A method for the integration in time of certain partial differential equations

A method for the numerical solution of ordinary differential equations is analyzed that is explicit and yet can conserve the quadratic quantities conserved by the equations. The method can be a useful alternative to the usual leapfrog technique, in that it does not suffer from the occurrence of blow...

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Veröffentlicht in:	Journal of computational physics 1983-01, Vol.52 (2), p.273-289
Hauptverfasser:	Sanz-Serna, J.M, Manoranjan, V.S
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Mathematics Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	A method for the numerical solution of ordinary differential equations is analyzed that is explicit and yet can conserve the quadratic quantities conserved by the equations. The method can be a useful alternative to the usual leapfrog technique, in that it does not suffer from the occurrence of blowup phenomena. Numerical examples concerning the Korteweg-de Vries equation and the nonlinear Schrödinger equation are given.
ISSN:	0021-9991 1090-2716
DOI:	10.1016/0021-9991(83)90031-1