A polyvalent Runge-Kutta triple
A Runge-Kutta triple is derived consisting of a main formula of order 7, a formula of order 5 for local error estimation and a continuous extension formula of order 5. A family of such triples depending on 6 parameters is considered. The criteria used in selecting the method include accuracy and stability of the main formula and measures of the quality of the local error estimate and the continuous extension. Testing against comparable methods is reported for some delay equations and for the DETEST set of problems.
scientific article; zbMATH DE number 644293
scientific article