong
7 Schneider, Reinhold
7 Sloan, Ian Hugh
7 Süli, Endre E.
6 Gantner, Robert Nicholas
6 Hiptmair, Ralf
6 Lage, Christian
6 Reichmann, Oleg
6 Sauter, Stefan A.
6 Stevenson, Rob P.
6 Šukys, Jonas
6 Suri, Manil
6 Todor, Radu Alexandru
5 Babuška, Ivo
5 Gittelson, Claude Jeffrey
5 Hoang, Viet Ha
5 Schillings, Claudia
5 Toselli, Andrea
4 Andreev, Roman
4 Barth, Andrea
4 Dahmen, Wolfgang A.
4 Harbrecht, Helmut
4 Houston, Paul
4 Jerez-Hanckes, Carlos
4 Kazeev, Vladimir A.
4 Lang, Annika
4 Müller, Fabian Lukas
4 Risebro, Nils Henrik
4 Winter, Christoph
3 Bieri, Marcel
3 Buffa, Annalisa
3 Chen, Peng
3 Chkifa, Abdellah
3 DeVore, Ronald A.
3 Dolejší, Vít
3 Hilber, Norbert
3 Reich, Nils
3 Schmidlin, Gregor
3 Schulz, Heiko
3 Tokareva, Svetlana A.
3 Weber, Franziska
3 Welper, Gerrit
2 Abdulle, Assyr
2 Beuchler, Sven
2 Braess, Dietrich
2 Cockburn, Bernardo
2 Costabel, Martin
2 Dauge, Monique
2 Demkowicz, Leszek F.
2 Dinh Dũng
2 Eigel, Martin
2 Feischl, Michael
2 Frauenfelder, Philipp
2 Grella, Konstantin
2 Hackbusch, Wolfgang
2 Hansen, Markus
2 Huang, Chunyan
2 Humphrey, Jay D.
2 Kozlov, Vladimir A.
2 Kunoth, Angela
2 Kutyniok, Gitta
2 Lim, Wang-Q
2 Maz’ya, Vladimir Gilelevich
2 Pentenrieder, Bastian
2 Scheichl, Robert
2 Stenberg, Rolf
2 Sterz, Oliver
2 Stuart, Andrew M.
2 Xanthis, Leonidas Spyridon
2 Zander, Elmar K.
1 Actis, Ricardo L.
1 Andjelic, Zoran
1 Aylwin, Rubén
1 Bachmayr, Markus
1 Bajer, Anetta M.
1 Banjai, Lehel
1 Barrett, John W.
1 Başar, Yavuz
1 Bijl, Hester
1 Brandsmeier, Holger
1 Castillo, Paul E.
1 Dahlke, Stephan
1 Devaud, Denis
1 D’Harcourt, J. M.
1 Dijkema, Tammo Jan
...and 71 more Co-Authors
all top 5

Serials

23 Numerische Mathematik
23 SIAM Journal on Numerical Analysis
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 Computer Methods in Applied Mechanics and Engineering
12 Mathematics of Computation
10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Journal of Computational Physics
7 SIAM Journal on Scientific Computing
6 IMA Journal of Numerical Analysis
5 Inverse Problems
5 SIAM Journal on Mathematical Analysis
5 Foundations of Computational Mathematics
5 Analysis and Applications (Singapore)
5 SIAM/ASA Journal on Uncertainty Quantification
4 Computers & Mathematics with Applications
4 BIT
4 Calcolo
4 Computing
4 Journal of Computational and Applied Mathematics
4 Applied Numerical Mathematics
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 Advances in Computational Mathematics
3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
3 The ANZIAM Journal
3 Multiscale Modeling & Simulation
3 Lecture Notes in Computational Science and Engineering
3 Stochastic and Partial Differential Equations. Analysis and Computations
2 Mathematical Methods in the Applied Sciences
2 International Journal for Numerical Methods in Engineering
2 Mathematische Nachrichten
2 Numerical Methods for Partial Differential Equations
2 Journal of Elasticity
2 Comptes Rendus de l’Académie des Sciences. Série I
2 East-West Journal of Numerical Mathematics
2 Finance and Stochastics
2 Computing and Visualization in Science
2 Oberwolfach Reports
1 Archive for Rational Mechanics and Analysis
1 International Journal of Solids and Structures
1 Journal of Approximation Theory
1 Journal für die Reine und Angewandte Mathematik
1 Mathematics and Computers in Simulation
1 SIAM Journal on Control and Optimization
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Constructive Approximation
1 Computational Mechanics
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of Scientific Computing
1 Mathematica Bohemica
1 The Annals of Applied Probability
1 Applications of Mathematics
1 Numerical Algorithms
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Linear Algebra and its Applications
1 Mathematical Modelling and Scientific Computing
1 Engineering Analysis with Boundary Elements
1 Journal of Geodesy
1 Vietnam Journal of Mathematics
1 Journal of Mathematical Fluid Mechanics
1 Quantitative Finance
1 Computational Methods in Applied Mathematics
1 Journal of Hyperbolic Differential Equations
1 Acta Numerica
1 Springer Series in Computational Mathematics
1 Springer Finance
1 Numerical Mathematics and Scientific Computation

Publications by Year

Citations contained in zbMATH Open

271 Publications have been cited 5,793 times in 3,023 Documents Cited by Year
\(p\)- and \(hp\)-finite element methods. Theory and applications in solid and fluid mechanics. Zbl 0910.73003
Schwab, Ch.
353
1998
Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067
Houston, Paul; Schwab, Christoph; Süli, Endre
195
2002
Boundary element methods. Zbl 1215.65183
Sauter, Stefan A.; Schwab, Christoph
180
2011
Finite elements for elliptic problems with stochastic coefficients. Zbl 1143.65392
Frauenfelder, Philipp; Schwab, Christoph; Todor, Radu Alexandru
130
2005
Karhunen-Loève approximation of random fields by generalized fast multipole methods. Zbl 1104.65008
Schwab, Christoph; Todor, Radu Alexandru
128
2006
Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDE’s. Zbl 1219.35379
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
125
2011
Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs. Zbl 1206.60064
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
117
2010
Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients. Zbl 1230.65006
Barth, Andrea; Schwab, Christoph; Zollinger, Nathaniel
111
2011
Local discontinuous Galerkin methods for the Stokes system. Zbl 1032.65127
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik; Schwab, Christoph
104
2002
Optimal a priori error estimates for the \(hp\)-version of the local discontinuous Galerkin method for convection-diffusion problems. Zbl 0997.65111
Castillo, Paul; Cockburn, Bernardo; Schötzau, Dominik; Schwab, Christoph
98
2002
Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients. Zbl 1120.65004
Todor, Radu Alexandru; Schwab, Christoph
94
2007
Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs. Zbl 1269.65010
Schwab, Christoph; Gittelson, Claude Jeffrey
93
2011
Time discretization of parabolic problems by the \(hp\)-version of the discontinuous Galerkin finite element method. Zbl 0978.65091
Schötzau, Dominik; Schwab, Christoph
93
2000
Quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficients. Zbl 1271.65017
Kuo, Frances Y.; Schwab, Christoph; Sloan, Ian H.
73
2012
The \(p\) and \(hp\) versions of the finite element method for problems with boundary layers. Zbl 0853.65115
Schwab, Christoph; Suri, Manil
70
1996
Mixed hp-DGFEM for incompressible flows. Zbl 1055.76032
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea
68
2003
Tensor-structured Galerkin approximation of parametric and stochastic elliptic PDEs. Zbl 1243.65009
Khoromskij, Boris N.; Schwab, Christoph
65
2011
Space-time adaptive wavelet methods for parabolic evolution problems. Zbl 1198.65249
Schwab, Christoph; Stevenson, Rob
64
2009
Sparse finite elements for elliptic problems with stochastic loading. Zbl 1044.65085
Schwab, Christoph; Todor, Radu-Alexandru
60
2003
An \(hp\) a priori error analysis of the DG time-stepping for initial value problems. Zbl 1012.65084
Schötzau, Dominik; Schwab, Christoph
56
2000
On numerical cubatures of singular surface integrals in boundary element methods. Zbl 0761.65012
Schwab, Christoph; Wendland, Wolfgang L.
56
1992
High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs. Zbl 1298.65022
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
55
2014
Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs. Zbl 1327.65251
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
54
2015
Sparse high order FEM for elliptic sPDEs. Zbl 1157.65481
Bieri, Marcel; Schwab, Christoph
52
2009
Wavelet approximations for first kind boundary integral equations on polygons. Zbl 0863.65074
von Petersdorff, Tobias; Schwab, Christoph
50
1996
Stabilized \(hp\)-finite element methods for first-order hyperbolic problems. Zbl 0957.65103
Houston, Paul; Schwab, Christoph; Süli, Endre
46
2000
Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data. Zbl 1271.65018
Mishra, Siddhartha; Schwab, Christoph
45
2012
Sparse second moment analysis for elliptic problems in stochastic domains. Zbl 1146.65007
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
45
2008
Boundary element methods for Maxwell transmission problems in Lipschitz domains. Zbl 1071.65160
Buffa, Annalisa; Hiptmair, Ralf; von Petersdorff, Tobias; Schwab, Christoph
45
2003
Sparse, adaptive Smolyak quadratures for Bayesian inverse problems. Zbl 1278.65008
Schillings, Claudia; Schwab, Christoph
44
2013
Numerical solution of parabolic equations in high dimensions. Zbl 1083.65095
von Petersdorff, Tobias; Schwab, Christoph
44
2004
Fast deterministic pricing of options on Lévy driven assets. Zbl 1072.60052
Matache, Ana-Maria; von Petersdorff, Tobias; Schwab, Christoph
44
2004
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients. Zbl 1341.65003
Graham, I. G.; Kuo, F. Y.; Nichols, J. A.; Scheichl, R.; Schwab, Ch.; Sloan, I. H.
43
2015
Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations. Zbl 1328.60126
Lang, Annika; Schwab, Christoph
42
2015
Adaptive stochastic Galerkin FEM. Zbl 1296.65157
Eigel, Martin; Gittelson, Claude Jeffrey; Schwab, Christoph; Zander, Elmar
42
2014
Wavelet Galerkin pricing of American options on Lévy driven assets. Zbl 1134.91450
Matache, Ana-Maria; Nitsche, Pál-Andrej; Schwab, Christoph
41
2005
Adaptive Petrov-Galerkin methods for first order transport equations. Zbl 1260.65091
Dahmen, Wolfgang; Huang, Chunyan; Schwab, Christoph; Welper, Gerrit
40
2012
Sparse finite elements for stochastic elliptic problems — higher order moments. Zbl 1044.65006
Schwab, Ch.; Todor, R. A.
40
2003
Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions. Zbl 1402.76083
Mishra, S.; Schwab, Ch.; Šukys, J.
39
2012
Wavelet Galerkin algorithms for boundary integral equations. Zbl 0943.65134
Lage, Christian; Schwab, Christoph
39
1999
An adaptive wavelet method for solving high-dimensional elliptic PDEs. Zbl 1205.65313
Dijkema, Tammo Jan; Schwab, Christoph; Stevenson, Rob
38
2009
Sparse deterministic approximation of Bayesian inverse problems. Zbl 1236.62014
Schwab, C.; Stuart, A. M.
37
2012
High-dimensional finite elements for elliptic problems with multiple scales. Zbl 1074.65135
Viet Ha Hoang; Schwab, Christoph
37
2005
A posteriori modeling error estimation for hierarchic plate models. Zbl 0856.73031
Schwab, Christoph
37
1996
Kernel properties and representations of boundary integral operators. Zbl 0805.35168
Schwab, Christoph; Wendland, Wolfgang L.
37
1992
Higher order QMC Petrov-Galerkin discretization for affine parametric operator equations with random field inputs. Zbl 1326.65013
Dick, Josef; Kuo, Frances Y.; Le Gia, Quoc T.; Nuyens, Dirk; Schwab, Christoph
36
2014
Sparse tensor discretization of elliptic SPDEs. Zbl 1205.35346
Bieri, Marcel; Andreev, Roman; Schwab, Christoph
36
2009
\(hp\)-discontinuous Galerkin time stepping for parabolic problems. Zbl 0992.65103
Werder, T.; Gerdes, K.; Schötzau, Dominik; Schwab, Christoph
36
2001
Multi-level quasi-Monte Carlo finite element methods for a class of elliptic PDEs with random coefficients. Zbl 1318.65006
Kuo, Frances Y.; Schwab, Christoph; Sloan, Ian H.
35
2015
Existence of global weak solutions for some polymeric flow models. Zbl 1161.76453
Barrett, John W.; Schwab, Christoph; Süli, Endre
35
2005
Fully discrete \(hp\)-finite elements: Fast quadrature. Zbl 0985.65141
Melenk, J. M.; Gerdes, K.; Schwab, Ch.
35
2001
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
33
2013
Sparse finite element methods for operator equations with stochastic data. Zbl 1164.65300
von Petersdorff, Tobias; Schwab, Christoph
33
2006
Exponential convergence of \(hp\)-FEM for Maxwell equations with weighted regularization in polygonal domains. Zbl 1078.65089
Costabel, Martin; Dauge, Monique; Schwab, Christoph
33
2005
Boundary element methods for Maxwell’s equations on non-smooth domains. Zbl 1019.65094
Buffa, Annalisa; Costabel, Martin; Schwab, Christoph
33
2002
The \(hp\) finite element method for problems in mechanics with boundary layers. Zbl 0959.74073
Schwab, Christoph; Suri, Manil; Xenophontos, C.
33
1998
Fast numerical solution of parabolic integro-differential equations with applications in finance. Zbl 1098.65123
Matache, Ana-Maria; Schwab, Christoph; Wihler, Thomas P.
31
2005
Complexity analysis of accelerated MCMC methods for Bayesian inversion. Zbl 1288.65004
Hoang, Viet Ha; Schwab, Christoph; Stuart, Andrew M.
30
2013
Quasi-Monte Carlo methods for high-dimensional integration: the standard (weighted Hilbert space) setting and beyond. Zbl 1248.65001
Kuo, F. Y.; Schwab, Ch.; Sloan, I. H.
30
2011
\(hp\) FEM for reaction-diffusion equations. I: Robust exponential convergence. Zbl 0972.65093
Melenk, Jens Markus; Schwab, Christoph
29
1998
Multiwavelets for second-kind integral equations. Zbl 0891.65121
Von Petersdorff, Tobias; Schwab, Christoph; Schneider, Reinhold
29
1997
Heterogeneous multiscale FEM for diffusion problems on rough surfaces. Zbl 1160.65337
Abdulle, Assyr; Schwab, Christoph
28
2005
Locking effects in the finite element approximation of plate models. Zbl 0827.73063
Suri, Manil; Babuška, Ivo; Schwab, Christoph
28
1995
Variable order composite quadrature of singular and nearly singular integrals. Zbl 0813.65057
Schwab, Christoph
28
1994
A finite volume discontinuous Galerkin scheme for nonlinear convection-diffusion problems. Zbl 1098.65095
Dolejší, Vít; Feistauer, Miloslav; Schwab, Christoph
27
2002
\(hp\)-dGFEM for second order elliptic problems in polyhedra. II: Exponential convergence. Zbl 1457.65215
Schötzau, D.; Schwab, Ch.; Wihler, T. P.
25
2013
Multilevel Monte Carlo method for parabolic stochastic partial differential equations. Zbl 1272.65009
Barth, Andrea; Lang, Annika; Schwab, Christoph
25
2013
Multilevel frames for sparse tensor product spaces. Zbl 1151.65010
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
25
2008
Natural boundary element methods for the electric field integral equation on polyhedra. Zbl 1010.78014
Hiptmair, Ralf; Schwab, Christoph
25
2002
Multilevel quasi-Monte Carlo methods for lognormal diffusion problems. Zbl 1368.65005
Kuo, Frances Y.; Scheichl, Robert; Schwab, Christoph; Sloan, Ian H.; Ullmann, Elisabeth
24
2017
Computational methods for quantitative finance. Finite element methods for derivative pricing. Zbl 1275.91005
Hilber, Norbert; Reichmann, Oleg; Schwab, Christoph; Winter, Christoph
24
2013
Hierarchic models for laminated plates and shells. Zbl 0959.74061
Actis, Ricardo L.; Szabo, Barna A.; Schwab, Christoph
24
1999
Quadrature for \(hp\)-Galerkin BEM in \(\mathbb{R}^3\). Zbl 0901.65069
Sauter, Stefan A.; Schwab, Christoph
24
1997
Two-scale FEM for homogenization problems. Zbl 1070.65572
Matache, Ana-Maria; Schwab, Christoph
23
2002
Multilevel higher-order quasi-Monte Carlo Bayesian estimation. Zbl 1375.65169
Dick, Josef; Gantner, Robert N.; Le Gia, Quoc T.; Schwab, Christoph
22
2017
Analytic regularity of Stokes flow on polygonal domains in countably weighted Sobolev spaces. Zbl 1121.35098
Guo, Benqi; Schwab, Christoph
22
2006
Fourier mode analysis of layers in shallow shell deformations. Zbl 0983.74039
Pitkäranta, Juhani; Matache, Ana-Maria; Schwab, Christoph
22
2001
Multilevel higher order QMC Petrov-Galerkin discretization for affine parametric operator equations. Zbl 1347.65012
Dick, Josef; Kuo, Frances Y.; Le Gia, Quoc T.; Schwab, Christoph
21
2016
Sparsity in Bayesian inversion of parametric operator equations. Zbl 1291.65033
Schillings, Claudia; Schwab, Christoph
21
2014
\(hp\)-dGFEM for second-order elliptic problems in polyhedra I: Stability on geometric meshes. Zbl 1276.65084
Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas Pascal
21
2013
Exponential convergence of \(hp\) quadrature for integral operators with Gevrey kernels. Zbl 1269.65143
Chernov, Alexey; Von Petersdorff, Tobias; Schwab, Christoph
21
2011
Generalized \(p\)-FEM in homogenization. Zbl 0964.65125
Matache, Ana-Maria; Babuška, Ivo; Schwab, Christoph
21
2000
A posteriori error estimation for hierarchic models of elliptic boundary value problems on thin domains. Zbl 0846.65056
Babuška, Ivo; Schwab, Christoph
21
1996
Boundary elements methods. Analysis, numerics and implementation of fast algorithms. Zbl 1059.65108
Sauter, Stefan; Schwab, Christoph
20
2004
On some aspects of the discontinuous Galerkin finite element method for conservation laws. Zbl 1013.65108
Dolejší, Vít; Feistauer, Miloslav; Schwab, Christoph
20
2003
\(N\)-term Wiener chaos approximation rates for elliptic PDEs with lognormal Gaussian random inputs. Zbl 1294.65010
Hoang, Viet Ha; Schwab, Christoph
19
2014
\(hp\)-DGFEM for partial differential equations with nonnegative characteristic form. Zbl 0946.65102
Süli, Endre; Schwab, Christoph; Houston, Paul
19
2000
Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations. Zbl 1358.65034
Rauhut, Holger; Schwab, Christoph
18
2017
A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes. Zbl 1335.65006
Eigel, Martin; Gittelson, Claude Jeffrey; Schwab, Christoph; Zander, Elmar
18
2015
First-order \(k\)-th moment finite element analysis of nonlinear operator equations with stochastic data. Zbl 1281.65008
Chernov, Alexey; Schwab, Christoph
18
2013
Numerical methods for Lévy processes. Zbl 1195.91175
Hilber, N.; Reich, N.; Schwab, C.; Winter, C.
18
2009
Adaptive wavelet algorithms for elliptic PDE’s on product domains. Zbl 1127.41009
Schwab, Christoph; Stevenson, Rob
18
2008
The optimal \(p\)-version approximation of singularities on polyhedra in the boundary element method. Zbl 0854.65108
Schwab, Christoph; Suri, Manil
18
1996
Analytic regularity and GPC approximation for control problems constrained by linear parametric elliptic and parabolic PDEs. Zbl 1278.49043
Kunoth, Angela; Schwab, Christoph
17
2013
Exponential convergence of the \(hp\)-DGFEM for diffusion problems. Zbl 1059.65095
Wihler, Thomas P.; Frauenfelder, Philipp; Schwab, Christoph
17
2003
HP90: A general and flexible Fortran 90 \(hp\)-FE code. Zbl 0912.68014
Demkowicz, L.; Gerdes, K.; Schwab, C.; Bajer, A.; Walsh, T.
17
1998
Higher order quasi-Monte Carlo integration for holomorphic, parametric operator equations. Zbl 1398.65031
Dick, Josef; Le Gia, Quoc T.; Schwab, Christoph
16
2016
Computational higher order quasi-Monte Carlo integration. Zbl 1356.65003
Gantner, Robert N.; Schwab, Christoph
16
2016
Sparse-grid, reduced-basis Bayesian inversion: nonaffine-parametric nonlinear equations. Zbl 1349.62076
Chen, Peng; Schwab, Christoph
16
2016
Sparse finite element approximation of high-dimensional transport-dominated diffusion problems. Zbl 1159.65094
Schwab, Christoph; Süli, Endre; Todor, Radu Alexandru
16
2008
Deep ReLU networks and high-order finite element methods. Zbl 1452.65354
Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph
3
2020
Domain uncertainty quantification in computational electromagnetics. Zbl 07193414
Aylwin, Ruben; Jerez-Hanckes, Carlos; Schwab, Christoph; Zech, Jakob
2
2020
Multilevel quasi-Monte Carlo uncertainty quantification for advection-diffusion-reaction. Zbl 07240088
Herrmann, Lukas; Schwab, Christoph
1
2020
Analytic regularity for the incompressible Navier-Stokes equations in polygons. Zbl 1447.35252
Marcati, Carlo; Schwab, Christoph
1
2020
Multilevel approximation of Gaussian random fields: fast simulation. Zbl 1448.60110
Herrmann, Lukas; Kirchner, Kristin; Schwab, Christoph
1
2020
Deep learning in high dimension: neural network expression rates for generalized polynomial chaos expansions in UQ. Zbl 07007693
Schwab, Christoph; Zech, Jakob
10
2019
Tensor FEM for spectral fractional diffusion. Zbl 1429.65272
Banjai, Lehel; Melenk, Jens M.; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.; Schwab, Christoph
6
2019
Multilevel quasi-Monte Carlo integration with product weights for elliptic PDEs with lognormal coefficients. Zbl 07135561
Herrmann, Lukas; Schwab, Christoph
5
2019
QMC integration for lognormal-parametric, elliptic PDEs: local supports and product weights. Zbl 07006664
Herrmann, Lukas; Schwab, Christoph
5
2019
Multilevel approximation of parametric and stochastic PDES. Zbl 1427.65386
Zech, Jakob; Dũng, Dinh; Schwab, Christoph
3
2019
Improved efficiency of a multi-index FEM for computational uncertainty quantification. Zbl 07100359
Dick, Josef; Feischl, Michael; Schwab, Christoph
2
2019
Higher order quasi-Monte Carlo integration for Bayesian PDE inversion. Zbl 1442.62051
Dick, Josef; Gantner, Robert N.; Le Gia, Quoc T.; Schwab, Christoph
1
2019
Uncertainty quantification for spectral fractional diffusion: sparsity analysis of parametric solutions. Zbl 07118417
Herrmann, Lukas; Schwab, Christoph; Zech, Jakob
1
2019
Large deformation shape uncertainty quantification in acoustic scattering. Zbl 1402.35321
Hiptmair, R.; Scarabosio, L.; Schillings, C.; Schwab, Ch.
11
2018
Quasi-Monte Carlo integration for affine-parametric, elliptic PDEs: local supports and product weights. Zbl 1378.65072
Gantner, Robert N.; Herrmann, Lukas; Schwab, Christoph
11
2018
Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions. Zbl 1382.65409
Kazeev, Vladimir; Schwab, Christoph
8
2018
Multilevel QMC with product weights for affine-parametric, elliptic PDEs. Zbl 1405.65008
Gantner, Robert N.; Herrmann, Lukas; Schwab, Christoph
7
2018
Shape holomorphy of the stationary Navier-Stokes equations. Zbl 1390.35227
Cohen, Albert; Schwab, Christoph; Zech, Jakob
7
2018
Numerical analysis of lognormal diffusions on the sphere. Zbl 1402.60062
Herrmann, Lukas; Lang, Annika; Schwab, Christoph
6
2018
QMC algorithms with product weights for lognormal-parametric, elliptic PDEs. Zbl 1422.65017
Herrmann, Lukas; Schwab, Christoph
3
2018
Space-time \(hp\)-approximation of parabolic equations. Zbl 1404.65118
Devaud, Denis; Schwab, Christoph
3
2018
Exponential convergence of \(hp\)-FEM for elliptic problems in polyhedra: mixed boundary conditions and anisotropic polynomial degrees. Zbl 1402.65166
Schötzau, Dominik; Schwab, Christoph
3
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
Multilevel quasi-Monte Carlo methods for lognormal diffusion problems. Zbl 1368.65005
Kuo, Frances Y.; Scheichl, Robert; Schwab, Christoph; Sloan, Ian H.; Ullmann, Elisabeth
24
2017
Multilevel higher-order quasi-Monte Carlo Bayesian estimation. Zbl 1375.65169
Dick, Josef; Gantner, Robert N.; Le Gia, Quoc T.; Schwab, Christoph
22
2017
Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations. Zbl 1358.65034
Rauhut, Holger; Schwab, Christoph
18
2017
Electromagnetic wave scattering by random surfaces: shape holomorphy. Zbl 1381.35170
Jerez-Hanckes, Carlos; Schwab, Christoph; Zech, Jakob
12
2017
Covariance regularity and \(\mathcal {H}\)-matrix approximation for rough random fields. Zbl 1362.65124
Dölz, J.; Harbrecht, H.; Schwab, Ch.
11
2017
Electromagnetic wave scattering by random surfaces: uncertainty quantification via sparse tensor boundary elements. Zbl 1433.78013
Jerez-Hanckes, Carlos; Schwab, Christoph
8
2017
A multilevel Monte Carlo finite difference method for random scalar degenerate convection-diffusion equations. Zbl 1373.35179
Koley, Ujjwal; Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska
7
2017
Fully discrete approximation of parametric and stochastic elliptic PDEs. Zbl 1377.65005
Bachmayr, Markus; Cohen, Albert; Dũng, Dinh; Schwab, Christoph
7
2017
Fractional space-time variational formulations of (Navier-) Stokes equations. Zbl 1375.35329
Schwab, Christoph; Stevenson, Rob
5
2017
Symmetric interior penalty discontinuous Galerkin methods for elliptic problems in polygons. Zbl 1376.65145
Müller, Fabian; Schötzau, Dominik; Schwab, Christoph
4
2017
QTT-finite-element approximation for multiscale problems. I: Model problems in one dimension. Zbl 1375.65152
Kazeev, Vladimir; Oseledets, Ivan; Rakhuba, Maxim; Schwab, Christoph
4
2017
Monte-Carlo finite-volume methods in uncertainty quantification for hyperbolic conservation laws. Zbl 1407.65150
Mishra, Siddhartha; Schwab, Christoph
3
2017
Multilevel higher order QMC Petrov-Galerkin discretization for affine parametric operator equations. Zbl 1347.65012
Dick, Josef; Kuo, Frances Y.; Le Gia, Quoc T.; Schwab, Christoph
21
2016
Higher order quasi-Monte Carlo integration for holomorphic, parametric operator equations. Zbl 1398.65031
Dick, Josef; Le Gia, Quoc T.; Schwab, Christoph
16
2016
Computational higher order quasi-Monte Carlo integration. Zbl 1356.65003
Gantner, Robert N.; Schwab, Christoph
16
2016
Sparse-grid, reduced-basis Bayesian inversion: nonaffine-parametric nonlinear equations. Zbl 1349.62076
Chen, Peng; Schwab, Christoph
16
2016
Scaling limits in computational Bayesian inversion. Zbl 1358.65013
Schillings, Claudia; Schwab, Christoph
15
2016
Multi-level Monte Carlo finite volume methods for uncertainty quantification of acoustic wave propagation in random heterogeneous layered medium. Zbl 1351.76117
Mishra, S.; Schwab, Ch.; Šukys, J.
11
2016
Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007
Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana
11
2016
\(hp\)-dGFEM for second-order mixed elliptic problems in polyhedra. Zbl 1332.65173
Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas P.
8
2016
Adaptive sparse grid model order reduction for fast Bayesian estimation and inversion. Zbl 1337.65012
Chen, Peng; Schwab, Christoph
7
2016
Sparse adaptive tensor Galerkin approximations of stochastic PDE-constrained control problems. Zbl 1398.65252
Kunoth, Angela; Schwab, Christoph
6
2016
Multilevel Monte Carlo front-tracking for random scalar conservation laws. Zbl 1350.65008
Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska
6
2016
Multilevel Monte Carlo simulation of statistical solutions to the Navier-Stokes equations. Zbl 1382.76209
Barth, Andrea; Schwab, Christoph; Šukys, Jonas
2
2016
Finite elements with mesh refinement for elastic wave propagation in polygons. Zbl 1457.65130
Müller, Fabian; Schwab, Christoph
2
2016
Numerical approximation of statistical solutions of planar, incompressible flows. Zbl 1416.76184
Leonardi, Filippo; Mishra, Siddhartha; Schwab, Christoph
1
2016
Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs. Zbl 1327.65251
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
54
2015
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients. Zbl 1341.65003
Graham, I. G.; Kuo, F. Y.; Nichols, J. A.; Scheichl, R.; Schwab, Ch.; Sloan, I. H.
43
2015
Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations. Zbl 1328.60126
Lang, Annika; Schwab, Christoph
42
2015
Multi-level quasi-Monte Carlo finite element methods for a class of elliptic PDEs with random coefficients. Zbl 1318.65006
Kuo, Frances Y.; Schwab, Christoph; Sloan, Ian H.
35
2015
A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes. Zbl 1335.65006
Eigel, Martin; Gittelson, Claude Jeffrey; Schwab, Christoph; Zander, Elmar
18
2015
Sparse-grid, reduced-basis Bayesian inversion. Zbl 1425.65020
Chen, Peng; Schwab, Christoph
15
2015
Tensor approximation of stationary distributions of chemical reaction networks. Zbl 1322.60155
Kazeev, Vladimir; Schwab, Christoph
7
2015
Finite elements with mesh refinement for wave equations in polygons. Zbl 1311.65126
Müller, Fabian L.; Schwab, Christoph
7
2015
Exponential convergence for \(hp\)-version and spectral finite element methods for elliptic problems in polyhedra. Zbl 1322.65099
Schötzau, Dominik; Schwab, Christoph
6
2015
Fast QMC matrix-vector multiplication. Zbl 1320.65008
Dick, Josef; Kuo, Frances Y.; Le Gia, Quoc T.; Schwab, Christoph
4
2015
Quadrature algorithms for high dimensional singular integrands on simplices. Zbl 1332.65035
Chernov, Alexey; von Petersdorff, Tobias; Schwab, Christoph
3
2015
Higher order quasi Monte-Carlo integration in uncertainty quantification. Zbl 1352.65017
Dick, Josef; Thong Le Gia, Quoc; Schwab, Christoph
1
2015
Exponential convergence of simplicial hp-FEM for \(H^1\)-functions with isotropic singularities. Zbl 1352.65548
Schwab, Christoph
1
2015
High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs. Zbl 1298.65022
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
55
2014
Adaptive stochastic Galerkin FEM. Zbl 1296.65157
Eigel, Martin; Gittelson, Claude Jeffrey; Schwab, Christoph; Zander, Elmar
42
2014
Higher order QMC Petrov-Galerkin discretization for affine parametric operator equations with random field inputs. Zbl 1326.65013
Dick, Josef; Kuo, Frances Y.; Le Gia, Quoc T.; Nuyens, Dirk; Schwab, Christoph
36
2014
Sparsity in Bayesian inversion of parametric operator equations. Zbl 1291.65033
Schillings, Claudia; Schwab, Christoph
21
2014
\(N\)-term Wiener chaos approximation rates for elliptic PDEs with lognormal Gaussian random inputs. Zbl 1294.65010
Hoang, Viet Ha; Schwab, Christoph
19
2014
Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz \(hp\)-dGFEM. Zbl 1295.31004
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph
15
2014
Efficient resolution of anisotropic structures. Zbl 1317.65251
Dahmen, Wolfgang; Huang, Chunyan; Kutyniok, Gitta; Lim, Wang-Q; Schwab, Christoph; Welper, Gerrit
7
2014
Space-time variational saddle point formulations of Stokes and Navier-Stokes equations. Zbl 1295.35354
Guberovic, Rafaela; Schwab, Christoph; Stevenson, Rob
7
2014
Exponential convergence of the \(hp\) version of isogeometric analysis in 1D. Zbl 1282.65090
Buffa, Annalisa; Sangalli, Giancarlo; Schwab, Christoph
7
2014
Multilevel Monte Carlo finite element methods for stochastic elliptic variational inequalities. Zbl 1320.65176
Kornhuber, Ralf; Schwab, Christoph; Wolf, Maren-Wanda
6
2014
Optimality of adaptive Galerkin methods for random parabolic partial differential equations. Zbl 1293.35372
Gittelson, Claude Jeffrey; Andreev, Roman; Schwab, Christoph
4
2014
High order SFV and mixed SDG/FV methods for the uncertainty quantification in multidimensional conservation laws. Zbl 1421.76164
Tokareva, Svetlana; Schwab, Christoph; Mishra, Siddhartha
3
2014
Sparse, adaptive Smolyak quadratures for Bayesian inverse problems. Zbl 1278.65008
Schillings, Claudia; Schwab, Christoph
44
2013
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
33
2013
Complexity analysis of accelerated MCMC methods for Bayesian inversion. Zbl 1288.65004
Hoang, Viet Ha; Schwab, Christoph; Stuart, Andrew M.
30
2013
\(hp\)-dGFEM for second order elliptic problems in polyhedra. II: Exponential convergence. Zbl 1457.65215
Schötzau, D.; Schwab, Ch.; Wihler, T. P.
25
2013
Multilevel Monte Carlo method for parabolic stochastic partial differential equations. Zbl 1272.65009
Barth, Andrea; Lang, Annika; Schwab, Christoph
25
2013
Computational methods for quantitative finance. Finite element methods for derivative pricing. Zbl 1275.91005
Hilber, Norbert; Reichmann, Oleg; Schwab, Christoph; Winter, Christoph
24
2013
\(hp\)-dGFEM for second-order elliptic problems in polyhedra I: Stability on geometric meshes. Zbl 1276.65084
Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas Pascal
21
2013
First-order \(k\)-th moment finite element analysis of nonlinear operator equations with stochastic data. Zbl 1281.65008
Chernov, Alexey; Schwab, Christoph
18
2013
Analytic regularity and GPC approximation for control problems constrained by linear parametric elliptic and parabolic PDEs. Zbl 1278.49043
Kunoth, Angela; Schwab, Christoph
17
2013
Sparse adaptive approximation of high dimensional parametric initial value problems. Zbl 1272.34012
Hansen, Markus; Schwab, Christoph
14
2013
Analytic regularity and polynomial approximation of stochastic, parametric elliptic multiscale PDEs. Zbl 1259.49059
Hoang, V. H.; Schwab, CH.
14
2013
Multilevel Monte Carlo methods for stochastic elliptic multiscale PDEs. Zbl 1296.65008
Abdulle, Assyr; Barth, Andrea; Schwab, Christoph
13
2013
High-order Galerkin approximations for parametric second-order elliptic partial differential equations. Zbl 1275.65081
Nistor, Victor; Schwab, Christoph
12
2013
Low-rank tensor structure of linear diffusion operators in the TT and QTT formats. Zbl 1281.15024
Kazeev, Vladimir; Reichmann, Oleg; Schwab, Christoph
11
2013
Multi-level Monte Carlo finite volume methods for uncertainty quantification in nonlinear systems of balance laws. Zbl 1276.76066
Mishra, Siddhartha; Schwab, Christoph; Šukys, Jonas
11
2013
Uncertainty quantification in computational fluid dynamics. Zbl 1276.76005
Bijl, Hester (ed.); Lucor, Didier (ed.); Mishra, Siddhartha (ed.); Schwab, Christoph (ed.)
11
2013
Sparse tensor Galerkin discretization of parametric and random parabolic PDEs—analytic regularity and generalized polynomial chaos approximation. Zbl 1285.35137
Hoang, Viet Ha; Schwab, Christoph
10
2013
Analytic regularity and nonlinear approximation of a class of parametric semilinear elliptic PDEs. Zbl 1273.35134
Hansen, Markus; Schwab, Christoph
10
2013
The multi-level Monte Carlo finite element method for a stochastic Brinkman problem. Zbl 1281.65010
Gittelson, Claude J.; Könnö, Juho; Schwab, Christoph; Stenberg, Rolf
8
2013
High order approximation of probabilistic shock profiles in hyperbolic conservation laws with uncertain initial data. Zbl 1266.65008
Schwab, Christoph; Tokareva, Svetlana
7
2013
QMC Galerkin discretization of parametric operator equations. Zbl 1302.65020
Schwab, Christoph
6
2013
Adaptive Galerkin approximation algorithms for Kolmogorov equations in infinite dimensions. Zbl 1286.35257
Schwab, Christoph; Süli, Endre
6
2013
Covariance structure of parabolic stochastic partial differential equations. Zbl 1306.60089
Lang, Annika; Larsson, Stig; Schwab, Christoph
4
2013
Multi-level Monte Carlo finite difference and finite volume methods for stochastic linear hyperbolic systems. Zbl 1302.65032
Šukys, Jonas; Mishra, Siddhartha; Schwab, Christoph
4
2013
Sparse space-time Galerkin BEM for the nonstationary heat equation. Zbl 1276.76046
Chernov, Alexey; Schwab, Christoph
4
2013
Correction to “Quasi-Monte Carlo methods for high-dimensional integration: the standard (weighted Hilbert space) setting and beyond”. Zbl 1311.65004
Kuo, F. Y.; Schwab, Ch.; Sloan, I. H.
2
2013
...and 171 more Documents
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Cited by 3,690 Authors

143 Schwab, Christoph
48 Harbrecht, Helmut
35 Hiptmair, Ralf
32 Praetorius, Dirk
31 Nobile, Fabio
30 Schötzau, Dominik
29 Demkowicz, Leszek F.
27 Tempone, Raúl F.
26 Melenk, Jens Markus
24 Cockburn, Bernardo
24 Sauter, Stefan A.
23 Abdulle, Assyr
23 Dolejší, Vít
22 Wihler, Thomas Pascal
22 Xenophontos, Christos A.
21 Houston, Paul
21 Stevenson, Rob P.
20 Scheichl, Robert
19 Chernov, Alexey
19 Cohen, Albert
19 Kuo, Frances Y.
19 Schneider, Reinhold
18 Baccouch, Mahboub
18 Dick, Josef
18 Feistauer, Miloslav
18 Nouy, Anthony
18 Süli, Endre E.
18 Yi, Lijun
17 Bespalov, Alexei
17 Nicaise, Serge
17 Perugia, Ilaria
17 Sloan, Ian Hugh
17 Wheeler, Mary Fanett
16 Ainsworth, Mark
16 Feischl, Michael
16 Giani, Stefano
16 Karniadakis, George Em
15 Dahmen, Wolfgang A.
15 Khoromskij, Boris N.
15 Mishra, Siddhartha
15 Peters, Michael D.
15 Stephan, Ernst Peter
14 Buffa, Annalisa
14 Chung, Tsz Shun Eric
14 Düster, Alexander
14 Heuer, Norbert
14 Li, Jichun
14 Marzouk, Youssef M.
14 Rank, Ernst
14 Steinbach, Olaf
13 Antonietti, Paola Francesca
13 Graham, Ivan G.
13 Griebel, Michael
13 Hoang, Viet Ha
13 Shu, Chi-Wang
13 Zhang, Qiang
12 Chen, Peng
12 Dutt, Pravir Kumar
12 Goda, Takashi
12 Hakula, Harri
12 Karkulik, Michael
12 Schmidt, Kersten
12 Urban, Karsten
12 Verani, Marco
12 Zhang, Zhimin
11 Beuchler, Sven
11 Eigel, Martin
11 Ern, Alexandre
11 Georgoulis, Emmanuil H.
11 Hackbusch, Wolfgang
11 Herrmann, Lukas
11 Kanschat, Guido
11 Khan, Arbaz
11 Kressner, Daniel
11 Li, Hengguang
11 Matthies, Hermann Georg
11 Narayan, Akil C.
11 Nuyens, Dirk
11 Wasilkowski, Grzegorz W.
10 Adjerid, Slimane
10 Bachmayr, Markus
10 Dahlke, Stephan
10 Dauge, Monique
10 Di Pietro, Daniele Antonio
10 Dinh Dũng
10 Führer, Thomas
10 Gittelson, Claude Jeffrey
10 Jerez-Hanckes, Carlos
10 Lang, Annika
10 Law, Kody J. H.
10 Melenk, Jens Marcus
10 Nguyen, Ngoc Cuong
10 Quarteroni, Alfio M.
10 Rivière, Beatrice M.
10 Rukavishnikov, Viktor Anatol’evich
10 Ullmann, Elisabeth
10 Webster, Clayton G.
10 Wendland, Wolfgang L.
10 Xiao, Jinyou
9 Barth, Andrea
...and 3,590 more Authors
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Cited in 284 Serials

310 Computer Methods in Applied Mechanics and Engineering
220 Journal of Computational Physics
151 Journal of Scientific Computing
141 Journal of Computational and Applied Mathematics
140 Numerische Mathematik
121 Computers & Mathematics with Applications
110 Applied Numerical Mathematics
104 Mathematics of Computation
101 SIAM Journal on Scientific Computing
76 SIAM Journal on Numerical Analysis
74 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
71 SIAM/ASA Journal on Uncertainty Quantification
63 Applied Mathematics and Computation
52 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
49 Engineering Analysis with Boundary Elements
45 Advances in Computational Mathematics
41 International Journal for Numerical Methods in Engineering
30 Numerical Methods for Partial Differential Equations
28 BIT
27 Computers and Fluids
27 Foundations of Computational Mathematics
26 Journal of Complexity
24 Computational Mechanics
23 Journal of Mathematical Analysis and Applications
20 Mathematical Methods in the Applied Sciences
20 Numerical Algorithms
20 Multiscale Modeling & Simulation
19 Constructive Approximation
18 Computational Methods in Applied Mathematics
18 Journal of Numerical Mathematics
17 Mathematics and Computers in Simulation
16 Computing
16 Journal of Integral Equations and Applications
15 Calcolo
15 Numerical Functional Analysis and Optimization
14 Applicable Analysis
13 Journal of Approximation Theory
13 International Journal of Computer Mathematics
12 Numerical Linear Algebra with Applications
12 Science China. Mathematics
12 Stochastic and Partial Differential Equations. Analysis and Computations
11 Inverse Problems
11 Applications of Mathematics
11 SIAM Journal on Mathematical Analysis
11 Applied and Computational Harmonic Analysis
11 Computing and Visualization in Science
11 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
11 Computational Geosciences
10 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
10 Archives of Computational Methods in Engineering
10 Analysis and Applications (Singapore)
9 Archive for Rational Mechanics and Analysis
9 Integral Equations and Operator Theory
9 Stochastic Processes and their Applications
9 Communications in Numerical Methods in Engineering
8 Journal of Differential Equations
8 Applied Mathematical Modelling
8 Finance and Stochastics
8 International Journal of Theoretical and Applied Finance
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 International Journal for Numerical Methods in Fluids
7 Journal of Elasticity
7 Linear Algebra and its Applications
7 Quantitative Finance
7 Discrete and Continuous Dynamical Systems. Series S
6 Mathematical and Computer Modelling
6 SIAM Journal on Matrix Analysis and Applications
6 Computational and Applied Mathematics
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6 Statistics and Computing
5 Journal of Engineering Mathematics
5 The Annals of Applied Probability
5 SIAM Review
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5 ETNA. Electronic Transactions on Numerical Analysis
5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
5 Vietnam Journal of Mathematics
5 Engineering Computations
5 Acta Numerica
4 Communications in Mathematical Physics
4 Journal of Fluid Mechanics
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 SIAM Journal on Control and Optimization
4 Communications in Partial Differential Equations
4 SIAM Journal on Applied Mathematics
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 European Journal of Mechanics. A. Solids
4 Discrete and Continuous Dynamical Systems. Series B
4 SIAM Journal on Financial Mathematics
4 East Asian Journal on Applied Mathematics
3 Communications on Pure and Applied Mathematics
3 Journal of Mathematical Physics
3 Journal of Statistical Physics
3 ACM Transactions on Mathematical Software
3 Proceedings of the American Mathematical Society
3 Chinese Annals of Mathematics. Series B
3 Acta Applicandae Mathematicae
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Journal of Nonlinear Science
...and 184 more Serials
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Cited in 48 Fields

2,358 Numerical analysis (65-XX)
1,299 Partial differential equations (35-XX)
486 Fluid mechanics (76-XX)
407 Probability theory and stochastic processes (60-XX)
369 Mechanics of deformable solids (74-XX)
193 Optics, electromagnetic theory (78-XX)
175 Approximations and expansions (41-XX)
123 Statistics (62-XX)
107 Integral equations (45-XX)
102 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
101 Calculus of variations and optimal control; optimization (49-XX)
71 Harmonic analysis on Euclidean spaces (42-XX)
66 Functional analysis (46-XX)
65 Statistical mechanics, structure of matter (82-XX)
61 Linear and multilinear algebra; matrix theory (15-XX)
56 Computer science (68-XX)
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21 Information and communication theory, circuits (94-XX)
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