Parallelizable ROW Methods for Linear Variable-coefficient System of ODEs (ハイパフォーマンスコンピューティングシステム) -- (数値解析・並列数値処理)

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概要

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• Huge and stiff systems of the form y'=L(t)y+F(t)are often required to be solved numerically. When L and F are time-independent, A-stable and parallelizable IRK methods are known. This note is devoted to a trial for parallelizable ROW methods of the time-dependent linear system of ODEs. Single- and two-stage ROW methods of good AN-stability are given of the second and third order, respectively. Numerical tests confirm the convergence as well as the performance on a parallel cluster computing environment of two 2-CPUs.

• 一般社団法人情報処理学会の論文
• 2001-08-15

著者

• Mitsui Taketomo

  Graduate School Of Human Informatics Nagoya University

• ESAKI NOBUYUKI

  Toyota National College of Technology

関連論文

• Parallel Predictor-Corrector Iteration of Pseudo Two-Step RK Methods for Nonstiff IVPs
• A Class of Explicit Parallel Two-Step Runge-Kutta Methods
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• Parallelizable Block Rosenbrock Methods for Linear Variable-coefficient System of ODEs(Algorithm & Numerical Computation)
• Parallelizable ROW Methods for Linear Variable-coefficient System of ODEs (ハイパフォーマンスコンピューティングシステム) -- (数値解析・並列数値処理)
• Unique Solvability of Nonlinear Systems Arising in the Multiderivative Block Methods
• Predator-Prey Dynamics with Delay when Prey Dispersing in n-Patch Environment
• Finite-band Solutions of the Dirac Soliton Equation throrugh a Reduction Technique
• Stability of Linear Delay Differential Systems with Matrices Having Common Eigenvectors

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