Embedded diagonally implicit Runge-Kutta algorithms on parallel computers:

Abstract: "This paper investigates diagonally implicit Runge-Kutta methods in which the implicit relations can be solved in parallel and are singly diagonally implicit on each processor. The algorithms are based on diagonally implicit iteration of fully implicit Runge-Kutta methods. The iterati...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Houwen, Pieter J. van der (VerfasserIn), Sommeijer, Ben P. ca. 20. Jh (VerfasserIn), Couzy, W. (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Amsterdam 1989
Schriftenreihe:Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1989,12
Schlagworte:
Zusammenfassung:Abstract: "This paper investigates diagonally implicit Runge-Kutta methods in which the implicit relations can be solved in parallel and are singly diagonally implicit on each processor. The algorithms are based on diagonally implicit iteration of fully implicit Runge-Kutta methods. The iteration scheme is chosen in such a way that the resulting algorithm is A([alpha])-stable or L([alpha])-stable with [alpha] equal or very close to [pi]/2. Because of the iterative nature of the methods, embedded formulas of lower orders are automatically available allowing a strategy for step order variation."
Beschreibung:19 S. graph. Darst.

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