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1
Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs *
Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs *
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Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs *

Schwab, Christoph ; Gittelson, Claude Jeffrey

Acta Numerica, 2011, Vol.20, pp.291-467 [Peer Reviewed Journal]

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2
Fast evaluation of nonlinear functionals of tensor product wavelet expansions
Fast evaluation of nonlinear functionals of tensor product wavelet expansions
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Fast evaluation of nonlinear functionals of tensor product wavelet expansions

Schwab, Christoph ; Stevenson, Rob

Numerische Mathematik, 2011, Vol.119(4), pp.765-786 [Peer Reviewed Journal]

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3
Exponential Convergence of Gauss--Jacobi Quadratures for Singular Integrals over Simplices in Arbitrary Dimension
Exponential Convergence of Gauss--Jacobi Quadratures for Singular Integrals over Simplices in Arbitrary Dimension
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Exponential Convergence of Gauss--Jacobi Quadratures for Singular Integrals over Simplices in Arbitrary Dimension

Chernov, Alexey ; Schwab, Christoph

SIAM Journal on Numerical Analysis, 2012, Vol.50(3), pp.1433-1455 [Peer Reviewed Journal]

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4
High-order finite element approximation for partial differential equations
High-order finite element approximation for partial differential equations
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High-order finite element approximation for partial differential equations

Chernov, Alexey ; Schwab, Christoph

Computers and Mathematics with Applications, March 2014, Vol.67(4), pp.709-711 [Peer Reviewed Journal]

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5
Scaling limits in computational Bayesian inversion
Scaling limits in computational Bayesian inversion
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Scaling limits in computational Bayesian inversion

Schillings, Claudia ; Schwab, Christoph

ESAIM. Mathematical Modelling and Numerical Analysis, Nov-Dec 2016, Vol.50(6) [Peer Reviewed Journal]

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6
Sparse Tensor Galerkin Discretization of Parametric and Random Parabolic PDEs---Analytic Regularity and Generalized Polynomial Chaos Approximation
Sparse Tensor Galerkin Discretization of Parametric and Random Parabolic PDEs---Analytic Regularity and Generalized Polynomial Chaos Approximation
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Sparse Tensor Galerkin Discretization of Parametric and Random Parabolic PDEs---Analytic Regularity and Generalized Polynomial Chaos Approximation

Hoang, Viet ; Schwab, Christoph

SIAM Journal on Mathematical Analysis, 2013, Vol.45(5), pp.3050-3083 [Peer Reviewed Journal]

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7
TENSOR-STRUCTURED GALERKIN APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDEs*
TENSOR-STRUCTURED GALERKIN APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDEs*
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TENSOR-STRUCTURED GALERKIN APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDEs*

Khoromskij, Boris ; Schwab, Christoph

SIAM Journal on Scientific Computing, 2011, Vol.33(1), pp.364-385 [Peer Reviewed Journal]

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8
Sparse, adaptive smolyak quadratures for bayesian inverse problems
Sparse, adaptive smolyak quadratures for bayesian inverse problems
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Sparse, adaptive smolyak quadratures for bayesian inverse problems

Schillings, Claudia ; Schwab, Christoph

Inverse Problems, 2013, Vol.29(6), p.065011 (28pp) [Peer Reviewed Journal]

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9
High order approximation of probabilistic shock profiles in hyperbolic conservation laws with uncertain initial data
High order approximation of probabilistic shock profiles in hyperbolic conservation laws with uncertain initial data
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High order approximation of probabilistic shock profiles in hyperbolic conservation laws with uncertain initial data

Schwab, Christoph ; Tokareva, Svetlana

ESAIM. Mathematical Modelling and Numerical Analysis, May 2013, Vol.47(3), pp.807-835 [Peer Reviewed Journal]

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10
Sparse tensor finite elements for elliptic multiple scale problems
Sparse tensor finite elements for elliptic multiple scale problems
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Sparse tensor finite elements for elliptic multiple scale problems

Harbrecht, Helmut ; Schwab, Christoph

Computer Methods in Applied Mechanics and Engineering, 2011, Vol.200(45), pp.3100-3110 [Peer Reviewed Journal]

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11
Sparse Adaptive Approximation of High Dimensional Parametric Initial Value Problems
Sparse Adaptive Approximation of High Dimensional Parametric Initial Value Problems
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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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12
Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions
Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions
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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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13
High-order Galerkin approximations for parametric second-order elliptic partial differential equations
High-order Galerkin approximations for parametric second-order elliptic partial differential equations
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High-order Galerkin approximations for parametric second-order elliptic partial differential equations

Nistor, Victor ; Schwab, Christoph

Mathematical Models and Methods in Applied Sciences, 2013, Vol.23(9), pp.1729-1760 [Peer Reviewed Journal]

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14
Sparse-grid, reduced-basis Bayesian inversion
Sparse-grid, reduced-basis Bayesian inversion
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Sparse-grid, reduced-basis Bayesian inversion

Chen, Peng ; Schwab, Christoph

Computer Methods in Applied Mechanics and Engineering, 01 December 2015, Vol.297, pp.84-115 [Peer Reviewed Journal]

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15
Analytic Regularity and GPC Approximation for Control Problems Constrained by Linear Parametric Elliptic and Parabolic PDEs
Analytic Regularity and GPC Approximation for Control Problems Constrained by Linear Parametric Elliptic and Parabolic PDEs
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Analytic Regularity and GPC Approximation for Control Problems Constrained by Linear Parametric Elliptic and Parabolic PDEs

Kunoth, Angela ; Schwab, Christoph

SIAM Journal on Control and Optimization, 2013, Vol.51(3), pp.2442-2471 [Peer Reviewed Journal]

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16
Space–time hp -approximation of parabolic equations
Space–time hp -approximation of parabolic equations
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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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17
Sparse-grid, reduced-basis Bayesian inversion: Nonaffine-parametric nonlinear equations
Sparse-grid, reduced-basis Bayesian inversion: Nonaffine-parametric nonlinear equations
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Sparse-grid, reduced-basis Bayesian inversion: Nonaffine-parametric nonlinear equations

Chen, Peng ; Schwab, Christoph

Journal of Computational Physics, 01 July 2016, Vol.316, pp.470-503 [Peer Reviewed Journal]

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18
Optimality of adaptive Galerkin methods for random parabolic partial differential equations
Optimality of adaptive Galerkin methods for random parabolic partial differential equations
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Optimality of adaptive Galerkin methods for random parabolic partial differential equations

Jeffrey Gittelson, Claude ; Andreev, Roman ; Schwab, Christoph

Journal of computational and applied mathematics, 2014, Vol.263(1), pp.189-201 [Peer Reviewed Journal]

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19
Efficient Characterization of Parametric Uncertainty of Complex (Bio)chemical Networks (Efficient Characterization of Parametric Uncertainty)
Efficient Characterization of Parametric Uncertainty of Complex (Bio)chemical Networks (Efficient Characterization of Parametric Uncertainty)
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Efficient Characterization of Parametric Uncertainty of Complex (Bio)chemical Networks (Efficient Characterization of Parametric Uncertainty)

Schillings, Claudia ; Sunnåker, Mikael ; Stelling, Jörg ; Schwab, Christoph ;Maranas, Costas D. (Editor)

2015, Vol.11(8), p.e1004457 [Peer Reviewed Journal]

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20
Electromagnetic wave scattering by random surfaces: uncertainty quantification via sparse tensor boundary elements
Electromagnetic wave scattering by random surfaces: uncertainty quantification via sparse tensor boundary elements
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Electromagnetic wave scattering by random surfaces: uncertainty quantification via sparse tensor boundary elements

Jerez - Hanckes, Carlos ; Schwab, Christoph

IMA Journal of Numerical Analysis, 2017, Vol. 37(3), pp.1175-1210 [Peer Reviewed Journal]

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