Embedded (4, 5) pairs of explicit 7-stage Runge–Kutta methods with FSAL property

Misha Stepanov

doi:10.1007/s10092-022-00486-1

Embedded (4, 5) pairs of explicit 7-stage Runge–Kutta methods with FSAL property

Misha Stepanov

Research output: Contribution to journal › Article › peer-review

Abstract

The general case of embedded (4, 5) pairs of explicit 7-stage Runge–Kutta methods with FSAL property (a₇_j= b_j, 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.

Original language	English (US)
Article number	41
Journal	Calcolo
Volume	59
Issue number	4
DOIs	https://doi.org/10.1007/s10092-022-00486-1
State	Published - Nov 2022

Keywords

Adaptive step size control
Embedded pairs of Runge–Kutta methods

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics

Access to Document

10.1007/s10092-022-00486-1

Cite this

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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.",

keywords = "Adaptive step size control, Embedded pairs of Runge–Kutta methods",

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KW - Adaptive step size control

KW - Embedded pairs of Runge–Kutta methods

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