Parallel Block Methods of Predictor-Corrector Type and Its Stepsize Strategy

DOI Web Site 1 Citations 19 References

Bibliographic Information

Other Title
  • 予測子・修正子型並列ブロック法とそのきざみ幅の制御
  • ヨソクシ シュウセイシガタ ヘイレツ ブロックホウ ト ソノ キザミハバ ノ

Search this article

Description

Parallel block methods with a stepsize strategy are developed for solving nonstiff initial value problems on parallel computers. The block methods use the predictor-corrector iteration, which makes it easy to exploit "parallelism across the method" for the solutions of nonlinear equations. The stepsize strategy used in the methods is based on Milne's device which estimates the local error using the predicted and corrected values. Numerical experiments are carried out on a KSR1 parallel computer in order to show the performance of the block methods. The computational costs, errors and speed-up ratios of the block methods are compared with those of the PIRK(parallel iterated Runge-Kutta) by Houwen et al.

Journal

Citations (1)*help

See more

References(19)*help

See more

Details 詳細情報について

Report a problem

Back to top