Attainable Orders of Phase and Amplification Error of Explicit Parallel Runge-Kutta Methods

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概要

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• In this paper, we study the orders of the two errors, phase and amplification errors, of explicit parallel Runge-Kutta methods for the integrations of periodic initial value problems. We first give a mathematical definition of the effective stages of the parallel Runge-Kutta method. Using the result, we show that the orders of these two errors depend on the number of the effective stages in parallel executions of the methods, and that the sum of these orders is bounded by 2s +1, where s is the number of the effective stages.

• 東北大学の論文

著者

• Yamada Susumu

  Graduate School Of Information Sciences Tohoku University

• OZAWA Kazufumi

  Education Center for Information Processing, Tohoku University

• Ozawa Kazufumi

  Education Center For Information Processing Tohoku University

関連論文

• Numerical Study on Wave Propagation in a Branched Lattice of LC Circuit
• Attainable Orders of Phase and Amplification Error of Explicit Parallel Runge-Kutta Methods

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