Stochastic Spectral Formulations for Elliptic Problems
DOI10.1007/978-3-642-04107-5_33zbMath1184.65006OpenAlexW1851218626MaRDI QIDQ3405463
Publication date: 15 February 2010
Published in: Monte Carlo and Quasi-Monte Carlo Methods 2008 (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/inria-00340708/file/Maire_Tanre.pdf
numerical testserror boundsconditioningPoisson equationFeynman-Kac formulaanisotropic diffusion equationMonte Carlo approximationsstochastic spectral formulationstensor product Chebyshev polynomial basis
Monte Carlo methods (65C05) Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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