Mathematics

A family of embedded Runge-Kutta formulae

J. Dormand, P. Prince

1980.3.1JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

DOI: 10.1016/0771-050x(80)90013-3

초록

Abstract A family of embedded Runge-Kutta formulae RK5 (4) are derived. From these are presented formulae which have (a) ‘small’ principal truncation terms in the fifth order and (b) extended regions of absolute stability.

인용 형식

DORMAND, J.; PRINCE, P. A family of embedded runge-kutta formulae. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1980, 6: 19–26.