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 Citations (Scopus)

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 publicationAIP Conference Proceedings
Pages21-24
Number of pages4
Volume1168
DOIs
StatePublished - 2009
EventInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 - Rethymno, Crete, Greece
Duration: Sep 18 2009Sep 22 2009

Other

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

Fingerprint

polynomials

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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

Highly stable general linear methods for differential systems. / D'Ambrosio, R.; Izzo, G.; Jackiewicz, Zdzislaw.

AIP Conference Proceedings. Vol. 1168 2009. p. 21-24.

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

D'Ambrosio, R, Izzo, G & Jackiewicz, Z 2009, Highly stable general linear methods for differential systems. in AIP Conference Proceedings. vol. 1168, pp. 21-24, International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009, Rethymno, Crete, Greece, 9/18/09. https://doi.org/10.1063/1.3241431
D'Ambrosio R, Izzo G, Jackiewicz Z. Highly stable general linear methods for differential systems. In AIP Conference Proceedings. Vol. 1168. 2009. p. 21-24 https://doi.org/10.1063/1.3241431
D'Ambrosio, R. ; Izzo, G. ; Jackiewicz, Zdzislaw. / Highly stable general linear methods for differential systems. AIP Conference Proceedings. Vol. 1168 2009. pp. 21-24
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