Numerical Simulations for Parabolic Stochastic Equations Using a Structure-Preserving Local Discontinuous Galerkin Method

Numerical Simulations for Parabolic Stochastic Equations Using a Structure-Preserving Local Discontinuous Galerkin Method

In this paper, a structure-preserving local discontinuous Galerkin (LDG) method is proposed for parabolic stochastic partial differential equations with periodic boundary conditions and multiplicative noise. It is proven that under certain conditions, this numerical method is stable in the <inlin...

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Bibliographic Details
Main Authors: Mengqin Han, Zhenyu Wang, Xiaohua Ding
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Axioms
Subjects:
parabolic stochastic partial differential equations
LDG method
structure-preserving
stability
optimal error estimate
Online Access:https://www.mdpi.com/2075-1680/14/5/357
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