Constructing Stable Difference Methods for Hyperbolic Equations

摘要: Publisher Summary This chapter discusses the construction of stable difference methods for initial-boundary value problem hyperbolic partial differential equations. There is a general stability theory Gustafsson, Kreiss, and Sundstrom these approximations, which provides necessary sufficient conditions stability. posteriori in nature. Given method, this can be used to determine whether method stable, but there little insight provided guide method. The presents certain that are stability, easily verified, applicable large class approximations. These problem. involve properties related Cauchy problems: consistency, problem, dissipativity. usually known or verified by standard techniques.