Convergence of time-splitting approximations for degenerate convection-diffusion equations with a random source
type: Item
instance of: scholarly article
title: Convergence of time-splitting approximations for degenerate convection-diffusion equations with a random source
zbMATH Open document ID: 1472.65099
author: Roberto Díaz-Adame
author: Silvia Jerez
published in: Journal of Numerical Mathematics
publication date: 2021-05-12T00:00:00Z
review text: In this paper authors propose a time-splitting method for degenerate convectionś-diffusion equations perturbed stochastically by white noise. This work generalizes previous results on splitting operator techniques for stochastic hyperbolic conservation laws for the degenerate parabolic case. The convergence in \(L_{\mathrm{loc}}^p\) of the time-splitting operator scheme to the unique weak entropy solution is proven. Moreover, we analyze the performance of the splitting approximation by computing its convergence rate and showing numerical simulations for some benchmark examples, including a luid low application in porous media.
reviewed by: Qifeng Zhang
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 60H40
Mathematics Subject Classification ID: 60H35
Mathematics Subject Classification ID: 35K35
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 7347663
zbMATH Keywords: time-splitting method
zbMATH Keywords: degenerate parabolic equations
zbMATH Keywords: multiplicative noise
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: jnma-2020-0012
OpenAlex ID: W3091763838
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DOI: 10.1515/JNMA-2020-0012
description: scientific article; zbMATH DE number 7347663