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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An inverse Lax-Wendroff procedure for finite difference schemes on the Cartesian grids
笛卡尔网格 有限差分格式 Lax-Wendroff逆过程
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2023/11/13
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...
Classical Conservative Properties of Five Difference Schemes for Coupled Klein-Gordon-Schr ?dinger Equations
Klein-Gordon-Schr膐dinger equations difference schemes conservation
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2012/8/7
In this paper we compare the classical conservative properties of 痸e
di甧rence schemes applied to the coupled Klein-Gordon-Schr膐dinger equations in the
quantum physics, and investigate the numerical ...
A Kind of Accelerated AOS Difference Schemes For Dual Currency Option Pricing Model
Dual currency option pricing model accelerated AOS algorithm 'explicit-implicit' scheme 'implicit-explicit' scheme second order accuracy
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2011/10/15
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...
Comparison of Finite-Element and Finite-Difference Schemes. Part II：Two-Dimensional Gravity Wave Motion
Finite-Element Finite-Difference Schemes Two-Dimensional Gravity Wave Motion
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2009/2/23
Irregular grid finite-difference techniques lead to equations similar to those obtained using finite-element techniques. The simpler finite-difference equations offer the advantage of greater computat...
Comparison of Finite-Element and Finite-Difference Schemes. Part I：One-Dimensional Gravity Wave Motion
Finite-Element One-Dimensional Gravity Wave Motion Finite-Difference Schemes
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2009/2/23
The finite-element scheme requires more computational expense because it is time-implicit and because it requires a smaller time step than the finite-difference scheme. Simulations of normal mode osci...
A FAMILY OF DIFFERENCE SCHEMES WITH FOUR NEAR-CONSERVED QUANTITIES FOR THE KdV EQUATION
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2007/12/12
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...
DIFFERENCE SCHEMES WITH NONUNIFORM MESHES FOR NONLINEAR PARABOLIC SYSTEM
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2007/12/11
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 ...
CONSTRUCTION OF VOLUME-PRESERVING DIFFERENCE SCHEMES FOR SOURCE-FREE SYSTEMS VIA GENERETING FUNCTIONS
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2007/12/11
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...
Monotone finite difference schemes for nonlinear systems with mixed quasi-monotonicity
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2007/7/28
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...