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A comparison of numerical integration subroutines using detest. (English) Zbl 0921.68008

Summary: Comparison of subroutines for solving ordinary differential equation initial value problems (ODETVP) may be made by using an established test package DETEST. The necessary preparation of subroutines for testing under DETEST is described and the performance statistics for efficiency and reliability obtained for four subroutines are summarized. It appears that subroutine VOS based on the variable-order Adams method is superior to I all the three Runge-Kutta codes tested (viz. RKF7, RKF45, RKSW), except perhaps at low accuracy if function calls are inexpensive.

MSC:

68M15 Reliability, testing and fault tolerance of networks and computer systems

Keywords:

subroutines; DETEST
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