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In this talk, we introduce the so-called inverse Lax-Wendroff (ILW) boundary treatment for finite difference approximations on the Cartesian mesh. As the domain boundary may intersect with the grid in...
In this paper we compare the classical conservative properties of 痸e dirence schemes applied to the coupled Klein-Gordon-Schr膐dinger equations in the quantum physics, and investigate the numerical ...
Black-Scholes equation of Dual currency option pricing is a typical multi-asset option pricing model, and it is important to research it's numerical value. This paper uses the accelerated additive ope...
We construct and analyze a family of semi-discretized difference schemes with two parameters for the Korteweg-de Vries (KdV) equation. The scheme possesses the first four near-conserved quantities f...
The boundary value problem for the nonlinear parabolic system is solved by the finite difference method with nonuniform meshes. The existence and a priori estemates of the discrete vector solutions ...
I.Introduction Source-free dynamical systems are of great importance in many branches of physics. A significant subject for such systems is to design "proper" numerical algorithms. Since the phase flo...
期刊信息 篇名 Monotone finite difference schemes for nonlinear systems with mixed quasi-monotonicity 语种 英文 撰写或编译 作者 王元明,郭本瑜 第一作者单位 刊物名称 Journal of Mathematics Analysis and Applications 页面 267, 599—625, 2002...

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