Hydrid assumed mode solution of non-linear partial differential equations

Abstract

Economical solution of partial differential equations (PDEs) is necessary for the solution of many pressing optimization, identification, design and simulation problems involving spatially continuous systems. The hybrid computer with its parallel organization promises to provide this necessary economy through a combination of increased solution speed and reduced equipment cost with respect to stand alone digital computer methods. This paper presents a hybrid computer oriented assumed mode solution method for non-linear PDEs which are initial value problems in a time-like independent variable. (To facilitate discussion, PDEs with these characteristics are referred to as Dynamic PDEs.) Several examples illustrating the efficiency of the method are included.