Embedded (4, 5) pairs of explicit 7-stage Runge-Kutta methods with FSAL property (2108.12590v2)

Published 28 Aug 2021 in math.NA and cs.NA

Abstract: The general case of embedded (4, 5) pairs of explicit 7-stage Runge--Kutta methods with FSAL property (a_7j = b_j, 1 <= j <= 7, c_7 = 1) is considered. Besides exceptional cases, the pairs form five 4-dimensional families. The pairs within two (already known) families satisfy the simplifying assumption sum_j a_ij c_j = c_i² / 2, i >= 3.

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Authors (1)

Misha Stepanov

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