The extended space technique for hybird computer solution of partial differential equations

Abstract

The rapid solution of partial differential equations (PDE) has been a subject of increasing interest in recent years. This interest in partly due to advances in areas of technology which require the solution of PDEs, but is primarily due to the need to apply modern optimization and identification techniques to the spatially continuous systems that are best modeled by PDEs. The parallel organization of the analog subsection of a hybrid computer facilitates extremely rapid solutions of complicated systems of ordinary differential equations (ODEs). Therefore, techniques to find a system of ODEs that can be solved to obtain a rapid approximate solution to a PDE on the hybrid computer have become the subject of intensive investigation.