Embedded (4, 5) pairs of explicit 7-stage Runge–Kutta methods with FSAL property
Author
Stepanov, MishaAffiliation
Department of Mathematics and Program in Applied Mathematics, University of ArizonaIssue Date
2022-11-01
Metadata
Show full item recordPublisher
Springer Science and Business Media LLCCitation
Stepanov, M. (2022). Embedded (4, 5) pairs of explicit 7-stage Runge–Kutta methods with FSAL property. Calcolo, 59(4).Journal
CalcoloRights
© The Author(s) under exclusive licence to Istituto di Informatica e Telematica (IIT) 2022.Collection Information
This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.Abstract
The general case of embedded (4, 5) pairs of explicit 7-stage Runge–Kutta methods with FSAL property (a7j= bj, 1 ≤ j≤ 7 , c7= 1) is considered. Besides exceptional cases, the pairs form five 4-dimensional families. The pairs within two (already known) families satisfy the simplifying assumption ∑jaijcj=ci2/2, i≥ 3. © 2022, The Author(s) under exclusive licence to Istituto di Informatica e Telematica (IIT).Note
12 month embargo; published: 01 November 2022ISSN
0008-0624EISSN
1126-5434Version
Final accepted manuscriptae974a485f413a2113503eed53cd6c53
10.1007/s10092-022-00486-1
