Analyticity and sparsity in uncertainty quantification for PDEs with Gaussian random field inputs

DOI10.1007/978-3-031-38384-7MaRDI QIDQ6535058

J. Zech, Dinh Dũng, Christoph Schwab, Van Kien Nguyen

Publication date: 7 November 2023

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Random fields (60G60) Probabilistic models, generic numerical methods in probability and statistics (65C20) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Second-order elliptic equations (35J15) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Second-order elliptic systems (35J47) Numerical approximation of high-dimensional functions; sparse grids (65D40)

Related Items (2)

Neural and spectral operator surrogates: unified construction and expression rate bounds ⋮ Uncertainty Quantification for Spectral Fractional Diffusion: Sparsity Analysis of Parametric Solutions

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