## Schwab, Christoph

Compute Distance To:
 Author ID: schwab.christoph Published as: Schwab, Christoph; Schwab, Ch.; Schwab, C.; Schwab, CH. more...less Homepage: https://www.math.ethz.ch/sam/the-institute/people/christoph-schwab.html External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 299 Publications since 1985, including 4 Books 6 Contributions as Editor Co-Authors: 177 Co-Authors with 289 Joint Publications 3,935 Co-Co-Authors
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### Co-Authors

 14 single-authored 24 Schötzau, Dominik 15 Matache, Ana-Maria 12 Herrmann, Lukas 12 Mishra, Siddhartha 10 Gerdes, Klaus 10 Kuo, Frances Y. 10 Wendland, Wolfgang L. 10 Zech, Jakob 9 Melenk, Jens Markus 9 von Petersdorff, Tobias 8 Dick, Josef 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 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 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 Marcati, Carlo 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 Moiola, Andrea 2 Pentenrieder, Bastian 2 Perugia, Ilaria 2 Quek, Jia Hao 2 Rakhuba, Maxim V. 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 Bansal, Pratyuksh 1 Barrett, John W. 1 Başar, Yavuz ...and 85 more Co-Authors
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### 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 8 IMA Journal of Numerical Analysis 8 Journal of Computational Physics 8 SIAM Journal on Scientific Computing 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 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 3 Constructive Approximation 3 Finance and Stochastics 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 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
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### Fields

 243 Numerical analysis (65-XX) 159 Partial differential equations (35-XX) 71 Probability theory and stochastic processes (60-XX) 41 Fluid mechanics (76-XX) 31 Mechanics of deformable solids (74-XX) 23 Approximations and expansions (41-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Integral equations (45-XX) 14 Statistics (62-XX) 10 Optics, electromagnetic theory (78-XX) 9 Operator theory (47-XX) 9 Computer science (68-XX) 6 General and overarching topics; collections (00-XX) 6 Functions of a complex variable (30-XX) 6 Ordinary differential equations (34-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Potential theory (31-XX) 5 Functional analysis (46-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 2 Number theory (11-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

281 Publications have been cited 6,377 times in 3,346 Documents Cited by Year
$$p$$- and $$hp$$-finite element methods. Theory and applications in solid and fluid mechanics. Zbl 0910.73003
Schwab, Ch.
1998
Discontinuous $$hp$$-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067
Houston, Paul; Schwab, Christoph; Süli, Endre
2002
Boundary element methods. Zbl 1215.65183
Sauter, Stefan A.; Schwab, Christoph
2011
Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDE’s. Zbl 1219.35379
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
2011
Finite elements for elliptic problems with stochastic coefficients. Zbl 1143.65392
Frauenfelder, Philipp; Schwab, Christoph; Todor, Radu Alexandru
2005
Karhunen-Loève approximation of random fields by generalized fast multipole methods. Zbl 1104.65008
2006
Convergence rates of best $$N$$-term Galerkin approximations for a class of elliptic SPDEs. Zbl 1206.60064
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
2010
Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients. Zbl 1230.65006
Barth, Andrea; Schwab, Christoph; Zollinger, Nathaniel
2011
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
2002
Local discontinuous Galerkin methods for the Stokes system. Zbl 1032.65127
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik; Schwab, Christoph
2002
Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs. Zbl 1269.65010
Schwab, Christoph; Gittelson, Claude Jeffrey
2011
Time discretization of parabolic problems by the $$hp$$-version of the discontinuous Galerkin finite element method. Zbl 0978.65091
Schötzau, Dominik; Schwab, Christoph
2000
Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients. Zbl 1120.65004
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.
2012
Space-time adaptive wavelet methods for parabolic evolution problems. Zbl 1198.65249
Schwab, Christoph; Stevenson, Rob
2009
The $$p$$ and $$hp$$ versions of the finite element method for problems with boundary layers. Zbl 0853.65115
Schwab, Christoph; Suri, Manil
1996
Mixed hp-DGFEM for incompressible flows. Zbl 1055.76032
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea
2003
Tensor-structured Galerkin approximation of parametric and stochastic elliptic PDEs. Zbl 1243.65009
Khoromskij, Boris N.; Schwab, Christoph
2011
High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs. Zbl 1298.65022
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
2014
Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs. Zbl 1327.65251
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
2015
An $$hp$$ a priori error analysis of the DG time-stepping for initial value problems. Zbl 1012.65084
Schötzau, Dominik; Schwab, Christoph
2000
2003
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.
2015
On numerical cubatures of singular surface integrals in boundary element methods. Zbl 0761.65012
Schwab, Christoph; Wendland, Wolfgang L.
1992
Sparse high order FEM for elliptic sPDEs. Zbl 1157.65481
Bieri, Marcel; Schwab, Christoph
2009
Stabilized $$hp$$-finite element methods for first-order hyperbolic problems. Zbl 0957.65103
Houston, Paul; Schwab, Christoph; Süli, Endre
2000
Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations. Zbl 1328.60126
Lang, Annika; Schwab, Christoph
2015
Schillings, Claudia; Schwab, Christoph
2013
Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data. Zbl 1271.65018
Mishra, Siddhartha; Schwab, Christoph
2012
Adaptive stochastic Galerkin FEM. Zbl 1296.65157
Eigel, Martin; Gittelson, Claude Jeffrey; Schwab, Christoph; Zander, Elmar
2014
Wavelet approximations for first kind boundary integral equations on polygons. Zbl 0863.65074
von Petersdorff, Tobias; Schwab, Christoph
1996
Adaptive Petrov-Galerkin methods for first order transport equations. Zbl 1260.65091
Dahmen, Wolfgang; Huang, Chunyan; Schwab, Christoph; Welper, Gerrit
2012
Boundary element methods for Maxwell transmission problems in Lipschitz domains. Zbl 1071.65160
Buffa, Annalisa; Hiptmair, Ralf; von Petersdorff, Tobias; Schwab, Christoph
2003
Fast deterministic pricing of options on Lévy driven assets. Zbl 1072.60052
Matache, Ana-Maria; von Petersdorff, Tobias; Schwab, Christoph
2004
Numerical solution of parabolic equations in high dimensions. Zbl 1083.65095
von Petersdorff, Tobias; Schwab, Christoph
2004
Sparse second moment analysis for elliptic problems in stochastic domains. Zbl 1146.65007
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
2008
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.
2012
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
2014
Wavelet Galerkin pricing of American options on Lévy driven assets. Zbl 1134.91450
Matache, Ana-Maria; Nitsche, Pál-Andrej; Schwab, Christoph
2005
Sparse deterministic approximation of Bayesian inverse problems. Zbl 1236.62014
Schwab, C.; Stuart, A. M.
2012
Boundary element methods for Maxwell’s equations on non-smooth domains. Zbl 1019.65094
Buffa, Annalisa; Costabel, Martin; Schwab, Christoph
2002
Sparse finite elements for stochastic elliptic problems — higher order moments. Zbl 1044.65006
Schwab, Ch.; Todor, R. A.
2003
Fully discrete $$hp$$-finite elements: Fast quadrature. Zbl 0985.65141
Melenk, J. M.; Gerdes, K.; Schwab, Ch.
2001
Wavelet Galerkin algorithms for boundary integral equations. Zbl 0943.65134
Lage, Christian; Schwab, Christoph
1999
High-dimensional finite elements for elliptic problems with multiple scales. Zbl 1074.65135
Viet Ha Hoang; Schwab, Christoph
2005
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.
2015
An adaptive wavelet method for solving high-dimensional elliptic PDEs. Zbl 1205.65313
Dijkema, Tammo Jan; Schwab, Christoph; Stevenson, Rob
2009
A posteriori modeling error estimation for hierarchic plate models. Zbl 0856.73031
Schwab, Christoph
1996
Kernel properties and representations of boundary integral operators. Zbl 0805.35168
Schwab, Christoph; Wendland, Wolfgang L.
1992
Existence of global weak solutions for some polymeric flow models. Zbl 1161.76453
Barrett, John W.; Schwab, Christoph; Süli, Endre
2005
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
2013
$$hp$$-discontinuous Galerkin time stepping for parabolic problems. Zbl 0992.65103
Werder, T.; Gerdes, K.; Schötzau, Dominik; Schwab, Christoph
2001
Exponential convergence of $$hp$$-FEM for Maxwell equations with weighted regularization in polygonal domains. Zbl 1078.65089
Costabel, Martin; Dauge, Monique; Schwab, Christoph
2005
Complexity analysis of accelerated MCMC methods for Bayesian inversion. Zbl 1288.65004
Hoang, Viet Ha; Schwab, Christoph; Stuart, Andrew M.
2013
Sparse tensor discretization of elliptic SPDEs. Zbl 1205.35346
Bieri, Marcel; Andreev, Roman; Schwab, Christoph
2009
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.
2011
The $$hp$$ finite element method for problems in mechanics with boundary layers. Zbl 0959.74073
Schwab, Christoph; Suri, Manil; Xenophontos, C.
1998
Sparse finite element methods for operator equations with stochastic data. Zbl 1164.65300
von Petersdorff, Tobias; Schwab, Christoph
2006
Fast numerical solution of parabolic integro-differential equations with applications in finance. Zbl 1098.65123
Matache, Ana-Maria; Schwab, Christoph; Wihler, Thomas P.
2005
Locking effects in the finite element approximation of plate models. Zbl 0827.73063
Suri, Manil; Babuška, Ivo; Schwab, Christoph
1995
Multiwavelets for second-kind integral equations. Zbl 0891.65121
Von Petersdorff, Tobias; Schwab, Christoph; Schneider, Reinhold
1997
$$hp$$ FEM for reaction-diffusion equations. I: Robust exponential convergence. Zbl 0972.65093
Melenk, Jens Markus; Schwab, Christoph
1998
Deep learning in high dimension: neural network expression rates for generalized polynomial chaos expansions in UQ. Zbl 1478.68309
Schwab, Christoph; Zech, Jakob
2019
Heterogeneous multiscale FEM for diffusion problems on rough surfaces. Zbl 1160.65337
Abdulle, Assyr; Schwab, Christoph
2005
Variable order composite quadrature of singular and nearly singular integrals. Zbl 0813.65057
Schwab, Christoph
1994
Natural boundary element methods for the electric field integral equation on polyhedra. Zbl 1010.78014
Hiptmair, Ralf; Schwab, Christoph
2002
A finite volume discontinuous Galerkin scheme for nonlinear convection-diffusion problems. Zbl 1098.65095
Dolejší, Vít; Feistauer, Miloslav; Schwab, Christoph
2002
Computational methods for quantitative finance. Finite element methods for derivative pricing. Zbl 1275.91005
Hilber, Norbert; Reichmann, Oleg; Schwab, Christoph; Winter, Christoph
2013
Multilevel frames for sparse tensor product spaces. Zbl 1151.65010
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
2008
Multilevel Monte Carlo method for parabolic stochastic partial differential equations. Zbl 1272.65009
Barth, Andrea; Lang, Annika; Schwab, Christoph
2013
Multilevel higher-order quasi-Monte Carlo Bayesian estimation. Zbl 1375.65169
Dick, Josef; Gantner, Robert N.; Le Gia, Quoc T.; Schwab, Christoph
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
2017
Two-scale FEM for homogenization problems. Zbl 1070.65572
Matache, Ana-Maria; Schwab, Christoph
2002
$$hp$$-dGFEM for second order elliptic problems in polyhedra. II: Exponential convergence. Zbl 1457.65215
Schötzau, D.; Schwab, Ch.; Wihler, T. P.
2013
Hierarchic models for laminated plates and shells. Zbl 0959.74061
Actis, Ricardo L.; Szabo, Barna A.; Schwab, Christoph
1999
Quadrature for $$hp$$-Galerkin BEM in $$\mathbb{R}^3$$. Zbl 0901.65069
Sauter, Stefan A.; Schwab, Christoph
1997
Analytic regularity of Stokes flow on polygonal domains in countably weighted Sobolev spaces. Zbl 1121.35098
Guo, Benqi; Schwab, Christoph
2006
Fourier mode analysis of layers in shallow shell deformations. Zbl 0983.74039
Pitkäranta, Juhani; Matache, Ana-Maria; Schwab, Christoph
2001
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
2015
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
2016
$$N$$-term Wiener chaos approximation rates for elliptic PDEs with lognormal Gaussian random inputs. Zbl 1294.65010
Hoang, Viet Ha; Schwab, Christoph
2014
Analytic regularity and GPC approximation for control problems constrained by linear parametric elliptic and parabolic PDEs. Zbl 1278.49043
Kunoth, Angela; Schwab, Christoph
2013
Exponential convergence of {$$hp$$} quadrature for integral operators with Gevrey kernels. Zbl 1269.65143
Chernov, Alexey; Von Petersdorff, Tobias; Schwab, Christoph
2011
On some aspects of the discontinuous Galerkin finite element method for conservation laws. Zbl 1013.65108
Dolejší, Vít; Feistauer, Miloslav; Schwab, Christoph
2003
Sparsity in Bayesian inversion of parametric operator equations. Zbl 1291.65033
Schillings, Claudia; Schwab, Christoph
2014
A posteriori error estimation for hierarchic models of elliptic boundary value problems on thin domains. Zbl 0846.65056
Babuška, Ivo; Schwab, Christoph
1996
Generalized $$p$$-FEM in homogenization. Zbl 0964.65125
Matache, Ana-Maria; Babuška, Ivo; Schwab, Christoph
2000
Boundary elements methods. Analysis, numerics and implementation of fast algorithms. (Randelementmethoden. Analyse, Numerik und Implementierung schneller Algorithmen.) Zbl 1059.65108
Sauter, Stefan; Schwab, Christoph
2004
Higher order quasi-Monte Carlo integration for holomorphic, parametric operator equations. Zbl 1398.65031
Dick, Josef; Le Gia, Quoc T.; Schwab, Christoph
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
1999
Exponential convergence of the $$hp$$-DGFEM for diffusion problems. Zbl 1059.65095
Wihler, Thomas P.; Frauenfelder, Philipp; Schwab, Christoph
2003
Numerical methods for Lévy processes. Zbl 1195.91175
Hilber, N.; Reich, N.; Schwab, C.; Winter, C.
2009
$$hp$$-dGFEM for second-order elliptic problems in polyhedra I: Stability on geometric meshes. Zbl 1276.65084
Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas Pascal
2013
Sparse finite element approximation of high-dimensional transport-dominated diffusion problems. Zbl 1159.65094
Schwab, Christoph; Süli, Endre; Todor, Radu Alexandru
2008
Sparse-grid, reduced-basis Bayesian inversion: nonaffine-parametric nonlinear equations. Zbl 1349.62076
Chen, Peng; Schwab, Christoph
2016
Scaling limits in computational Bayesian inversion. Zbl 1358.65013
Schillings, Claudia; Schwab, Christoph
2016
Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations. Zbl 1358.65034
Rauhut, Holger; Schwab, Christoph
2017
$$hp$$-DGFEM for partial differential equations with nonnegative characteristic form. Zbl 0946.65102
Süli, Endre; Schwab, Christoph; Houston, Paul
2000
Adaptive wavelet algorithms for elliptic PDE’s on product domains. Zbl 1127.41009
Schwab, Christoph; Stevenson, Rob
2008
First-order $$k$$-th moment finite element analysis of nonlinear operator equations with stochastic data. Zbl 1281.65008
Chernov, Alexey; Schwab, Christoph
2013
Exponential ReLU DNN expression of holomorphic maps in high dimension. Zbl 07493725
Opschoor, J. A. A.; Schwab, Ch.; Zech, J.
2022
DNN expression rate analysis of high-dimensional PDEs: application to option pricing. Zbl 07493716
Elbrächter, Dennis; Grohs, Philipp; Jentzen, Arnulf; Schwab, Christoph
2022
Shape holomorphy of the Calderón projector for the Laplacian in $$\mathbb{R}^2$$. Zbl 1472.45011
Henríquez, Fernando; Schwab, Christoph
2021
Deep ReLU network expression rates for option prices in high-dimensional, exponential Lévy models. Zbl 1475.91356
Gonon, Lukas; Schwab, Christoph
2021
Deep ReLU networks and high-order finite element methods. Zbl 1452.65354
Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph
2020
Convergence rates of high dimensional Smolyak quadrature. Zbl 07240638
Zech, Jakob; Schwab, Christoph
2020
Domain uncertainty quantification in computational electromagnetics. Zbl 1483.65010
Aylwin, Ruben; Jerez-Hanckes, Carlos; Schwab, Christoph; Zech, Jakob
2020
Multilevel approximation of Gaussian random fields: fast simulation. Zbl 1448.60110
Herrmann, Lukas; Kirchner, Kristin; Schwab, Christoph
2020
Deep neural network expression of posterior expectations in Bayesian PDE inversion. Zbl 1453.35191
Herrmann, Lukas; Schwab, Christoph; Zech, Jakob
2020
Analytic regularity for the incompressible Navier-Stokes equations in polygons. Zbl 1447.35252
Marcati, Carlo; Schwab, Christoph
2020
Exponential convergence in $$H^1$$ of hp-FEM for Gevrey regularity with isotropic singularities. Zbl 1433.65290
Feischl, M.; Schwab, Ch.
2020
Multilevel quasi-Monte Carlo uncertainty quantification for advection-diffusion-reaction. Zbl 07240088
Herrmann, Lukas; Schwab, Christoph
2020
Analysis of a multilevel Markov chain Monte Carlo finite element method for Bayesian inversion of log-normal diffusions. Zbl 07371341
Hoang, Viet Ha; Quek, Jia Hao; Schwab, Christoph
2020
Deep learning in high dimension: neural network expression rates for generalized polynomial chaos expansions in UQ. Zbl 1478.68309
Schwab, Christoph; Zech, Jakob
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
2019
Multilevel approximation of parametric and stochastic PDES. Zbl 1427.65386
Zech, Jakob; Dũng, Dinh; Schwab, Christoph
2019
QMC integration for lognormal-parametric, elliptic PDEs: local supports and product weights. Zbl 07006664
Herrmann, Lukas; Schwab, Christoph
2019
Multilevel quasi-Monte Carlo integration with product weights for elliptic PDEs with lognormal coefficients. Zbl 07135561
Herrmann, Lukas; Schwab, Christoph
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
2019
Improved efficiency of a multi-index FEM for computational uncertainty quantification. Zbl 07100359
Dick, Josef; Feischl, Michael; Schwab, Christoph
2019
Uncertainty quantification for spectral fractional diffusion: sparsity analysis of parametric solutions. Zbl 1469.65170
Herrmann, Lukas; Schwab, Christoph; Zech, Jakob
2019
Large deformation shape uncertainty quantification in acoustic scattering. Zbl 1402.35321
Hiptmair, R.; Scarabosio, L.; Schillings, C.; Schwab, Ch.
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
2018
Shape holomorphy of the stationary Navier-Stokes equations. Zbl 1390.35227
Cohen, Albert; Schwab, Christoph; Zech, Jakob
2018
Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions. Zbl 1382.65409
2018
Numerical analysis of lognormal diffusions on the sphere. Zbl 1402.60062
Herrmann, Lukas; Lang, Annika; Schwab, Christoph
2018
Multilevel QMC with product weights for affine-parametric, elliptic PDEs. Zbl 1405.65008
Gantner, Robert N.; Herrmann, Lukas; Schwab, Christoph
2018
Space-time $$hp$$-approximation of parabolic equations. Zbl 1404.65118
Devaud, Denis; Schwab, Christoph
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
2018
QMC algorithms with product weights for lognormal-parametric, elliptic PDEs. Zbl 1422.65017
Herrmann, Lukas; Schwab, Christoph
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
2018
Discontinuous Galerkin methods for acoustic wave propagation in polygons. Zbl 1406.65080
Müller, Fabian; Schötzau, Dominik; Schwab, Christoph
2018
Correction to: “Multilevel Monte Carlo front-tracking for random scalar conservation laws”. Zbl 1430.65004
Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska
2018
Multilevel higher-order quasi-Monte Carlo Bayesian estimation. Zbl 1375.65169
Dick, Josef; Gantner, Robert N.; Le Gia, Quoc T.; Schwab, Christoph
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
2017
Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations. Zbl 1358.65034
Rauhut, Holger; Schwab, Christoph
2017
Electromagnetic wave scattering by random surfaces: shape holomorphy. Zbl 1381.35170
Jerez-Hanckes, Carlos; Schwab, Christoph; Zech, Jakob
2017
Fully discrete approximation of parametric and stochastic elliptic PDEs. Zbl 1377.65005
Bachmayr, Markus; Cohen, Albert; Dũng, Dinh; Schwab, Christoph
2017
Covariance regularity and $$\mathcal {H}$$-matrix approximation for rough random fields. Zbl 1362.65124
Dölz, J.; Harbrecht, H.; Schwab, Ch.
2017
Fractional space-time variational formulations of (Navier-) Stokes equations. Zbl 1375.35329
Schwab, Christoph; Stevenson, Rob
2017
Electromagnetic wave scattering by random surfaces: uncertainty quantification via sparse tensor boundary elements. Zbl 1433.78013
Jerez-Hanckes, Carlos; Schwab, Christoph
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
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
2017
Symmetric interior penalty discontinuous Galerkin methods for elliptic problems in polygons. Zbl 1376.65145
Müller, Fabian; Schötzau, Dominik; Schwab, Christoph
2017
Monte-Carlo finite-volume methods in uncertainty quantification for hyperbolic conservation laws. Zbl 1407.65150
Mishra, Siddhartha; Schwab, Christoph
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
2016
Higher order quasi-Monte Carlo integration for holomorphic, parametric operator equations. Zbl 1398.65031
Dick, Josef; Le Gia, Quoc T.; Schwab, Christoph
2016
Sparse-grid, reduced-basis Bayesian inversion: nonaffine-parametric nonlinear equations. Zbl 1349.62076
Chen, Peng; Schwab, Christoph
2016
Scaling limits in computational Bayesian inversion. Zbl 1358.65013
Schillings, Claudia; Schwab, Christoph
2016
Computational higher order quasi-Monte Carlo integration. Zbl 1356.65003
Gantner, Robert N.; Schwab, Christoph
2016
Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007
Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana
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.
2016
$$hp$$-dGFEM for second-order mixed elliptic problems in polyhedra. Zbl 1332.65173
Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas P.
2016
Adaptive sparse grid model order reduction for fast Bayesian estimation and inversion. Zbl 1337.65012
Chen, Peng; Schwab, Christoph
2016
Sparse adaptive tensor Galerkin approximations of stochastic PDE-constrained control problems. Zbl 1398.65252
Kunoth, Angela; Schwab, Christoph
2016
Multilevel Monte Carlo front-tracking for random scalar conservation laws. Zbl 1350.65008
Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska
2016
Finite elements with mesh refinement for elastic wave propagation in polygons. Zbl 1457.65130
Müller, Fabian; Schwab, Christoph
2016
Numerical approximation of statistical solutions of planar, incompressible flows. Zbl 1416.76184
Leonardi, Filippo; Mishra, Siddhartha; Schwab, Christoph
2016
Multilevel Monte Carlo simulation of statistical solutions to the Navier-Stokes equations. Zbl 1382.76209
Barth, Andrea; Schwab, Christoph; Šukys, Jonas
2016
Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs. Zbl 1327.65251
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
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.
2015
Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations. Zbl 1328.60126
Lang, Annika; Schwab, Christoph
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.
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
2015
Sparse-grid, reduced-basis Bayesian inversion. Zbl 1425.65020
Chen, Peng; Schwab, Christoph
2015
Exponential convergence for $$hp$$-version and spectral finite element methods for elliptic problems in polyhedra. Zbl 1322.65099
Schötzau, Dominik; Schwab, Christoph
2015
Tensor approximation of stationary distributions of chemical reaction networks. Zbl 1322.60155
2015
Finite elements with mesh refinement for wave equations in polygons. Zbl 1311.65126
Müller, Fabian L.; Schwab, Christoph
2015
Fast QMC matrix-vector multiplication. Zbl 1320.65008
Dick, Josef; Kuo, Frances Y.; Le Gia, Quoc T.; Schwab, Christoph
2015
Quadrature algorithms for high dimensional singular integrands on simplices. Zbl 1332.65035
Chernov, Alexey; von Petersdorff, Tobias; Schwab, Christoph
2015
Exponential convergence of simplicial hp-FEM for $$H^1$$-functions with isotropic singularities. Zbl 1352.65548
Schwab, Christoph
2015
Higher order quasi Monte-Carlo integration in uncertainty quantification. Zbl 1352.65017
Dick, Josef; Thong Le Gia, Quoc; Schwab, Christoph
2015
High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs. Zbl 1298.65022
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
2014
Adaptive stochastic Galerkin FEM. Zbl 1296.65157
Eigel, Martin; Gittelson, Claude Jeffrey; Schwab, Christoph; Zander, Elmar
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
2014
$$N$$-term Wiener chaos approximation rates for elliptic PDEs with lognormal Gaussian random inputs. Zbl 1294.65010
Hoang, Viet Ha; Schwab, Christoph
2014
Sparsity in Bayesian inversion of parametric operator equations. Zbl 1291.65033
Schillings, Claudia; Schwab, Christoph
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
2014
Multilevel Monte Carlo finite element methods for stochastic elliptic variational inequalities. Zbl 1320.65176
Kornhuber, Ralf; Schwab, Christoph; Wolf, Maren-Wanda
2014
Exponential convergence of the $$hp$$ version of isogeometric analysis in 1D. Zbl 1282.65090
Buffa, Annalisa; Sangalli, Giancarlo; Schwab, Christoph
2014
Efficient resolution of anisotropic structures. Zbl 1317.65251
Dahmen, Wolfgang; Huang, Chunyan; Kutyniok, Gitta; Lim, Wang-Q; Schwab, Christoph; Welper, Gerrit
2014
Space-time variational saddle point formulations of Stokes and Navier-Stokes equations. Zbl 1295.35354
Guberovic, Rafaela; Schwab, Christoph; Stevenson, Rob
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
2014
Optimality of adaptive Galerkin methods for random parabolic partial differential equations. Zbl 1293.35372
Gittelson, Claude Jeffrey; Andreev, Roman; Schwab, Christoph
2014
Schillings, Claudia; Schwab, Christoph
2013
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
2013
Complexity analysis of accelerated MCMC methods for Bayesian inversion. Zbl 1288.65004
Hoang, Viet Ha; Schwab, Christoph; Stuart, Andrew M.
2013
Computational methods for quantitative finance. Finite element methods for derivative pricing. Zbl 1275.91005
Hilber, Norbert; Reichmann, Oleg; Schwab, Christoph; Winter, Christoph
2013
Multilevel Monte Carlo method for parabolic stochastic partial differential equations. Zbl 1272.65009
Barth, Andrea; Lang, Annika; Schwab, Christoph
2013
$$hp$$-dGFEM for second order elliptic problems in polyhedra. II: Exponential convergence. Zbl 1457.65215
Schötzau, D.; Schwab, Ch.; Wihler, T. P.
2013
Analytic regularity and GPC approximation for control problems constrained by linear parametric elliptic and parabolic PDEs. Zbl 1278.49043
Kunoth, Angela; Schwab, Christoph
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
2013
First-order $$k$$-th moment finite element analysis of nonlinear operator equations with stochastic data. Zbl 1281.65008
Chernov, Alexey; Schwab, Christoph
2013
Analytic regularity and polynomial approximation of stochastic, parametric elliptic multiscale PDEs. Zbl 1259.49059
Hoang, V. H.; Schwab, CH.
2013
Sparse adaptive approximation of high dimensional parametric initial value problems. Zbl 1272.34012
Hansen, Markus; Schwab, Christoph
2013
Uncertainty quantification in computational fluid dynamics. Zbl 1276.76005
2013
Low-rank tensor structure of linear diffusion operators in the TT and QTT formats. Zbl 1281.15024
Kazeev, Vladimir; Reichmann, Oleg; Schwab, Christoph
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
2013
Multilevel Monte Carlo methods for stochastic elliptic multiscale PDEs. Zbl 1296.65008
Abdulle, Assyr; Barth, Andrea; Schwab, Christoph
2013
High-order Galerkin approximations for parametric second-order elliptic partial differential equations. Zbl 1275.65081
Nistor, Victor; Schwab, Christoph
2013
...and 181 more Documents
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### Cited by 3,865 Authors

 153 Schwab, Christoph 49 Harbrecht, Helmut 39 Hiptmair, Ralf 37 Nobile, Fabio 33 Praetorius, Dirk 30 Melenk, Jens Markus 30 Schötzau, Dominik 29 Demkowicz, Leszek F. 29 Tempone, Raúl F. 25 Sauter, Stefan A. 25 Stevenson, Rob P. 25 Xenophontos, Christos A. 24 Cockburn, Bernardo 23 Abdulle, Assyr 23 Wihler, Thomas Pascal 22 Cohen, Albert 22 Houston, Paul 22 Schneider, Reinhold 21 Dolejší, Vít 21 Nouy, Anthony 20 Kuo, Frances Y. 20 Mishra, Siddhartha 20 Scheichl, Robert 19 Baccouch, Mahboub 19 Bespalov, Alexei 19 Chernov, Alexey 19 Dick, Josef 19 Perugia, Ilaria 19 Süli, Endre E. 18 Chung, Tsz Shun Eric 18 Dahmen, Wolfgang A. 18 Feistauer, Miloslav 18 Khoromskiĭ, Boris Nikolaevich 18 Nicaise, Serge 18 Sloan, Ian Hugh 17 Chen, Peng 17 Karniadakis, George Em 17 Wheeler, Mary Fanett 17 Yi, Lijun 16 Feischl, Michael 16 Giani, Stefano 16 Hoang, Viet Ha 16 Li, Jichun 16 Marzouk, Youssef M. 15 Ainsworth, Mark 15 Georgoulis, Emmanuil H. 15 Steinbach, Olaf 14 Antonietti, Paola Francesca 14 Buffa, Annalisa 14 Düster, Alexander 14 Graham, Ivan G. 14 Heuer, Norbert 14 Nuyens, Dirk 14 Peters, Michael D. 14 Rank, Ernst 14 Shu, Chi-Wang 14 Stephan, Ernst Peter 13 Bachmayr, Markus 13 Eigel, Martin 13 Ern, Alexandre 13 Goda, Takashi 13 Griebel, Michael 13 Karkulik, Michael 13 Narayan, Akil C. 13 Urban, Karsten 13 Verani, Marco 13 Zhang, Qiang 13 Zhang, Zhimin 12 Claeys, Xavier 12 Ghattas, Omar N. 12 Hackbusch, Wolfgang 12 Hakula, Harri 12 Herrmann, Lukas 12 Khan, Arbaz 12 Li, Hengguang 12 Mascotto, Lorenzo 12 Schmidt, Kersten 12 Schöberl, Joachim 12 Spence, Euan A. 11 Beuchler, Sven 11 Dahlke, Stephan 11 DeVore, Ronald A. 11 Dinh Dũng 11 Führer, Thomas 11 Kanschat, Guido 11 Kressner, Daniel 11 Lang, Annika 11 Law, Kody J. H. 11 Li, Huiyuan 11 Matthies, Hermann Georg 11 Rivière, Beatrice M. 11 Rukavishnikov, Viktor Anatol’evich 11 Wasilkowski, Grzegorz W. 11 Webster, Clayton G. 11 Zech, Jakob 11 Zhou, Tao 10 Dauge, Monique 10 Di Pietro, Daniele Antonio 10 Doostan, Alireza 10 Dutt, Pravir Kumar ...and 3,765 more Authors
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### Cited in 318 Serials

 314 Computer Methods in Applied Mechanics and Engineering 243 Journal of Computational Physics 170 Journal of Scientific Computing 155 Numerische Mathematik 134 Journal of Computational and Applied Mathematics 133 Computers & Mathematics with Applications 123 SIAM Journal on Scientific Computing 112 Applied Numerical Mathematics 109 Mathematics of Computation 83 SIAM Journal on Numerical Analysis 79 SIAM/ASA Journal on Uncertainty Quantification 76 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 68 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 65 Applied Mathematics and Computation 56 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 29 Computers and Fluids 29 BIT 28 Journal of Complexity 28 Computational Mechanics 28 Foundations of Computational Mathematics 25 Constructive Approximation 23 Computational Methods in Applied Mathematics 23 Multiscale Modeling & Simulation 22 Numerical Algorithms 21 Journal of Mathematical Analysis and Applications 20 Mathematical Methods in the Applied Sciences 20 Calcolo 20 Journal of Numerical Mathematics 18 Mathematics and Computers in Simulation 17 Journal of Integral Equations and Applications 16 Computing 16 Numerical Functional Analysis and Optimization 16 Communications in Computational Physics 15 Applicable Analysis 15 Journal of Approximation Theory 15 SIAM Journal on Mathematical Analysis 14 International Journal of Computer Mathematics 13 Science China. Mathematics 12 Inverse Problems 12 Applications of Mathematics 12 Applied Mathematical Modelling 12 Numerical Linear Algebra with Applications 12 Computational Geosciences 12 Analysis and Applications (Singapore) 12 International Journal of Numerical Analysis and Modeling 12 Stochastic and Partial Differential Equations. Analysis and Computations 11 Integral Equations and Operator Theory 11 Applied and Computational Harmonic Analysis 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 Computational and Applied Mathematics 9 Finance and Stochastics 8 Archive for Rational Mechanics and Analysis 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 7 International Journal for Numerical Methods in Fluids 7 Journal of Elasticity 7 Linear Algebra and its Applications 7 Vietnam Journal of Mathematics 7 International Journal of Computational Methods 7 Statistics and Computing 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 6 Communications on Applied Mathematics and Computation 5 Journal of Engineering Mathematics 5 Applied Mathematics Letters 5 The Annals of Applied Probability 5 SIAM Review 5 Computational Optimization and Applications 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 5 Engineering Computations 5 Acta Numerica 4 Communications in Mathematical Physics 4 Journal of Multivariate Analysis 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 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Journal of Nonlinear Science 4 Theory of Probability and Mathematical Statistics 4 Bernoulli 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 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 ...and 218 more Serials
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### Cited in 51 Fields

 2,604 Numerical analysis (65-XX) 1,420 Partial differential equations (35-XX) 554 Fluid mechanics (76-XX) 450 Probability theory and stochastic processes (60-XX) 373 Mechanics of deformable solids (74-XX) 203 Optics, electromagnetic theory (78-XX) 202 Approximations and expansions (41-XX) 161 Statistics (62-XX) 118 Calculus of variations and optimal control; optimization (49-XX) 115 Integral equations (45-XX) 114 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 85 Computer science (68-XX) 78 Harmonic analysis on Euclidean spaces (42-XX) 73 Functional analysis (46-XX) 72 Linear and multilinear algebra; matrix theory (15-XX) 67 Operator theory (47-XX) 67 Statistical mechanics, structure of matter (82-XX) 53 Biology and other natural sciences (92-XX) 47 Ordinary differential equations (34-XX) 47 Operations research, mathematical programming (90-XX) 39 Systems theory; control (93-XX) 33 Geophysics (86-XX) 27 Classical thermodynamics, heat transfer (80-XX) 26 Information and communication theory, circuits (94-XX) 24 Potential theory (31-XX) 20 Real functions (26-XX) 19 Special functions (33-XX) 18 Quantum theory (81-XX) 17 Dynamical systems and ergodic theory (37-XX) 15 Global analysis, analysis on manifolds (58-XX) 11 Number theory (11-XX) 8 Astronomy and astrophysics (85-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Measure and integration (28-XX) 5 General and overarching topics; collections (00-XX) 5 Abstract harmonic analysis (43-XX) 5 Integral transforms, operational calculus (44-XX) 5 Relativity and gravitational theory (83-XX) 4 Functions of a complex variable (30-XX) 4 Mechanics of particles and systems (70-XX) 3 Combinatorics (05-XX) 3 Manifolds and cell complexes (57-XX) 2 Topological groups, Lie groups (22-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX)

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