Presents a study which constructed a class of finite difference schemes for Fisher partial differential equation. Properties of solutions for logistic equation; Construction of high fidelity algorithms; Numerical meth...Presents a study which constructed a class of finite difference schemes for Fisher partial differential equation. Properties of solutions for logistic equation; Construction of high fidelity algorithms; Numerical methods and preliminaries.展开更多
Presents a study on the cell entropy inequality for two classes of fully discrete relaxing schemes approximating scalar conservation laws. Main advantage of the schemes; Review of the construction of the relaxing syst...Presents a study on the cell entropy inequality for two classes of fully discrete relaxing schemes approximating scalar conservation laws. Main advantage of the schemes; Review of the construction of the relaxing system with a stiff source term; Conclusions.展开更多
Discusses the treatment of implicit difference approximations to hyperbolic conservation laws with non-convex flux. Information on weighted implicit difference schemes; Convergence of difference scheme; Establishment ...Discusses the treatment of implicit difference approximations to hyperbolic conservation laws with non-convex flux. Information on weighted implicit difference schemes; Convergence of difference scheme; Establishment of the convergence of the approximate solution toward the entropy solution.展开更多
基金the Science Fund of the Chinese Academy of Sciences.
文摘Presents a study which constructed a class of finite difference schemes for Fisher partial differential equation. Properties of solutions for logistic equation; Construction of high fidelity algorithms; Numerical methods and preliminaries.
基金National Natural Science Foundation (No.19901031), Special Funds for Major State Basic Research Projects of China, and the Found
文摘Presents a study on the cell entropy inequality for two classes of fully discrete relaxing schemes approximating scalar conservation laws. Main advantage of the schemes; Review of the construction of the relaxing system with a stiff source term; Conclusions.
基金the Special Funds for Major State Basic Research Projects of China (No.G1999032801) National Natural Science Foundation of C
文摘Discusses the treatment of implicit difference approximations to hyperbolic conservation laws with non-convex flux. Information on weighted implicit difference schemes; Convergence of difference scheme; Establishment of the convergence of the approximate solution toward the entropy solution.
