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A SPARSE GRID STOCHASTIC COLLOCATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM INPUT DATA

SIAM journal on numerical analysis, 2008-01, Vol.46 (5), p.2309-2345

2008

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AN ANISOTROPIC SPARSE GRID STOCHASTIC COLLOCATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM INPUT DATA

SIAM journal on numerical analysis, 2008-01, Vol.46 (5), p.2411-2442

2008

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Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: application to random elliptic PDEs

Numerische Mathematik, 2016-10, Vol.134 (2), p.343-388

2016

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Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

SIAM journal on scientific computing, 2013-01, Vol.35 (3), p.A1440-A1460

2013

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Analysis of discrete [L.sup.2] projection on polynomial spaces with random evaluations

Foundations of computational mathematics, 2014-06, Vol.14 (3), p.419-456

2014

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A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria

Computer methods in applied mechanics and engineering, 2008-05, Vol.197 (29), p.2517-2539

2008

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Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients

International journal for numerical methods in engineering, 2009-11, Vol.80 (6-7), p.979-1006

2009

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Adaptive Weak Approximation of Diffusions with Jumps

SIAM journal on numerical analysis, 2008-01, Vol.46 (4), p.1732-1768

2008

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A Wasserstein coupled particle filter for multilevel estimation

Stochastic analysis and applications, 2023-09, Vol.41 (5), p.820-859

2023

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Static frame challenge problem: Summary

Computer methods in applied mechanics and engineering, 2008-05, Vol.197 (29), p.2572-2577

2008

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Formulation of the static frame problem

Computer methods in applied mechanics and engineering, 2008-05, Vol.197 (29), p.2496-2499

2008

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Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations

SIAM journal on numerical analysis, 2004-01, Vol.42 (2), p.800

2004

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Worst case scenario analysis for elliptic problems with uncertainty

Numerische Mathematik, 2005-08, Vol.101 (2), p.185-219

2005

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Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation

Computer methods in applied mechanics and engineering, 2005-04, Vol.194 (12-16), p.1251-1294

2005

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Implementation and analysis of an adaptive multilevel Monte Carlo algorithm

Monte Carlo methods and applications, 2014-03, Vol.20 (1), p.1-41

2014

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Computable Error Estimates for Finite Element Approximations of Elliptic Partial Differential Equations with Rough Stochastic Data

SIAM journal on scientific computing, 2016-01, Vol.38 (6), p.A3773-A3807

2016

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An Error Estimate for Symplectic Euler Approximation of Optimal Control Problems

SIAM journal on scientific computing, 2015-01, Vol.37 (2), p.A946-A969

2015

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Computation of Electromagnetic Fields Scattered From Objects With Uncertain Shapes Using Multilevel Monte Carlo Method

IEEE journal on multiscale and multiphysics computational techniques, 2019, Vol.4, p.37-50

2019

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Reliability of computational science

Numerical methods for partial differential equations, 2007-07, Vol.23 (4), p.753-784

2007

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Convergence rates for an adaptive dual weighted residual finite element algorithm

BIT (Nordisk Tidskrift for Informationsbehandling), 2006-06, Vol.46 (2), p.367-407

2006

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Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L arrow up $ Projection on Polynomial Spaces

SIAM journal on scientific computing, 2013-01, Vol.35 (3), p.A1440-A1460

2013

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Analysis of Discrete L^sup 2^ Projection on Polynomial Spaces with Random Evaluations

Foundations of computational mathematics, 2014-06, Vol.14 (3), p.419

2014

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Analysis of Discrete $$L^2$$ L 2 Projection on Polynomial Spaces with Random Evaluations

Foundations of computational mathematics, 2014-03

2014

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Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations

Foundations of computational mathematics, 2014, Vol.14 (3), p.419-456

2014

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A SPARSE GRID STOCHASTIC COLLOCATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM INPUT DATA

SIAM journal on numerical analysis, 2009, Vol.46 (5), p.2309-2345

2009

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A SPARSE GRID STOCHASTIC COLLOCATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM INPUT DATA

AN ANISOTROPIC SPARSE GRID STOCHASTIC COLLOCATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM INPUT DATA

Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: application to random elliptic PDEs

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Analysis of discrete [L.sup.2] projection on polynomial spaces with random evaluations

A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria

Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients

Adaptive Weak Approximation of Diffusions with Jumps

A Wasserstein coupled particle filter for multilevel estimation

Static frame challenge problem: Summary

Formulation of the static frame problem

Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations

Worst case scenario analysis for elliptic problems with uncertainty

Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation

Implementation and analysis of an adaptive multilevel Monte Carlo algorithm

Computable Error Estimates for Finite Element Approximations of Elliptic Partial Differential Equations with Rough Stochastic Data

An Error Estimate for Symplectic Euler Approximation of Optimal Control Problems

Computation of Electromagnetic Fields Scattered From Objects With Uncertain Shapes Using Multilevel Monte Carlo Method

Reliability of computational science

Convergence rates for an adaptive dual weighted residual finite element algorithm

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L arrow up $ Projection on Polynomial Spaces

Analysis of Discrete L^sup 2^ Projection on Polynomial Spaces with Random Evaluations

Analysis of Discrete $$L^2$$ L 2 Projection on Polynomial Spaces with Random Evaluations

Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations

A SPARSE GRID STOCHASTIC COLLOCATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM INPUT DATA

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