PARALLEL ITERATION OF SYMMETRICAL RUNGE-KUTTA METHODS FOR NONSTIFF INITIAL-VALUE PROBLEMS

[摘要] This paper discusses parallel iteration schemes for collocation-based, symmetric Runge-Kutta (SRK) methods for solving nonstiff initial-value problems. Our main result is the derivation of four A-stable SRK corrector methods of orders 4, 6, 8 and 10 that optimize the rate of convergence when iterated by means of the highly parallel fixed-point iteration process. The resulting PISRK method (parallel iterated SRK method) shows considerably increased efficiency when compared with the fixed-point iteration process applied to Gauss-Legendre correctors.

[发布日期] 1994-05-30

[关键词] RUNGE-KUTTA METHODS;PREDICTOR-CORRECTOR METHODS;PARALLELISM