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Sparse Adaptive Approximation of High Dimensional Parametric Initial Value Problems

Hansen, Markus ; Schwab, Christoph

Vietnam Journal of Mathematics, 2013, Vol.41(2), pp.181-215 [Peer Reviewed Journal]

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Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions

Kazeev, Vladimir ; Schwab, Christoph

Numerische Mathematik, 2018, Vol.138(1), pp.133-190 [Peer Reviewed Journal]

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Space–time hp -approximation of parabolic equations

Devaud, Denis ; Schwab, Christoph

Calcolo, 2018, Vol.55(3), pp.1-23 [Peer Reviewed Journal]

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Exponential Convergence of hp -FEM for Elliptic Problems in Polyhedra: Mixed Boundary Conditions and Anisotropic Polynomial Degrees

Schötzau, Dominik ; Schwab, Christoph

Foundations of Computational Mathematics, 2018, Vol.18(3), pp.595-660 [Peer Reviewed Journal]

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5
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Numerical analysis of lognormal diffusions on the sphere

Herrmann, Lukas ; Lang, Annika ; Schwab, Christoph

Stochastics and Partial Differential Equations: Analysis and Computations, 2018, Vol.6(1), pp.1-44

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Convergence Rates of Best N -term Galerkin Approximations for a Class of Elliptic sPDEs

Cohen, Albert ; DeVore, Ronald ; Schwab, Christoph

Foundations of Computational Mathematics, 2010, Vol.10(6), pp.615-646 [Peer Reviewed Journal]

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7
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High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEs

Chkifa, Abdellah ; Cohen, Albert ; Schwab, Christoph

Foundations of Computational Mathematics, 2014, Vol.14(4), pp.601-633 [Peer Reviewed Journal]

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8
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Discontinuous Galerkin Methods for Acoustic Wave Propagation in Polygons

Müller, Fabian ; Schötzau, Dominik ; Schwab, Christoph

Journal of Scientific Computing, 2018, Vol.77(3), pp.1909-1935 [Peer Reviewed Journal]

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9
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On the Justification of Plate Models

Braess, Dietrich ; Sauter, Stefan ; Schwab, Christoph

Journal of Elasticity, 2011, Vol.103(1), pp.53-71 [Peer Reviewed Journal]

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10
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Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients

Barth, Andrea ; Schwab, Christoph ; Zollinger, Nathaniel

Numerische Mathematik, 2011, Vol.119(1), pp.123-161 [Peer Reviewed Journal]

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11
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Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients

Kuo, Frances ; Schwab, Christoph ; Sloan, Ian

Foundations of Computational Mathematics, 2015, Vol.15(2), pp.411-449 [Peer Reviewed Journal]

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12
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The multi-level Monte Carlo finite element method for a stochastic Brinkman Problem

Gittelson, Claude ; Könnö, Juho ; Schwab, Christoph ; Stenberg, Rolf

Numerische Mathematik, 2013, Vol.125(2), pp.347-386 [Peer Reviewed Journal]

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13
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Sparse finite element methods for operator equations with stochastic data

Petersdorff, Tobias ; Schwab, Christoph

Applications of Mathematics, 2006, Vol.51(2), pp.145-180 [Peer Reviewed Journal]

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14
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Mixed HP -finite element approximations on geometric edge and boundary layer meshes in three dimensions

Toselli, Andrea ; Schwab, Christoph

Numerische Mathematik, 2003, Vol.94(4), pp.771-801 [Peer Reviewed Journal]

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15
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Sparse finite elements for elliptic problems with stochastic loading

Schwab, Christoph ; Todor, Radu-Alexandru

Numerische Mathematik, 2003, Vol.95(4), pp.707-734 [Peer Reviewed Journal]

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16
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QMC integration for lognormal-parametric, elliptic PDEs: local supports and product weights

Herrmann, Lukas ; Schwab, Christoph

Numerische Mathematik, 2019, Vol.141(1), pp.63-102 [Peer Reviewed Journal]

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17
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Sparse second moment analysis for elliptic problems in stochastic domains

Harbrecht, Helmut ; Schneider, Reinhold ; Schwab, Christoph

Numerische Mathematik, 2008, Vol.109(3), pp.385-414 [Peer Reviewed Journal]

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18
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Multilevel frames for sparse tensor product spaces

Harbrecht, Helmut ; Schneider, Reinhold ; Schwab, Christoph

Numerische Mathematik, 2008, Vol.110(2), pp.199-220 [Peer Reviewed Journal]

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19
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Higher-Order Convex Approximations of Young Measures in Optimal Control

Matache, Ana-Maria ; Roubíček, Tomáš ; Schwab, Christoph

Advances in Computational Mathematics, 2003, Vol.19(1), pp.73-97 [Peer Reviewed Journal]

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20
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Quadrature for $hp$ -Galerkin BEM in ${\hbox{\sf l\kern-.13em R}}^3$

Sauter, Stefan A. ; Schwab, Christoph

Numerische Mathematik, 1997, Vol.78(2), pp.211-258 [Peer Reviewed Journal]

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