Single cell high order difference methods for the Helmholtz equation

A procedure for deriving certain high order difference formulas for the Helmholtz equation is given. Families of formulas of order 2, 4, and 6 are derived. The distinction between “atomic” and “nonatomic” formulas is made, and a nonatomic formula of order 4 is given for a similar equation with varia...

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Veröffentlicht in:	Journal of computational physics 1983-01, Vol.51 (3), p.444-453
Hauptverfasser:	Manohar, Ram P, Stephenson, John W
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Mathematics Numerical analysis Numerical analysis. Scientific computation Partial differential equations, miscellaneous problems Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	A procedure for deriving certain high order difference formulas for the Helmholtz equation is given. Families of formulas of order 2, 4, and 6 are derived. The distinction between “atomic” and “nonatomic” formulas is made, and a nonatomic formula of order 4 is given for a similar equation with variable coefficients. Numerical results using these formulas are given.
ISSN:	0021-9991 1090-2716
DOI:	10.1016/0021-9991(83)90163-8