×

zbMATH — the first resource for mathematics

Schwab, Christoph

Compute Distance To:
Author ID: schwab.christoph Recent zbMATH articles by "Schwab, Christoph"
Published as: Schwab, Christoph; Schwab, Ch.; Schwab, C.; Schwab, CH.
Homepage: https://www.math.ethz.ch/sam/the-institute/people/christoph-schwab.html
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 294 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 Hoang, Viet Ha
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 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 Quek, Jia Hao
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.
...and 69 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
6 Inverse Problems
6 SIAM/ASA Journal on Uncertainty Quantification
5 SIAM Journal on Mathematical Analysis
5 Foundations of Computational Mathematics
5 Analysis and Applications (Singapore)
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 Integral Equations and Operator Theory
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

272 Publications have been cited 5,857 times in 3,059 Documents Cited by Year
\(p\)- and \(hp\)-finite element methods. Theory and applications in solid and fluid mechanics. Zbl 0910.73003
Schwab, Ch.
293
1998
Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067
Houston, Paul; Schwab, Christoph; Süli, Endre
202
2002
Boundary element methods. Zbl 1215.65183
Sauter, Stefan A.; Schwab, Christoph
167
2011
Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDE’s. Zbl 1219.35379
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
132
2011
Finite elements for elliptic problems with stochastic coefficients. Zbl 1143.65392
Frauenfelder, Philipp; Schwab, Christoph; Todor, Radu Alexandru
131
2005
Karhunen-Loève approximation of random fields by generalized fast multipole methods. Zbl 1104.65008
Schwab, Christoph; Todor, Radu Alexandru
130
2006
Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs. Zbl 1206.60064
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
124
2010
Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients. Zbl 1230.65006
Barth, Andrea; Schwab, Christoph; Zollinger, Nathaniel
112
2011
Local discontinuous Galerkin methods for the Stokes system. Zbl 1032.65127
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik; Schwab, Christoph
103
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
103
2002
Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs. Zbl 1269.65010
Schwab, Christoph; Gittelson, Claude Jeffrey
99
2011
Time discretization of parabolic problems by the \(hp\)-version of the discontinuous Galerkin finite element method. Zbl 0978.65091
Schötzau, Dominik; Schwab, Christoph
94
2000
Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients. Zbl 1120.65004
Todor, Radu Alexandru; Schwab, Christoph
94
2007
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.
77
2012
The \(p\) and \(hp\) versions of the finite element method for problems with boundary layers. Zbl 0853.65115
Schwab, Christoph; Suri, Manil
71
1996
Mixed hp-DGFEM for incompressible flows. Zbl 1055.76032
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea
68
2003
Space-time adaptive wavelet methods for parabolic evolution problems. Zbl 1198.65249
Schwab, Christoph; Stevenson, Rob
68
2009
Tensor-structured Galerkin approximation of parametric and stochastic elliptic PDEs. Zbl 1243.65009
Khoromskij, Boris N.; Schwab, Christoph
66
2011
High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs. Zbl 1298.65022
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
59
2014
Sparse finite elements for elliptic problems with stochastic loading. Zbl 1044.65085
Schwab, Christoph; Todor, Radu-Alexandru
58
2003
An \(hp\) a priori error analysis of the DG time-stepping for initial value problems. Zbl 1012.65084
Schötzau, Dominik; Schwab, Christoph
57
2000
Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs. Zbl 1327.65251
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
57
2015
On numerical cubatures of singular surface integrals in boundary element methods. Zbl 0761.65012
Schwab, Christoph; Wendland, Wolfgang L.
55
1992
Sparse high order FEM for elliptic sPDEs. Zbl 1157.65481
Bieri, Marcel; Schwab, Christoph
52
2009
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.
50
2015
Wavelet approximations for first kind boundary integral equations on polygons. Zbl 0863.65074
von Petersdorff, Tobias; Schwab, Christoph
49
1996
Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data. Zbl 1271.65018
Mishra, Siddhartha; Schwab, Christoph
48
2012
Stabilized \(hp\)-finite element methods for first-order hyperbolic problems. Zbl 0957.65103
Houston, Paul; Schwab, Christoph; Süli, Endre
47
2000
Sparse, adaptive Smolyak quadratures for Bayesian inverse problems. Zbl 1278.65008
Schillings, Claudia; Schwab, Christoph
46
2013
Numerical solution of parabolic equations in high dimensions. Zbl 1083.65095
von Petersdorff, Tobias; Schwab, Christoph
45
2004
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 second moment analysis for elliptic problems in stochastic domains. Zbl 1146.65007
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
45
2008
Fast deterministic pricing of options on Lévy driven assets. Zbl 1072.60052
Matache, Ana-Maria; von Petersdorff, Tobias; Schwab, Christoph
44
2004
Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations. Zbl 1328.60126
Lang, Annika; Schwab, Christoph
44
2015
Adaptive stochastic Galerkin FEM. Zbl 1296.65157
Eigel, Martin; Gittelson, Claude Jeffrey; Schwab, Christoph; Zander, Elmar
43
2014
Adaptive Petrov-Galerkin methods for first order transport equations. Zbl 1260.65091
Dahmen, Wolfgang; Huang, Chunyan; Schwab, Christoph; Welper, Gerrit
41
2012
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.
41
2012
Sparse finite elements for stochastic elliptic problems — higher order moments. Zbl 1044.65006
Schwab, Ch.; Todor, R. A.
40
2003
Wavelet Galerkin pricing of American options on Lévy driven assets. Zbl 1134.91450
Matache, Ana-Maria; Nitsche, Pál-Andrej; Schwab, Christoph
40
2005
Wavelet Galerkin algorithms for boundary integral equations. Zbl 0943.65134
Lage, Christian; Schwab, Christoph
39
1999
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
39
2014
Sparse deterministic approximation of Bayesian inverse problems. Zbl 1236.62014
Schwab, C.; Stuart, A. M.
39
2012
A posteriori modeling error estimation for hierarchic plate models. Zbl 0856.73031
Schwab, Christoph
37
1996
High-dimensional finite elements for elliptic problems with multiple scales. Zbl 1074.65135
Viet Ha Hoang; Schwab, Christoph
37
2005
Kernel properties and representations of boundary integral operators. Zbl 0805.35168
Schwab, Christoph; Wendland, Wolfgang L.
37
1992
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
37
2013
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.
37
2015
An adaptive wavelet method for solving high-dimensional elliptic PDEs. Zbl 1205.65313
Dijkema, Tammo Jan; Schwab, Christoph; Stevenson, Rob
37
2009
Boundary element methods for Maxwell’s equations on non-smooth domains. Zbl 1019.65094
Buffa, Annalisa; Costabel, Martin; Schwab, Christoph
36
2002
Fully discrete \(hp\)-finite elements: Fast quadrature. Zbl 0985.65141
Melenk, J. M.; Gerdes, K.; Schwab, Ch.
36
2001
\(hp\)-discontinuous Galerkin time stepping for parabolic problems. Zbl 0992.65103
Werder, T.; Gerdes, K.; Schötzau, Dominik; Schwab, Christoph
36
2001
Sparse tensor discretization of elliptic SPDEs. Zbl 1205.35346
Bieri, Marcel; Andreev, Roman; Schwab, Christoph
35
2009
Existence of global weak solutions for some polymeric flow models. Zbl 1161.76453
Barrett, John W.; Schwab, Christoph; Süli, Endre
34
2005
The \(hp\) finite element method for problems in mechanics with boundary layers. Zbl 0959.74073
Schwab, Christoph; Suri, Manil; Xenophontos, C.
33
1998
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
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.
33
2011
Sparse finite element methods for operator equations with stochastic data. Zbl 1164.65300
von Petersdorff, Tobias; Schwab, Christoph
33
2006
Complexity analysis of accelerated MCMC methods for Bayesian inversion. Zbl 1288.65004
Hoang, Viet Ha; Schwab, Christoph; Stuart, Andrew M.
32
2013
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
Multiwavelets for second-kind integral equations. Zbl 0891.65121
Von Petersdorff, Tobias; Schwab, Christoph; Schneider, Reinhold
29
1997
\(hp\) FEM for reaction-diffusion equations. I: Robust exponential convergence. Zbl 0972.65093
Melenk, Jens Markus; Schwab, Christoph
29
1998
Variable order composite quadrature of singular and nearly singular integrals. Zbl 0813.65057
Schwab, Christoph
28
1994
Locking effects in the finite element approximation of plate models. Zbl 0827.73063
Suri, Manil; Babuška, Ivo; Schwab, Christoph
28
1995
Heterogeneous multiscale FEM for diffusion problems on rough surfaces. Zbl 1160.65337
Abdulle, Assyr; Schwab, Christoph
28
2005
A finite volume discontinuous Galerkin scheme for nonlinear convection-diffusion problems. Zbl 1098.65095
Dolejší, Vít; Feistauer, Miloslav; Schwab, Christoph
27
2002
Natural boundary element methods for the electric field integral equation on polyhedra. Zbl 1010.78014
Hiptmair, Ralf; Schwab, Christoph
26
2002
Multilevel Monte Carlo method for parabolic stochastic partial differential equations. Zbl 1272.65009
Barth, Andrea; Lang, Annika; Schwab, Christoph
26
2013
Multilevel quasi-Monte Carlo methods for lognormal diffusion problems. Zbl 1368.65005
Kuo, Frances Y.; Scheichl, Robert; Schwab, Christoph; Sloan, Ian H.; Ullmann, Elisabeth
26
2017
Multilevel frames for sparse tensor product spaces. Zbl 1151.65010
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
25
2008
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
24
2002
\(hp\)-dGFEM for second order elliptic problems in polyhedra. II: Exponential convergence. Zbl 1457.65215
Schötzau, D.; Schwab, Ch.; Wihler, T. P.
23
2013
Computational methods for quantitative finance. Finite element methods for derivative pricing. Zbl 1275.91005
Hilber, Norbert; Reichmann, Oleg; Schwab, Christoph; Winter, Christoph
23
2013
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
23
2016
Fourier mode analysis of layers in shallow shell deformations. Zbl 0983.74039
Pitkäranta, Juhani; Matache, Ana-Maria; Schwab, Christoph
22
2001
Exponential convergence of {\(hp\)} quadrature for integral operators with Gevrey kernels. Zbl 1269.65143
Chernov, Alexey; Von Petersdorff, Tobias; Schwab, Christoph
22
2011
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
A posteriori error estimation for hierarchic models of elliptic boundary value problems on thin domains. Zbl 0846.65056
Babuška, Ivo; Schwab, Christoph
21
1996
Sparsity in Bayesian inversion of parametric operator equations. Zbl 1291.65033
Schillings, Claudia; Schwab, Christoph
21
2014
Generalized \(p\)-FEM in homogenization. Zbl 0964.65125
Matache, Ana-Maria; Babuška, Ivo; Schwab, Christoph
20
2000
On some aspects of the discontinuous Galerkin finite element method for conservation laws. Zbl 1013.65108
Dolejší, Vít; Feistauer, Miloslav; Schwab, Christoph
20
2003
Boundary elements methods. Analysis, numerics and implementation of fast algorithms. (Randelementmethoden. Analyse, Numerik und Implementierung schneller Algorithmen.) Zbl 1059.65108
Sauter, Stefan; Schwab, Christoph
20
2004
\(N\)-term Wiener chaos approximation rates for elliptic PDEs with lognormal Gaussian random inputs. Zbl 1294.65010
Hoang, Viet Ha; Schwab, Christoph
20
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
20
2013
\(hp\)-DGFEM for partial differential equations with nonnegative characteristic form. Zbl 0946.65102
Süli, Endre; Schwab, Christoph; Houston, Paul
19
2000
First-order \(k\)-th moment finite element analysis of nonlinear operator equations with stochastic data. Zbl 1281.65008
Chernov, Alexey; Schwab, Christoph
19
2013
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
19
2015
Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations. Zbl 1358.65034
Rauhut, Holger; Schwab, Christoph
19
2017
Adaptive wavelet algorithms for elliptic PDE’s on product domains. Zbl 1127.41009
Schwab, Christoph; Stevenson, Rob
19
2008
Numerical methods for Lévy processes. Zbl 1195.91175
Hilber, N.; Reich, N.; Schwab, C.; Winter, C.
18
2009
Exponential convergence of the \(hp\)-DGFEM for diffusion problems. Zbl 1059.65095
Wihler, Thomas P.; Frauenfelder, Philipp; Schwab, Christoph
18
2003
Higher order quasi-Monte Carlo integration for holomorphic, parametric operator equations. Zbl 1398.65031
Dick, Josef; Le Gia, Quoc T.; Schwab, Christoph
17
2016
Mixed \(hp\)-FEM on anisotropic meshes. II: Hanging nodes and tensor products of boundary layer meshes. Zbl 0958.76049
Schötzau, Dominik; Schwab, Christoph; Stenberg, Rolf
17
1999
The optimal \(p\)-version approximation of singularities on polyhedra in the boundary element method. Zbl 0854.65108
Schwab, Christoph; Suri, Manil
17
1996
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
Sparse-grid, reduced-basis Bayesian inversion: nonaffine-parametric nonlinear equations. Zbl 1349.62076
Chen, Peng; Schwab, Christoph
17
2016
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-grid, reduced-basis Bayesian inversion. Zbl 1425.65020
Chen, Peng; Schwab, Christoph
16
2015
Deep ReLU networks and high-order finite element methods. Zbl 1452.65354
Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph
5
2020
Domain uncertainty quantification in computational electromagnetics. Zbl 07193414
Aylwin, Ruben; Jerez-Hanckes, Carlos; Schwab, Christoph; Zech, Jakob
3
2020
Multilevel approximation of Gaussian random fields: fast simulation. Zbl 1448.60110
Herrmann, Lukas; Kirchner, Kristin; Schwab, Christoph
2
2020
Analytic regularity for the incompressible Navier-Stokes equations in polygons. Zbl 1447.35252
Marcati, Carlo; Schwab, Christoph
1
2020
Multilevel quasi-Monte Carlo uncertainty quantification for advection-diffusion-reaction. Zbl 07240088
Herrmann, Lukas; Schwab, Christoph
1
2020
Convergence rates of high dimensional Smolyak quadrature. Zbl 07240638
Zech, Jakob; 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
15
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
7
2019
Multilevel quasi-Monte Carlo integration with product weights for elliptic PDEs with lognormal coefficients. Zbl 07135561
Herrmann, Lukas; Schwab, Christoph
6
2019
QMC integration for lognormal-parametric, elliptic PDEs: local supports and product weights. Zbl 07006664
Herrmann, Lukas; Schwab, Christoph
6
2019
Multilevel approximation of parametric and stochastic PDES. Zbl 1427.65386
Zech, Jakob; Dũng, Dinh; Schwab, Christoph
5
2019
Improved efficiency of a multi-index FEM for computational uncertainty quantification. Zbl 07100359
Dick, Josef; Feischl, Michael; Schwab, Christoph
3
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
3
2019
Uncertainty quantification for spectral fractional diffusion: sparsity analysis of parametric solutions. Zbl 1469.65170
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.
15
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
12
2018
Shape holomorphy of the stationary Navier-Stokes equations. Zbl 1390.35227
Cohen, Albert; Schwab, Christoph; Zech, Jakob
9
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
8
2018
Numerical analysis of lognormal diffusions on the sphere. Zbl 1402.60062
Herrmann, Lukas; Lang, Annika; Schwab, Christoph
7
2018
Space-time \(hp\)-approximation of parabolic equations. Zbl 1404.65118
Devaud, Denis; Schwab, Christoph
4
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
QMC algorithms with product weights for lognormal-parametric, elliptic PDEs. Zbl 1422.65017
Herrmann, Lukas; 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
Correction to: “Multilevel Monte Carlo front-tracking for random scalar conservation laws”. Zbl 1430.65004
Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska
1
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
26
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
19
2017
Electromagnetic wave scattering by random surfaces: shape holomorphy. Zbl 1381.35170
Jerez-Hanckes, Carlos; Schwab, Christoph; Zech, Jakob
13
2017
Covariance regularity and \(\mathcal {H}\)-matrix approximation for rough random fields. Zbl 1362.65124
Dölz, J.; Harbrecht, H.; Schwab, Ch.
10
2017
Fully discrete approximation of parametric and stochastic elliptic PDEs. Zbl 1377.65005
Bachmayr, Markus; Cohen, Albert; Dũng, Dinh; Schwab, Christoph
9
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
8
2017
Fractional space-time variational formulations of (Navier-) Stokes equations. Zbl 1375.35329
Schwab, Christoph; Stevenson, Rob
7
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
Symmetric interior penalty discontinuous Galerkin methods for elliptic problems in polygons. Zbl 1376.65145
Müller, Fabian; Schötzau, Dominik; 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
23
2016
Higher order quasi-Monte Carlo integration for holomorphic, parametric operator equations. Zbl 1398.65031
Dick, Josef; Le Gia, Quoc T.; Schwab, Christoph
17
2016
Sparse-grid, reduced-basis Bayesian inversion: nonaffine-parametric nonlinear equations. Zbl 1349.62076
Chen, Peng; Schwab, Christoph
17
2016
Scaling limits in computational Bayesian inversion. Zbl 1358.65013
Schillings, Claudia; Schwab, Christoph
16
2016
Computational higher order quasi-Monte Carlo integration. Zbl 1356.65003
Gantner, Robert N.; Schwab, Christoph
15
2016
Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007
Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana
14
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
\(hp\)-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
5
2016
Finite elements with mesh refinement for elastic wave propagation in polygons. Zbl 1457.65130
Müller, Fabian; Schwab, Christoph
3
2016
Multilevel Monte Carlo simulation of statistical solutions to the Navier-Stokes equations. Zbl 1382.76209
Barth, Andrea; Schwab, Christoph; Šukys, Jonas
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
57
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.
50
2015
Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations. Zbl 1328.60126
Lang, Annika; Schwab, Christoph
44
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.
37
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
19
2015
Sparse-grid, reduced-basis Bayesian inversion. Zbl 1425.65020
Chen, Peng; Schwab, Christoph
16
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
7
2015
Tensor approximation of stationary distributions of chemical reaction networks. Zbl 1322.60155
Kazeev, Vladimir; Schwab, Christoph
7
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
Exponential convergence of simplicial hp-FEM for \(H^1\)-functions with isotropic singularities. Zbl 1352.65548
Schwab, Christoph
1
2015
Higher order quasi Monte-Carlo integration in uncertainty quantification. Zbl 1352.65017
Dick, Josef; Thong Le Gia, Quoc; Schwab, Christoph
1
2015
High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs. Zbl 1298.65022
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
59
2014
Adaptive stochastic Galerkin FEM. Zbl 1296.65157
Eigel, Martin; Gittelson, Claude Jeffrey; Schwab, Christoph; Zander, Elmar
43
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
39
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
20
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
14
2014
Exponential convergence of the \(hp\) version of isogeometric analysis in 1D. Zbl 1282.65090
Buffa, Annalisa; Sangalli, Giancarlo; Schwab, Christoph
8
2014
Space-time variational saddle point formulations of Stokes and Navier-Stokes equations. Zbl 1295.35354
Guberovic, Rafaela; Schwab, Christoph; Stevenson, Rob
7
2014
Efficient resolution of anisotropic structures. Zbl 1317.65251
Dahmen, Wolfgang; Huang, Chunyan; Kutyniok, Gitta; Lim, Wang-Q; Schwab, Christoph; Welper, Gerrit
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
46
2013
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
37
2013
Complexity analysis of accelerated MCMC methods for Bayesian inversion. Zbl 1288.65004
Hoang, Viet Ha; Schwab, Christoph; Stuart, Andrew M.
32
2013
Multilevel Monte Carlo method for parabolic stochastic partial differential equations. Zbl 1272.65009
Barth, Andrea; Lang, Annika; Schwab, Christoph
26
2013
\(hp\)-dGFEM for second order elliptic problems in polyhedra. II: Exponential convergence. Zbl 1457.65215
Schötzau, D.; Schwab, Ch.; Wihler, T. P.
23
2013
Computational methods for quantitative finance. Finite element methods for derivative pricing. Zbl 1275.91005
Hilber, Norbert; Reichmann, Oleg; Schwab, Christoph; Winter, Christoph
23
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
20
2013
First-order \(k\)-th moment finite element analysis of nonlinear operator equations with stochastic data. Zbl 1281.65008
Chernov, Alexey; Schwab, Christoph
19
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
Analytic regularity and polynomial approximation of stochastic, parametric elliptic multiscale PDEs. Zbl 1259.49059
Hoang, V. H.; Schwab, CH.
15
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
14
2013
Sparse adaptive approximation of high dimensional parametric initial value problems. Zbl 1272.34012
Hansen, Markus; Schwab, Christoph
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
13
2013
Low-rank tensor structure of linear diffusion operators in the TT and QTT formats. Zbl 1281.15024
Kazeev, Vladimir; Reichmann, Oleg; Schwab, Christoph
12
2013
Uncertainty quantification in computational fluid dynamics. Zbl 1276.76005
Bijl, Hester; Lucor, Didier; Mishra, Siddhartha; Schwab, Christoph
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
Adaptive Galerkin approximation algorithms for Kolmogorov equations in infinite dimensions. Zbl 1286.35257
Schwab, Christoph; Süli, Endre
5
2013
QMC Galerkin discretization of parametric operator equations. Zbl 1302.65020
Schwab, Christoph
5
2013
Sparse space-time Galerkin BEM for the nonstationary heat equation. Zbl 1276.76046
Chernov, Alexey; 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
...and 172 more Documents
all top 5

Cited by 3,564 Authors

146 Schwab, Christoph
47 Harbrecht, Helmut
35 Hiptmair, Ralf
33 Nobile, Fabio
31 Praetorius, Dirk
30 Schötzau, Dominik
29 Demkowicz, Leszek F.
28 Tempone, Raúl F.
26 Melenk, Jens Markus
24 Cockburn, Bernardo
24 Sauter, Stefan A.
23 Abdulle, Assyr
23 Xenophontos, Christos A.
22 Wihler, Thomas Pascal
21 Dolejší, Vít
21 Houston, Paul
21 Stevenson, Rob P.
20 Cohen, Albert
20 Scheichl, Robert
20 Schneider, Reinhold
19 Chernov, Alexey
19 Kuo, Frances Y.
18 Baccouch, Mahboub
18 Dick, Josef
18 Feistauer, Miloslav
18 Nouy, Anthony
18 Süli, Endre E.
17 Bespalov, Alexei
17 Nicaise, Serge
17 Perugia, Ilaria
17 Sloan, Ian Hugh
17 Wheeler, Mary Fanett
17 Yi, Lijun
16 Dahmen, Wolfgang A.
16 Giani, Stefano
16 Karniadakis, George Em
16 Khoromskij, Boris N.
16 Mishra, Siddhartha
15 Ainsworth, Mark
15 Feischl, Michael
15 Hoang, Viet Ha
15 Li, Jichun
14 Buffa, Annalisa
14 Chung, Tsz Shun Eric
14 Düster, Alexander
14 Graham, Ivan G.
14 Heuer, Norbert
14 Marzouk, Youssef M.
14 Peters, Michael D.
14 Rank, Ernst
14 Shu, Chi-Wang
14 Steinbach, Olaf
14 Stephan, Ernst Peter
14 Urban, Karsten
13 Antonietti, Paola Francesca
13 Chen, Peng
13 Georgoulis, Emmanuil H.
13 Griebel, Michael
13 Nuyens, Dirk
13 Zhang, Qiang
12 Goda, Takashi
12 Hakula, Harri
12 Karkulik, Michael
12 Khan, Arbaz
12 Schmidt, Kersten
12 Verani, Marco
12 Zhang, Zhimin
11 Bachmayr, Markus
11 Beuchler, Sven
11 Dinh Dũng
11 Eigel, Martin
11 Ern, Alexandre
11 Hackbusch, Wolfgang
11 Herrmann, Lukas
11 Kanschat, Guido
11 Kressner, Daniel
11 Li, Hengguang
11 Matthies, Hermann Georg
11 Narayan, Akil C.
11 Wasilkowski, Grzegorz W.
10 Dahlke, Stephan
10 Dauge, Monique
10 DeVore, Ronald A.
10 Di Pietro, Daniele Antonio
10 Dutt, Pravir Kumar
10 Führer, Thomas
10 Gittelson, Claude Jeffrey
10 Lang, Annika
10 Law, Kody J. H.
10 Quarteroni, Alfio M.
10 Rivière, Beatrice M.
10 Rukavishnikov, Viktor Anatol’evich
10 Spence, Euan A.
10 Ullmann, Elisabeth
10 Webster, Clayton G.
10 Wendland, Wolfgang L.
10 Xiao, Jinyou
9 Adjerid, Slimane
9 Barth, Andrea
9 Canuto, Claudio
...and 3,464 more Authors
all top 5

Cited in 293 Serials

299 Computer Methods in Applied Mechanics and Engineering
214 Journal of Computational Physics
156 Journal of Scientific Computing
145 Numerische Mathematik
126 Journal of Computational and Applied Mathematics
123 Computers & Mathematics with Applications
112 SIAM Journal on Scientific Computing
109 Applied Numerical Mathematics
105 Mathematics of Computation
78 SIAM Journal on Numerical Analysis
75 SIAM/ASA Journal on Uncertainty Quantification
73 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
62 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
61 Applied Mathematics and Computation
49 Advances in Computational Mathematics
49 Engineering Analysis with Boundary Elements
41 International Journal for Numerical Methods in Engineering
30 Numerical Methods for Partial Differential Equations
28 BIT
28 Foundations of Computational Mathematics
26 Computers and Fluids
26 Journal of Complexity
24 Computational Mechanics
21 Numerical Algorithms
20 Journal of Mathematical Analysis and Applications
20 Mathematical Methods in the Applied Sciences
20 Multiscale Modeling & Simulation
19 Constructive Approximation
19 Journal of Numerical Mathematics
18 Computational Methods in Applied Mathematics
17 Calcolo
16 Computing
16 Journal of Integral Equations and Applications
15 Mathematics and Computers in Simulation
15 Numerical Functional Analysis and Optimization
14 Applicable Analysis
13 Journal of Approximation Theory
13 International Journal of Computer Mathematics
13 Science China. Mathematics
12 Inverse Problems
12 SIAM Journal on Mathematical Analysis
12 Applied and Computational Harmonic Analysis
12 Numerical Linear Algebra with Applications
12 Stochastic and Partial Differential Equations. Analysis and Computations
11 Applications of Mathematics
11 Computing and Visualization in Science
11 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
11 Computational Geosciences
11 Analysis and Applications (Singapore)
10 Integral Equations and Operator Theory
10 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
10 Archives of Computational Methods in Engineering
9 Applied Mathematical Modelling
9 Stochastic Processes and their Applications
9 Communications in Numerical Methods in Engineering
8 Archive for Rational Mechanics and Analysis
8 Journal of Differential Equations
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 Computational and Applied Mathematics
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 Vietnam Journal of Mathematics
6 International Journal of Computational Methods
6 Statistics and Computing
5 Journal of Engineering Mathematics
5 Journal of Fluid Mechanics
5 The Annals of Applied Probability
5 SIAM Review
5 Computational Optimization and Applications
5 ETNA. Electronic Transactions on Numerical Analysis
5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
5 Engineering Computations
5 Acta Numerica
4 Communications in Mathematical Physics
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Communications in Partial Differential Equations
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 Electronic Journal of Statistics
4 SIAM Journal on Financial Mathematics
4 Advances in Applied Mathematics and Mechanics
4 East Asian Journal on Applied Mathematics
3 Acta Mechanica
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 SIAM Journal on Control and Optimization
3 Chinese Annals of Mathematics. Series B
3 Acta Applicandae Mathematicae
...and 193 more Serials
all top 5

Cited in 50 Fields

2,387 Numerical analysis (65-XX)
1,317 Partial differential equations (35-XX)
493 Fluid mechanics (76-XX)
416 Probability theory and stochastic processes (60-XX)
361 Mechanics of deformable solids (74-XX)
191 Optics, electromagnetic theory (78-XX)
179 Approximations and expansions (41-XX)
134 Statistics (62-XX)
107 Integral equations (45-XX)
105 Calculus of variations and optimal control; optimization (49-XX)
105 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
75 Harmonic analysis on Euclidean spaces (42-XX)
66 Functional analysis (46-XX)
65 Linear and multilinear algebra; matrix theory (15-XX)
64 Statistical mechanics, structure of matter (82-XX)
62 Computer science (68-XX)
58 Operator theory (47-XX)
47 Ordinary differential equations (34-XX)
46 Biology and other natural sciences (92-XX)
41 Operations research, mathematical programming (90-XX)
33 Systems theory; control (93-XX)
27 Geophysics (86-XX)
25 Classical thermodynamics, heat transfer (80-XX)
23 Information and communication theory, circuits (94-XX)
22 Potential theory (31-XX)
17 Special functions (33-XX)
13 Real functions (26-XX)
13 Quantum theory (81-XX)
12 Dynamical systems and ergodic theory (37-XX)
12 Global analysis, analysis on manifolds (58-XX)
10 Number theory (11-XX)
8 Astronomy and astrophysics (85-XX)
6 General and overarching topics; collections (00-XX)
6 Measure and integration (28-XX)
5 Functions of a complex variable (30-XX)
5 Several complex variables and analytic spaces (32-XX)
4 Abstract harmonic analysis (43-XX)
4 Integral transforms, operational calculus (44-XX)
4 Relativity and gravitational theory (83-XX)
3 Combinatorics (05-XX)
2 Manifolds and cell complexes (57-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Topological groups, Lie groups (22-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Mechanics of particles and systems (70-XX)
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.