Runge-Kutta triples
摘要：
The addition of a third Runge-Kutta (RK) formula to an embedded pair, forming an RK triple, can yield an algorithm which gives solutions of appropriate asymptotic accuracy at points within the normal step intervals in the numerical solution of the initial-value problem. Two modes of implementation are possible, and it is shown that these can be regarded as equivalent when certain conditions are satisfied. An optimized RK5(4) triple, based on a particularly efficient embedded pair, is presented and tested. The results indicate the efficiency of the "dense" output technique.
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关键词：
Theoretical or Mathematical, Experimental/ differential equations initial value problems Runge-Kutta methods/ Runge-Kutta triples embedded pair initial-value problem optimised RK5(4) triple/ B0290P Differential equations (numerical analysis) C4170 Differential equations (numerical analysis)
DOI：
10.1016/0898-1221(86)90025-8
被引量：
年份：
1986
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