予測子・修正子型並列ブロック法とそのきざみ幅の制御

書誌事項

タイトル別名
  • Parallel Block Methods of Predictor-Corrector Type and Its Stepsize Strategy
  • 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

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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.

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