Highest possible order of algebraically stable diagonally implicit Runge-Kutta methods

Hairer, Ernst

doi:10.1007/BF01933200

Scientific article

English

Highest possible order of algebraically stable diagonally implicit Runge-Kutta methods

ContributorsHairer, Ernst

Published inBIT, vol. 20, no. 2, p. 254-256

Publication date1980

Abstract

We prove that the highest possible order of an algebraically stable diagonally implicit RK-method is four; the highest possible order of a circle contractive singly diagonally implicit RK-method is four; the highest possible order of a circle contractive diagonally implicit RK-method is six.

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

HAIRER, Ernst. Highest possible order of algebraically stable diagonally implicit Runge-Kutta methods. In: BIT, 1980, vol. 20, n° 2, p. 254–256. doi: 10.1007/BF01933200

Identifiers

PID : unige:12543
DOI : 10.1007/BF01933200

Additional URL for this publicationhttp://www.springerlink.com/content/p478458l02k37420/

Journal ISSN0006-3835

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Highest possible order of algebraically stable diagonally implicit Runge-Kutta methods

We prove that the highest possible order of an algebraically stable diagonally implicit RK-method is four; the highest possible order of a circle contractive singly diagonally implicit RK-method is four; the highest possible order of a circle contractive diagonally implicit RK-method is six.

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