Error estimates of finite difference schemes for the Korteweg–de Vries equation

C Courtès, F Lagoutière… - IMA Journal of Numerical …, 2020 - academic.oup.com
This article deals with the numerical analysis of the Cauchy problem for the Korteweg–de
Vries equation with a finite difference scheme. We consider the explicit Rusanov scheme for …

High-performance computing of structure-preserving algorithm for the coupled BBM system formulated by weighted compact difference operators

K Poochinapan, B Wongsaijai - Mathematics and Computers in Simulation, 2023 - Elsevier
A compact difference operator is a valuable technique which has been used to develop
numerical schemes capable of solving various types of differential equations. Advantages of …

Local Discontinuous Galerkin Methods for the abcd Nonlinear Boussinesq System

J Sun, S **e, Y **ng - Communications on Applied Mathematics and …, 2022 - Springer
Boussinesq type equations have been widely studied to model the surface water wave. In
this paper, we consider the abcd Boussinesq system which is a family of Boussinesq type …

[書籍][B] Discontinuous Galerkin method for Boussinesq system and stochastic Maxwell equations

J Sun - 2022 - search.proquest.com
Partial differential equations (PDEs) are commonly used for characterizing physical
phenomena such as shallow water equations, water wave problems, electromagnetism, etc …