A note on the stability of time–accurate and highly–stable explicit operators for stiff differential equations

Calvo, M. (Universidad de Zaragoza) ; Montijano, J.I. (Universidad de Zaragoza) ; Rández, L. (Universidad de Zaragoza)

Resumen: A family of Time-Accurate and highly-Stable Explicit (TASE) operators for the numerical solution of stiff IVPs that includes those proposed by Bassenne et al. (2021) [1] is proposed. In this family the TASE operator of order k depends on k free parameters in contrast with Bassenne''s family in which it depends only on one parameter to be chosen for stability and accuracy requirements. A complete study of A–stability properties is carried out for explicit RK schemes supplemented with TASE operators with order k=4. For orders 2, 3 and 4, particular schemes that are nearly strongly A–stable and therefore suitable for stiff problems are given. Some numerical experiments showing the behaviour of the methods are presented.

Idioma: Inglés

DOI: 10.1016/j.jcp.2021.110316

Año: 2021

Publicado en: Journal of Computational Physics 436 (2021), 110316 [13 pp.]
ISSN: 0021-9991

Factor impacto JCR: 4.645 (2021)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 3 / 56 = 0.054 (2021) - Q1 - T1
Categ. JCR: COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS rank: 40 / 112 = 0.357 (2021) - Q2 - T2

Factor impacto CITESCORE: 7.1 - Physics and Astronomy (Q1) - Mathematics (Q1) - Computer Science (Q1)

Factor impacto SCIMAGO: 2.069 - Applied Mathematics (Q1) - Computational Mathematics (Q1) - Physics and Astronomy (miscellaneous) (Q1) - Numerical Analysis (Q1) - Modeling and Simulation (Q1)

Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2019-109045GB-C31

Tipo y forma: Article (Published version)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)