离散现象与波的有限传播法

Discrete Phenomena and Method of Finit Propagation of Wave

综述20多年来双曲型方程组问题函数方程方法的理论研究、数值计算以及实际应用,这一领域的状况.

Since 1964, plane problems of hyperbolic systems of partial differential equations have been studied for their unique solvability, numerical method and application by a series of papers. The three main contents of this academic sphere is introduced in this paper: (1) Discrete phenomena in unique solvability of plane problems of hyperbolic systems of partial differential equations, and the essential relation betweem discrte phenomena and charactristic value of matrix. (2) The numerical method for functional equations and the application of hyperbolic system method on microwave technique (directional coupler). (3) The effect of the lower order terms on the property of hyperbolic systems of partial differential equations.