Embedded (4, 5) pairs of explicit 7-stage Runge-Kutta methods with FSAL property
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 sumj aij cj = ci2 / 2, i >= 3.
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