Finite Volume Approximations for Non-linear Parabolic Problems with Stochastic Forcing

DOI10.1007/978-3-031-40864-9_10zbMath1529.65026arXiv2303.13125OpenAlexW4361287564MaRDI QIDQ6182851

Flore Nabet, Unnamed Author, Unnamed Author, Caroline Bauzet

Publication date: 22 December 2023

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.13125

zbMATH Keywords

variational approachdiffusion-convection equationupwind schemefinite-volume methodmultiplicative Lipschitz noisestochastic nonlinear parabolic equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Variational methods applied to PDEs (35A15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs with randomness, stochastic partial differential equations (35R60) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Integro-partial differential equations (35R09) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

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• Finite-volume approximation of the invariant measure of a viscous stochastic scalar conservation law
• Stochastic evolution equations

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