A structure-preserving local discontinuous Galerkin method for the stochastic KdV equation

被引：0

作者：

Liu, Xuewei ^{[1
]}

Yang, Zhanwen ^{[2
]}

Ma, Qiang ^{[1
]}

Ding, Xiaohua ^{[1
]}

机构：

[1] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China

[2] Harbin Inst Technol Harbin, Dept Math, Harbin 150000, Peoples R China

来源：

APPLIED NUMERICAL MATHEMATICS | 2024年 / 204卷

基金：

中国国家自然科学基金;

关键词：

Stochastic KdV equation; LDG method; Structure-preserving; Stability; Optimal error estimate; FINITE-ELEMENT-METHOD; NUMERICAL-SOLUTION; MAXWELL EQUATIONS; ALGORITHMS; WAVES;

D O I：

10.1016/j.apnum.2024.06.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes a local discontinuous Galerkin (LDG) method for the stochastic Korteweg-de Vries (KdV) equation with multi -dimensional multiplicative noise. In the mean square sense, we show that the numerical method is L2 stable and it preserves energy conservation and energy dissipation. If the degree of the polynomial is n, the optimal error estimate in the mean square sense can reach as n + 1. Finally, structure-preserving and convergence are verified by numerical experiments.

引用

页码：1 / 25

页数：25

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