Two-step runge-kutta methods with quadratic stability functions

D. Conte, R. D'Ambrosio, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

We describe the construction of implicit two-step Runge-Kutta methods with stability properties determined by quadratic stability functions.We will aim for methods which are A-stable and L-stable and such that the coefficients matrix has a one point spectrum. Examples of methods of order up to eight are provided.

Original languageEnglish (US)
Pages (from-to)191-218
Number of pages28
JournalJournal of Scientific Computing
Volume44
Issue number2
DOIs
StatePublished - Aug 2010

Fingerprint

Two-step Runge-Kutta Methods
Quadratic Stability
Runge Kutta methods
Convergence of numerical methods
Point Spectrum
Implicit Method
Coefficient

Keywords

  • A-stability
  • Absolute stability
  • L-stability
  • Order conditions
  • Quadratic stability polynomials
  • Two-step Runge-Kutta methods

ASJC Scopus subject areas

  • Software
  • Computational Theory and Mathematics
  • Theoretical Computer Science
  • Engineering(all)

Cite this

Two-step runge-kutta methods with quadratic stability functions. / Conte, D.; D'Ambrosio, R.; Jackiewicz, Zdzislaw.

In: Journal of Scientific Computing, Vol. 44, No. 2, 08.2010, p. 191-218.

Research output: Contribution to journalArticle

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