A PARALLEL DIRK METHOD FOR STIFF INITIAL-VALUE PROBLEMS

[摘要] In this note we propose a fast parallel iteration process for solving a low-order implicit Runge-Kutta method. The resulting scheme can be regarded as a parallel singly diagonally implicit Runge-Kutta (PDIRK) method. On a two-processor computer, this method requires effectively the solution of two implicit relations per step. By two numerical experiments we compare this method with some sequential methods from the literature, and show its efficient behaviour.

[发布日期] 1994-09-20

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