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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...
This series of papers is devoted to the formulation and the approximation of coupling problems for nonlinear hyperbolic equations. The coupling across an interface in the physical space is formulated ...
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 propose new jump-adapted weak approximation schemes for stochas-tic di erential equations driven by pure-jump Levy processes.
We consider new implicit-explicit (IMEX) Runge-Kutta methods for hyperbolic systems of conservation laws with stiff relaxation terms. The explicit part is treated by a strong-stability-preserving (SSP...
This paper presents a class of high resolution local time step schemes for nonlinear hyperbolic conservation laws and the closely related convection--diffusion equations, by projecting the solution...
期刊信息 篇名 Positive Entropic Schemes for a Nonlinear Fourth-order Parabolic Equation, 语种 英文 撰写或编译 撰写 作者 Carrillo J. A.,Juengel A.,and Tang S., 第一作者单位 北京大学 刊物名称 Discrete and Continuous Dynamical Systems ...

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