Formulation of stable difference schemes for systems of initial-value partial differential equations

✍ Scribed by G.L. Kusic; Keith Cooper

• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 792 KB
• Volume: 296
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(73)90237-8

✦ Synopsis

A general system Of i?vitial-Value pUrtkAt d'@3Wltid eqUatiO'nS iS CkLSSified 'hat0 four categories based on the partial differential operators which defcne the equations.

SpeciJc combinations of the operators are termed "&variants" since they are common to all jinite difference approximations to the system of equations. The "invariants" are used to a priori determine if one may formulate a stable difference approximation to a system of partial differential equations. This is in essence a numerical existence theory.

* This work was sponsored in