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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
all top 5

Co-Authors

14 single-authored
24 Schötzau, Dominik
15 Matache, Ana-Maria
12 Herrmann, Lukas
12 Mishra, Siddhartha
11 Melenk, Jens Markus
10 Gerdes, Klaus
10 Kuo, Frances Y.
10 Wendland, Wolfgang L.
10 Zech, Jakob
9 Dick, Josef
9 von Petersdorff, Tobias
8 Wihler, Thomas Pascal
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 Kazeev, Vladimir A.
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 Lang, Annika
4 Marcati, Carlo
4 Müller, Fabian Lukas
4 Opschoor, Joost A. A.
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 Rakhuba, Maxim V.
3 Reich, Nils
3 Schmidlin, Gregor
3 Schulz, Heiko
3 Tokareva, Svetlana A.
3 Weber, Franziska
3 Welper, Gerrit
2 Abdulle, Assyr
2 Banjai, Lehel
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 Longo, Marcello
2 Maz’ya, Vladimir Gilelevich
2 Moiola, Andrea
2 Oseledets, Ivan V.
2 Pentenrieder, Bastian
2 Perugia, Ilaria
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 Bansal, Pratyuksh
...and 86 more Co-Authors
all top 5

Serials

24 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
8 IMA Journal of Numerical Analysis
8 Journal of Computational Physics
8 SIAM Journal on Scientific Computing
7 SIAM/ASA Journal on Uncertainty Quantification
6 Inverse Problems
6 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 Advances in Computational Mathematics
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
4 Multiscale Modeling & Simulation
3 Constructive Approximation
3 Finance and Stochastics
3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
3 The ANZIAM Journal
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 Scientific Computing
2 Journal of Elasticity
2 Comptes Rendus de l’Académie des Sciences. Série I
2 East-West Journal of Numerical Mathematics
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 Computational Mechanics
1 SIAM Journal on Matrix Analysis and Applications
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 Research in the Mathematical Sciences
1 Springer Finance
1 Numerical Mathematics and Scientific Computation

Publications by Year

Citations contained in zbMATH Open

284 Publications have been cited 6,721 times in 3,485 Documents Cited by Year
\(p\)- and \(hp\)-finite element methods. Theory and applications in solid and fluid mechanics. Zbl 0910.73003
Schwab, Ch.
318
1998
Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067
Houston, Paul; Schwab, Christoph; Süli, Endre
216
2002
Boundary element methods. Zbl 1215.65183
Sauter, Stefan A.; Schwab, Christoph
192
2011
Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDE’s. Zbl 1219.35379
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
149
2011
Karhunen-Loève approximation of random fields by generalized fast multipole methods. Zbl 1104.65008
Schwab, Christoph; Todor, Radu Alexandru
144
2006
Finite elements for elliptic problems with stochastic coefficients. Zbl 1143.65392
Frauenfelder, Philipp; Schwab, Christoph; Todor, Radu Alexandru
142
2005
Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs. Zbl 1206.60064
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
142
2010
Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients. Zbl 1230.65006
Barth, Andrea; Schwab, Christoph; Zollinger, Nathaniel
133
2011
Local discontinuous Galerkin methods for the Stokes system. Zbl 1032.65127
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik; Schwab, Christoph
123
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
121
2002
Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs. Zbl 1269.65010
Schwab, Christoph; Gittelson, Claude Jeffrey
114
2011
Time discretization of parabolic problems by the \(hp\)-version of the discontinuous Galerkin finite element method. Zbl 0978.65091
Schötzau, Dominik; Schwab, Christoph
102
2000
Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients. Zbl 1120.65004
Todor, Radu Alexandru; Schwab, Christoph
98
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.
96
2012
The \(p\) and \(hp\) versions of the finite element method for problems with boundary layers. Zbl 0853.65115
Schwab, Christoph; Suri, Manil
83
1996
Space-time adaptive wavelet methods for parabolic evolution problems. Zbl 1198.65249
Schwab, Christoph; Stevenson, Rob
83
2009
Mixed hp-DGFEM for incompressible flows. Zbl 1055.76032
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea
75
2003
Tensor-structured Galerkin approximation of parametric and stochastic elliptic PDEs. Zbl 1243.65009
Khoromskij, Boris N.; Schwab, Christoph
72
2011
High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs. Zbl 1298.65022
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
71
2014
Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs. Zbl 1327.65251
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
69
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.
62
2015
An \(hp\) a priori error analysis of the DG time-stepping for initial value problems. Zbl 1012.65084
Schötzau, Dominik; Schwab, Christoph
62
2000
Sparse finite elements for elliptic problems with stochastic loading. Zbl 1044.65085
Schwab, Christoph; Todor, Radu-Alexandru
61
2003
Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations. Zbl 1328.60126
Lang, Annika; Schwab, Christoph
57
2015
Adaptive stochastic Galerkin FEM. Zbl 1296.65157
Eigel, Martin; Gittelson, Claude Jeffrey; Schwab, Christoph; Zander, Elmar
57
2014
Sparse high order FEM for elliptic sPDEs. Zbl 1157.65481
Bieri, Marcel; Schwab, Christoph
56
2009
On numerical cubatures of singular surface integrals in boundary element methods. Zbl 0761.65012
Schwab, Christoph; Wendland, Wolfgang L.
55
1992
Stabilized \(hp\)-finite element methods for first-order hyperbolic problems. Zbl 0957.65103
Houston, Paul; Schwab, Christoph; Süli, Endre
55
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
55
2012
Sparse, adaptive Smolyak quadratures for Bayesian inverse problems. Zbl 1278.65008
Schillings, Claudia; Schwab, Christoph
53
2013
Adaptive Petrov-Galerkin methods for first order transport equations. Zbl 1260.65091
Dahmen, Wolfgang; Huang, Chunyan; Schwab, Christoph; Welper, Gerrit
51
2012
Wavelet approximations for first kind boundary integral equations on polygons. Zbl 0863.65074
von Petersdorff, Tobias; Schwab, Christoph
50
1996
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
49
2014
Boundary element methods for Maxwell transmission problems in Lipschitz domains. Zbl 1071.65160
Buffa, Annalisa; Hiptmair, Ralf; von Petersdorff, Tobias; Schwab, Christoph
49
2003
Fast deterministic pricing of options on Lévy driven assets. Zbl 1072.60052
Matache, Ana-Maria; von Petersdorff, Tobias; Schwab, Christoph
48
2004
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.
48
2012
Sparse second moment analysis for elliptic problems in stochastic domains. Zbl 1146.65007
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
48
2008
Numerical solution of parabolic equations in high dimensions. Zbl 1083.65095
von Petersdorff, Tobias; Schwab, Christoph
47
2004
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.
45
2015
Sparse deterministic approximation of Bayesian inverse problems. Zbl 1236.62014
Schwab, C.; Stuart, A. M.
44
2012
Boundary element methods for Maxwell’s equations on non-smooth domains. Zbl 1019.65094
Buffa, Annalisa; Costabel, Martin; Schwab, Christoph
43
2002
An adaptive wavelet method for solving high-dimensional elliptic PDEs. Zbl 1205.65313
Dijkema, Tammo Jan; Schwab, Christoph; Stevenson, Rob
43
2009
High-dimensional finite elements for elliptic problems with multiple scales. Zbl 1074.65135
Viet Ha Hoang; Schwab, Christoph
42
2005
Wavelet Galerkin pricing of American options on Lévy driven assets. Zbl 1134.91450
Matache, Ana-Maria; Nitsche, Pál-Andrej; Schwab, Christoph
42
2005
Fully discrete \(hp\)-finite elements: Fast quadrature. Zbl 0985.65141
Melenk, J. M.; Gerdes, K.; Schwab, Ch.
41
2001
Sparse finite elements for stochastic elliptic problems — higher order moments. Zbl 1044.65006
Schwab, Ch.; Todor, R. A.
41
2003
Wavelet Galerkin algorithms for boundary integral equations. Zbl 0943.65134
Lage, Christian; Schwab, Christoph
40
1999
Existence of global weak solutions for some polymeric flow models. Zbl 1161.76453
Barrett, John W.; Schwab, Christoph; Süli, Endre
39
2005
\(hp\)-discontinuous Galerkin time stepping for parabolic problems. Zbl 0992.65103
Werder, T.; Gerdes, K.; Schötzau, Dominik; Schwab, Christoph
38
2001
The \(hp\) finite element method for problems in mechanics with boundary layers. Zbl 0959.74073
Schwab, Christoph; Suri, Manil; Xenophontos, C.
38
1998
Sparse tensor discretization of elliptic SPDEs. Zbl 1205.35346
Bieri, Marcel; Andreev, Roman; Schwab, Christoph
38
2009
Kernel properties and representations of boundary integral operators. Zbl 0805.35168
Schwab, Christoph; Wendland, Wolfgang L.
37
1992
A posteriori modeling error estimation for hierarchic plate models. Zbl 0856.73031
Schwab, Christoph
37
1996
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
37
2013
Exponential convergence of \(hp\)-FEM for Maxwell equations with weighted regularization in polygonal domains. Zbl 1078.65089
Costabel, Martin; Dauge, Monique; Schwab, Christoph
36
2005
Complexity analysis of accelerated MCMC methods for Bayesian inversion. Zbl 1288.65004
Hoang, Viet Ha; Schwab, Christoph; Stuart, Andrew M.
36
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.
35
2011
Fast numerical solution of parabolic integro-differential equations with applications in finance. Zbl 1098.65123
Matache, Ana-Maria; Schwab, Christoph; Wihler, Thomas P.
35
2005
Deep learning in high dimension: neural network expression rates for generalized polynomial chaos expansions in UQ. Zbl 1478.68309
Schwab, Christoph; Zech, Jakob
35
2019
Sparse finite element methods for operator equations with stochastic data. Zbl 1164.65300
von Petersdorff, Tobias; Schwab, Christoph
33
2006
Multiwavelets for second-kind integral equations. Zbl 0891.65121
Von Petersdorff, Tobias; Schwab, Christoph; Schneider, Reinhold
31
1997
Locking effects in the finite element approximation of plate models. Zbl 0827.73063
Suri, Manil; Babuška, Ivo; Schwab, Christoph
30
1995
\(hp\) FEM for reaction-diffusion equations. I: Robust exponential convergence. Zbl 0972.65093
Melenk, Jens Markus; Schwab, Christoph
30
1998
Multilevel higher-order quasi-Monte Carlo Bayesian estimation. Zbl 1375.65169
Dick, Josef; Gantner, Robert N.; Le Gia, Quoc T.; Schwab, Christoph
30
2017
Variable order composite quadrature of singular and nearly singular integrals. Zbl 0813.65057
Schwab, Christoph
29
1994
Heterogeneous multiscale FEM for diffusion problems on rough surfaces. Zbl 1160.65337
Abdulle, Assyr; Schwab, Christoph
29
2005
Multilevel quasi-Monte Carlo methods for lognormal diffusion problems. Zbl 1368.65005
Kuo, Frances Y.; Scheichl, Robert; Schwab, Christoph; Sloan, Ian H.; Ullmann, Elisabeth
29
2017
Computational methods for quantitative finance. Finite element methods for derivative pricing. Zbl 1275.91005
Hilber, Norbert; Reichmann, Oleg; Schwab, Christoph; Winter, Christoph
28
2013
Multilevel Monte Carlo method for parabolic stochastic partial differential equations. Zbl 1272.65009
Barth, Andrea; Lang, Annika; Schwab, Christoph
27
2013
Hierarchic models for laminated plates and shells. Zbl 0959.74061
Actis, Ricardo L.; Szabo, Barna A.; Schwab, Christoph
27
1999
Natural boundary element methods for the electric field integral equation on polyhedra. Zbl 1010.78014
Hiptmair, Ralf; Schwab, Christoph
27
2002
A finite volume discontinuous Galerkin scheme for nonlinear convection-diffusion problems. Zbl 1098.65095
Dolejší, Vít; Feistauer, Miloslav; Schwab, Christoph
27
2002
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
26
2016
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
26
2015
\(hp\)-dGFEM for second order elliptic problems in polyhedra. II: Exponential convergence. Zbl 1457.65215
Schötzau, D.; Schwab, Ch.; Wihler, T. P.
26
2013
Multilevel frames for sparse tensor product spaces. Zbl 1151.65010
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
26
2008
Quadrature for \(hp\)-Galerkin BEM in \(\mathbb{R}^3\). Zbl 0901.65069
Sauter, Stefan A.; Schwab, Christoph
25
1997
Two-scale FEM for homogenization problems. Zbl 1070.65572
Matache, Ana-Maria; Schwab, Christoph
25
2002
Fourier mode analysis of layers in shallow shell deformations. Zbl 0983.74039
Pitkäranta, Juhani; Matache, Ana-Maria; Schwab, Christoph
25
2001
Exponential convergence of {\(hp\)} quadrature for integral operators with Gevrey kernels. Zbl 1269.65143
Chernov, Alexey; Von Petersdorff, Tobias; Schwab, Christoph
25
2011
Deep ReLU networks and high-order finite element methods. Zbl 1452.65354
Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph
25
2020
Analytic regularity of Stokes flow on polygonal domains in countably weighted Sobolev spaces. Zbl 1121.35098
Guo, Benqi; Schwab, Christoph
25
2006
Sparsity in Bayesian inversion of parametric operator equations. Zbl 1291.65033
Schillings, Claudia; Schwab, Christoph
24
2014
Large deformation shape uncertainty quantification in acoustic scattering. Zbl 1402.35321
Hiptmair, R.; Scarabosio, L.; Schillings, C.; Schwab, Ch.
23
2018
Analytic regularity and GPC approximation for control problems constrained by linear parametric elliptic and parabolic PDEs. Zbl 1278.49043
Kunoth, Angela; Schwab, Christoph
23
2013
A posteriori error estimation for hierarchic models of elliptic boundary value problems on thin domains. Zbl 0846.65056
Babuška, Ivo; Schwab, Christoph
23
1996
\(N\)-term Wiener chaos approximation rates for elliptic PDEs with lognormal Gaussian random inputs. Zbl 1294.65010
Hoang, Viet Ha; Schwab, Christoph
23
2014
Higher order quasi-Monte Carlo integration for holomorphic, parametric operator equations. Zbl 1398.65031
Dick, Josef; Le Gia, Quoc T.; Schwab, Christoph
23
2016
Sparse-grid, reduced-basis Bayesian inversion: nonaffine-parametric nonlinear equations. Zbl 1349.62076
Chen, Peng; Schwab, Christoph
22
2016
On some aspects of the discontinuous Galerkin finite element method for conservation laws. Zbl 1013.65108
Dolejší, Vít; Feistauer, Miloslav; Schwab, Christoph
22
2003
\(hp\)-dGFEM for second-order elliptic problems in polyhedra I: Stability on geometric meshes. Zbl 1276.65084
Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas Pascal
22
2013
Boundary elements methods. Analysis, numerics and implementation of fast algorithms. (Randelementmethoden. Analyse, Numerik und Implementierung schneller Algorithmen.) Zbl 1059.65108
Sauter, Stefan; Schwab, Christoph
21
2004
Exponential convergence of the \(hp\)-DGFEM for diffusion problems. Zbl 1059.65095
Wihler, Thomas P.; Frauenfelder, Philipp; Schwab, Christoph
21
2003
Generalized \(p\)-FEM in homogenization. Zbl 0964.65125
Matache, Ana-Maria; Babuška, Ivo; Schwab, Christoph
21
2000
Numerical methods for Lévy processes. Zbl 1195.91175
Hilber, N.; Reich, N.; Schwab, C.; Winter, C.
21
2009
Scaling limits in computational Bayesian inversion. Zbl 1358.65013
Schillings, Claudia; Schwab, Christoph
20
2016
Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations. Zbl 1358.65034
Rauhut, Holger; Schwab, Christoph
20
2017
Computational higher order quasi-Monte Carlo integration. Zbl 1356.65003
Gantner, Robert N.; Schwab, Christoph
20
2016
HP90: A general and flexible Fortran 90 \(hp\)-FE code. Zbl 0912.68014
Demkowicz, L.; Gerdes, K.; Schwab, C.; Bajer, A.; Walsh, T.
20
1998
First-order \(k\)-th moment finite element analysis of nonlinear operator equations with stochastic data. Zbl 1281.65008
Chernov, Alexey; Schwab, Christoph
20
2013
DNN expression rate analysis of high-dimensional PDEs: application to option pricing. Zbl 1500.35009
Elbrächter, Dennis; Grohs, Philipp; Jentzen, Arnulf; Schwab, Christoph
10
2022
Exponential ReLU DNN expression of holomorphic maps in high dimension. Zbl 1500.41008
Opschoor, J. A. A.; Schwab, Ch.; Zech, J.
6
2022
Tensor rank bounds for point singularities in \(\mathbb{R}^3\). Zbl 1487.35019
Marcati, C.; Rakhuba, M.; Schwab, Ch.
1
2022
Deep ReLU network expression rates for option prices in high-dimensional, exponential Lévy models. Zbl 1475.91356
Gonon, Lukas; Schwab, Christoph
3
2021
Shape holomorphy of the Calderón projector for the Laplacian in \(\mathbb{R}^2\). Zbl 1472.45011
Henríquez, Fernando; Schwab, Christoph
2
2021
Quasi-Monte Carlo Bayesian estimation under Besov priors in elliptic inverse problems. Zbl 1478.65107
Herrmann, Lukas; Keller, Magdalena; Schwab, Christoph
1
2021
Space-time discontinuous Galerkin approximation of acoustic waves with point singularities. Zbl 07528299
Bansal, Pratyuksh; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph
1
2021
Deep ReLU networks and high-order finite element methods. Zbl 1452.65354
Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph
25
2020
Convergence rates of high dimensional Smolyak quadrature. Zbl 07240638
Zech, Jakob; Schwab, Christoph
7
2020
Domain uncertainty quantification in computational electromagnetics. Zbl 1483.65010
Aylwin, Ruben; Jerez-Hanckes, Carlos; Schwab, Christoph; Zech, Jakob
5
2020
Multilevel approximation of Gaussian random fields: fast simulation. Zbl 1448.60110
Herrmann, Lukas; Kirchner, Kristin; Schwab, Christoph
5
2020
Deep neural network expression of posterior expectations in Bayesian PDE inversion. Zbl 1453.35191
Herrmann, Lukas; Schwab, Christoph; Zech, Jakob
4
2020
Exponential convergence in \(H^1\) of hp-FEM for Gevrey regularity with isotropic singularities. Zbl 1433.65290
Feischl, M.; Schwab, Ch.
3
2020
Multilevel quasi-Monte Carlo uncertainty quantification for advection-diffusion-reaction. Zbl 07240088
Herrmann, Lukas; Schwab, Christoph
2
2020
Analytic regularity for the incompressible Navier-Stokes equations in polygons. Zbl 1447.35252
Marcati, Carlo; Schwab, Christoph
2
2020
Analysis of a multilevel Markov chain Monte Carlo finite element method for Bayesian inversion of log-normal diffusions. Zbl 1491.65010
Hoang, Viet Ha; Quek, Jia Hao; Schwab, Christoph
1
2020
Deep learning in high dimension: neural network expression rates for generalized polynomial chaos expansions in UQ. Zbl 1478.68309
Schwab, Christoph; Zech, Jakob
35
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
13
2019
QMC integration for lognormal-parametric, elliptic PDEs: local supports and product weights. Zbl 07006664
Herrmann, Lukas; Schwab, Christoph
9
2019
Multilevel quasi-Monte Carlo integration with product weights for elliptic PDEs with lognormal coefficients. Zbl 07135561
Herrmann, Lukas; Schwab, Christoph
8
2019
Multilevel approximation of parametric and stochastic PDES. Zbl 1427.65386
Zech, Jakob; Dũng, Dinh; Schwab, Christoph
8
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
7
2019
Improved efficiency of a multi-index FEM for computational uncertainty quantification. Zbl 07100359
Dick, Josef; Feischl, Michael; Schwab, Christoph
3
2019
Uncertainty quantification for spectral fractional diffusion: sparsity analysis of parametric solutions. Zbl 1469.65170
Herrmann, Lukas; Schwab, Christoph; Zech, Jakob
2
2019
Large deformation shape uncertainty quantification in acoustic scattering. Zbl 1402.35321
Hiptmair, R.; Scarabosio, L.; Schillings, C.; Schwab, Ch.
23
2018
Shape holomorphy of the stationary Navier-Stokes equations. Zbl 1390.35227
Cohen, Albert; Schwab, Christoph; Zech, Jakob
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
15
2018
Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions. Zbl 1382.65409
Kazeev, Vladimir; Schwab, Christoph
15
2018
Numerical analysis of lognormal diffusions on the sphere. Zbl 1402.60062
Herrmann, Lukas; Lang, Annika; Schwab, Christoph
9
2018
Multilevel QMC with product weights for affine-parametric, elliptic PDEs. Zbl 1405.65008
Gantner, Robert N.; Herrmann, Lukas; Schwab, Christoph
9
2018
Space-time \(hp\)-approximation of parabolic equations. Zbl 1404.65118
Devaud, Denis; Schwab, Christoph
5
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
4
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
Discontinuous Galerkin methods for acoustic wave propagation in polygons. Zbl 1406.65080
Müller, Fabian; Schötzau, Dominik; Schwab, Christoph
2
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 higher-order quasi-Monte Carlo Bayesian estimation. Zbl 1375.65169
Dick, Josef; Gantner, Robert N.; Le Gia, Quoc T.; Schwab, Christoph
30
2017
Multilevel quasi-Monte Carlo methods for lognormal diffusion problems. Zbl 1368.65005
Kuo, Frances Y.; Scheichl, Robert; Schwab, Christoph; Sloan, Ian H.; Ullmann, Elisabeth
29
2017
Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations. Zbl 1358.65034
Rauhut, Holger; Schwab, Christoph
20
2017
Electromagnetic wave scattering by random surfaces: shape holomorphy. Zbl 1381.35170
Jerez-Hanckes, Carlos; Schwab, Christoph; Zech, Jakob
20
2017
Fully discrete approximation of parametric and stochastic elliptic PDEs. Zbl 1377.65005
Bachmayr, Markus; Cohen, Albert; Dũng, Dinh; Schwab, Christoph
14
2017
Covariance regularity and \(\mathcal {H}\)-matrix approximation for rough random fields. Zbl 1362.65124
Dölz, J.; Harbrecht, H.; Schwab, Ch.
13
2017
Fractional space-time variational formulations of (Navier-) Stokes equations. Zbl 1375.35329
Schwab, Christoph; Stevenson, Rob
11
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
10
2017
Electromagnetic wave scattering by random surfaces: uncertainty quantification via sparse tensor boundary elements. Zbl 1433.78013
Jerez-Hanckes, Carlos; Schwab, Christoph
9
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
7
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
26
2016
Higher order quasi-Monte Carlo integration for holomorphic, parametric operator equations. Zbl 1398.65031
Dick, Josef; Le Gia, Quoc T.; Schwab, Christoph
23
2016
Sparse-grid, reduced-basis Bayesian inversion: nonaffine-parametric nonlinear equations. Zbl 1349.62076
Chen, Peng; Schwab, Christoph
22
2016
Scaling limits in computational Bayesian inversion. Zbl 1358.65013
Schillings, Claudia; Schwab, Christoph
20
2016
Computational higher order quasi-Monte Carlo integration. Zbl 1356.65003
Gantner, Robert N.; Schwab, Christoph
20
2016
Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007
Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana
17
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.
13
2016
Adaptive sparse grid model order reduction for fast Bayesian estimation and inversion. Zbl 1337.65012
Chen, Peng; Schwab, Christoph
11
2016
\(hp\)-dGFEM for second-order mixed elliptic problems in polyhedra. Zbl 1332.65173
Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas P.
10
2016
Sparse adaptive tensor Galerkin approximations of stochastic PDE-constrained control problems. Zbl 1398.65252
Kunoth, Angela; Schwab, Christoph
10
2016
Multilevel Monte Carlo front-tracking for random scalar conservation laws. Zbl 1350.65008
Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska
6
2016
Finite elements with mesh refinement for elastic wave propagation in polygons. Zbl 1457.65130
Müller, Fabian; Schwab, Christoph
3
2016
Numerical approximation of statistical solutions of planar, incompressible flows. Zbl 1416.76184
Leonardi, Filippo; Mishra, Siddhartha; 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
Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs. Zbl 1327.65251
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
69
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.
62
2015
Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations. Zbl 1328.60126
Lang, Annika; Schwab, Christoph
57
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.
45
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
26
2015
Sparse-grid, reduced-basis Bayesian inversion. Zbl 1425.65020
Chen, Peng; Schwab, Christoph
17
2015
Finite elements with mesh refinement for wave equations in polygons. Zbl 1311.65126
Müller, Fabian L.; Schwab, Christoph
10
2015
Tensor approximation of stationary distributions of chemical reaction networks. Zbl 1322.60155
Kazeev, Vladimir; Schwab, Christoph
9
2015
Exponential convergence for \(hp\)-version and spectral finite element methods for elliptic problems in polyhedra. Zbl 1322.65099
Schötzau, Dominik; Schwab, Christoph
8
2015
Fast QMC matrix-vector multiplication. Zbl 1320.65008
Dick, Josef; Kuo, Frances Y.; Le Gia, Quoc T.; Schwab, Christoph
5
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
71
2014
Adaptive stochastic Galerkin FEM. Zbl 1296.65157
Eigel, Martin; Gittelson, Claude Jeffrey; Schwab, Christoph; Zander, Elmar
57
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
49
2014
Sparsity in Bayesian inversion of parametric operator equations. Zbl 1291.65033
Schillings, Claudia; Schwab, Christoph
24
2014
\(N\)-term Wiener chaos approximation rates for elliptic PDEs with lognormal Gaussian random inputs. Zbl 1294.65010
Hoang, Viet Ha; Schwab, Christoph
23
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
Multilevel Monte Carlo finite element methods for stochastic elliptic variational inequalities. Zbl 1320.65176
Kornhuber, Ralf; Schwab, Christoph; Wolf, Maren-Wanda
8
2014
Space-time variational saddle point formulations of Stokes and Navier-Stokes equations. Zbl 1295.35354
Guberovic, Rafaela; Schwab, Christoph; Stevenson, Rob
8
2014
Exponential convergence of the \(hp\) version of isogeometric analysis in 1D. Zbl 1282.65090
Buffa, Annalisa; Sangalli, Giancarlo; Schwab, Christoph
8
2014
Efficient resolution of anisotropic structures. Zbl 1317.65251
Dahmen, Wolfgang; Huang, Chunyan; Kutyniok, Gitta; Lim, Wang-Q; Schwab, Christoph; Welper, Gerrit
7
2014
Optimality of adaptive Galerkin methods for random parabolic partial differential equations. Zbl 1293.35372
Gittelson, Claude Jeffrey; Andreev, Roman; Schwab, Christoph
6
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
4
2014
Sparse, adaptive Smolyak quadratures for Bayesian inverse problems. Zbl 1278.65008
Schillings, Claudia; Schwab, Christoph
53
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.
36
2013
Computational methods for quantitative finance. Finite element methods for derivative pricing. Zbl 1275.91005
Hilber, Norbert; Reichmann, Oleg; Schwab, Christoph; Winter, Christoph
28
2013
Multilevel Monte Carlo method for parabolic stochastic partial differential equations. Zbl 1272.65009
Barth, Andrea; Lang, Annika; Schwab, Christoph
27
2013
\(hp\)-dGFEM for second order elliptic problems in polyhedra. II: Exponential convergence. Zbl 1457.65215
Schötzau, D.; Schwab, Ch.; Wihler, T. P.
26
2013
Analytic regularity and GPC approximation for control problems constrained by linear parametric elliptic and parabolic PDEs. Zbl 1278.49043
Kunoth, Angela; Schwab, 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
22
2013
First-order \(k\)-th moment finite element analysis of nonlinear operator equations with stochastic data. Zbl 1281.65008
Chernov, Alexey; Schwab, Christoph
20
2013
Analytic regularity and polynomial approximation of stochastic, parametric elliptic multiscale PDEs. Zbl 1259.49059
Hoang, V. H.; Schwab, CH.
18
2013
Uncertainty quantification in computational fluid dynamics. Zbl 1276.76005
18
2013
Multilevel Monte Carlo methods for stochastic elliptic multiscale PDEs. Zbl 1296.65008
Abdulle, Assyr; Barth, Andrea; Schwab, Christoph
16
2013
Sparse adaptive approximation of high dimensional parametric initial value problems. Zbl 1272.34012
Hansen, Markus; Schwab, Christoph
16
2013
...and 184 more Documents
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Cited by 4,013 Authors

156 Schwab, Christoph
52 Harbrecht, Helmut
40 Hiptmair, Ralf
38 Nobile, Fabio
34 Melenk, Jens Markus
34 Praetorius, Dirk
31 Tempone, Raúl F.
30 Schötzau, Dominik
29 Demkowicz, Leszek F.
27 Stevenson, Rob P.
25 Sauter, Stefan A.
25 Xenophontos, Christos A.
24 Cockburn, Bernardo
23 Abdulle, Assyr
23 Houston, Paul
23 Wihler, Thomas Pascal
22 Cohen, Albert
22 Schneider, Reinhold
21 Dolejší, Vít
21 Mishra, Siddhartha
21 Nouy, Anthony
20 Dick, Josef
20 Kuo, Frances Y.
20 Scheichl, Robert
19 Baccouch, Mahboub
19 Bespalov, Alexei
19 Chernov, Alexey
19 Perugia, Ilaria
19 Süli, Endre E.
19 Yi, Lijun
18 Chen, Peng
18 Chung, Tsz Shun Eric
18 Dahmen, Wolfgang A.
18 Feistauer, Miloslav
18 Khoromskiĭ, Boris Nikolaevich
18 Nicaise, Serge
18 Sloan, Ian Hugh
17 Feischl, Michael
17 Karniadakis, George Em
17 Marzouk, Youssef M.
17 Wheeler, Mary Fanett
16 Ainsworth, Mark
16 Ern, Alexandre
16 Georgoulis, Emmanuil H.
16 Giani, Stefano
16 Hoang, Viet Ha
16 Li, Jichun
15 Heuer, Norbert
15 Nuyens, Dirk
15 Steinbach, Olaf
15 Stephan, Ernst Peter
14 Antonietti, Paola Francesca
14 Bachmayr, Markus
14 Buffa, Annalisa
14 Düster, Alexander
14 Goda, Takashi
14 Graham, Ivan G.
14 Narayan, Akil C.
14 Peters, Michael D.
14 Rank, Ernst
14 Shu, Chi-Wang
14 Urban, Karsten
13 Eigel, Martin
13 Ghattas, Omar N.
13 Griebel, Michael
13 Hakula, Harri
13 Karkulik, Michael
13 Spence, Euan A.
13 Verani, Marco
13 Zhang, Qiang
13 Zhang, Zhimin
12 Claeys, Xavier
12 Dahlke, Stephan
12 Führer, Thomas
12 Hackbusch, Wolfgang
12 Herrmann, Lukas
12 Jentzen, Arnulf
12 Khan, Arbaz
12 Lang, Annika
12 Li, Hengguang
12 Mascotto, Lorenzo
12 Schmidt, Kersten
12 Schöberl, Joachim
12 Webster, Clayton G.
11 Barth, Andrea
11 Beuchler, Sven
11 DeVore, Ronald A.
11 Di Pietro, Daniele Antonio
11 Dinh Dũng
11 Doostan, Alireza
11 Efendiev, Yalchin R.
11 Gunzburger, Max D.
11 Kanschat, Guido
11 Kressner, Daniel
11 Law, Kody J. H.
11 Li, Huiyuan
11 Matthies, Hermann Georg
11 Rivière, Beatrice M.
11 Rukavishnikov, Viktor Anatol’evich
11 Tamellini, Lorenzo
...and 3,913 more Authors
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Cited in 330 Serials

319 Computer Methods in Applied Mechanics and Engineering
255 Journal of Computational Physics
181 Journal of Scientific Computing
158 Numerische Mathematik
138 Computers & Mathematics with Applications
136 Journal of Computational and Applied Mathematics
131 SIAM Journal on Scientific Computing
114 Mathematics of Computation
113 Applied Numerical Mathematics
87 SIAM Journal on Numerical Analysis
81 SIAM/ASA Journal on Uncertainty Quantification
76 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
73 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
66 Applied Mathematics and Computation
62 Advances in Computational Mathematics
49 Engineering Analysis with Boundary Elements
41 International Journal for Numerical Methods in Engineering
33 BIT
30 Numerical Methods for Partial Differential Equations
29 Computers and Fluids
29 Foundations of Computational Mathematics
28 Journal of Complexity
28 Computational Mechanics
26 Computational Methods in Applied Mathematics
25 Constructive Approximation
25 Multiscale Modeling & Simulation
24 Numerical Algorithms
22 Calcolo
21 Journal of Mathematical Analysis and Applications
20 Mathematical Methods in the Applied Sciences
20 Journal of Numerical Mathematics
18 Mathematics and Computers in Simulation
17 Journal of Integral Equations and Applications
17 Communications in Computational Physics
16 Computing
16 Numerical Functional Analysis and Optimization
16 International Journal of Computer Mathematics
15 Applicable Analysis
15 Journal of Approximation Theory
15 SIAM Journal on Mathematical Analysis
13 Applications of Mathematics
13 Applied Mathematical Modelling
13 International Journal of Numerical Analysis and Modeling
13 Science China. Mathematics
13 Stochastic and Partial Differential Equations. Analysis and Computations
12 Inverse Problems
12 Integral Equations and Operator Theory
12 Applied and Computational Harmonic Analysis
12 Numerical Linear Algebra with Applications
12 Computational Geosciences
12 Analysis and Applications (Singapore)
11 Computational and Applied Mathematics
11 Computing and Visualization in Science
11 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
10 Journal of Differential Equations
10 Stochastic Processes and their Applications
10 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
10 Archives of Computational Methods in Engineering
9 Communications in Numerical Methods in Engineering
9 Finance and Stochastics
9 Statistics and Computing
8 Archive for Rational Mechanics and Analysis
8 Vietnam Journal of Mathematics
8 International Journal of Theoretical and Applied Finance
8 Quantitative Finance
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Discrete and Continuous Dynamical Systems. Series S
8 Communications on Applied Mathematics and Computation
7 International Journal for Numerical Methods in Fluids
7 Journal of Elasticity
7 Linear Algebra and its Applications
7 International Journal of Computational Methods
6 Journal of Fluid Mechanics
6 Mathematical and Computer Modelling
6 SIAM Journal on Matrix Analysis and Applications
6 ETNA. Electronic Transactions on Numerical Analysis
5 Journal of Engineering Mathematics
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Applied Mathematics Letters
5 The Annals of Applied Probability
5 SIAM Review
5 Computational Optimization and Applications
5 Bernoulli
5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
5 Engineering Computations
5 Discrete and Continuous Dynamical Systems. Series B
5 Journal of Applied Mathematics and Computing
5 Acta Numerica
4 Communications in Mathematical Physics
4 Journal of Multivariate Analysis
4 SIAM Journal on Control and Optimization
4 Communications in Partial Differential Equations
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 SIAM Journal on Applied Mathematics
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Journal of Nonlinear Science
4 Theory of Probability and Mathematical Statistics
4 The Journal of Fourier Analysis and Applications
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 European Journal of Mechanics. A. Solids
...and 230 more Serials
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Cited in 49 Fields

2,720 Numerical analysis (65-XX)
1,506 Partial differential equations (35-XX)
583 Fluid mechanics (76-XX)
480 Probability theory and stochastic processes (60-XX)
382 Mechanics of deformable solids (74-XX)
212 Approximations and expansions (41-XX)
210 Optics, electromagnetic theory (78-XX)
170 Statistics (62-XX)
128 Calculus of variations and optimal control; optimization (49-XX)
121 Integral equations (45-XX)
118 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
106 Computer science (68-XX)
81 Harmonic analysis on Euclidean spaces (42-XX)
77 Linear and multilinear algebra; matrix theory (15-XX)
76 Functional analysis (46-XX)
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27 Real functions (26-XX)
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