Linear collective collocation approximation for parametric and stochastic elliptic PDEs

DOI10.1070/SM9068zbMath1415.65018arXiv1511.03377OpenAlexW2914799578WikidataQ114102351 ScholiaQ114102351MaRDI QIDQ4966691

Dinh Dung

Publication date: 27 June 2019

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03377

zbMATH Keywords

high-dimensional problemsaffine dependence of diffusion coefficientslinear collective collocation approximationparametric and stochastic elliptic PDEs

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Numerical solutions to stochastic differential and integral equations (65C30) Approximation by polynomials (41A10) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (3)

Collocation approximation by deep neural ReLU networks for parametric and stochastic PDEs with lognormal inputs ⋮ Sparse-grid polynomial interpolation approximation and integration for parametric and stochastic elliptic PDEs with lognormal inputs ⋮ Multilevel approximation of parametric and stochastic PDES

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