Highly stable general linear methods for differential systems

R. D'Ambrosio, G. Izzo, Zdzislaw Jackiewicz

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

We describe search for A-stable and algebraically stable general linear methods of order p and stage order q = p or q = p - 1. The search for A-stable methods is based on the Schur criterion applied for specific methods with stability polynomial of reduced degree. The search for algebraically stable methods is based on the sufficient conditions proposed recently by Hill.

Original languageEnglish (US)
Title of host publicationNumerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
Pages21-24
Number of pages4
DOIs
StatePublished - 2009
EventInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 - Rethymno, Crete, Greece
Duration: Sep 18 2009Sep 22 2009

Publication series

NameAIP Conference Proceedings
Volume1168
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
CountryGreece
CityRethymno, Crete
Period9/18/099/22/09

Keywords

  • A-stability
  • Algebraic stability
  • General linear methods
  • Stability analysis

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Highly stable general linear methods for differential systems'. Together they form a unique fingerprint.

  • Cite this

    D'Ambrosio, R., Izzo, G., & Jackiewicz, Z. (2009). Highly stable general linear methods for differential systems. In Numerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 (pp. 21-24). (AIP Conference Proceedings; Vol. 1168). https://doi.org/10.1063/1.3241431