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求解刚性常微分方程的并行Rosenbrock方法 被引量:14

PARALLEL ROSENBROCK METHODS FOR STIFF ORDINARY DIFFERENTIAL EQUATIONS
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摘要 In this paper a class of parallel Rosenbrock Formulas in real-time simulation is constructed for the multiprocessor system. A-stable formulas of two-stage thirdorder and A(α)-stable formulas with α≈87° of three-stage forth-order are constructed. The numerical examples demonstrate that these formulas can solve the initial problems for the stiff ordinary differential equations with high efficiency. In this paper a class of parallel Rosenbrock Formulas in real-time simulation is constructed for the multiprocessor system. A-stable formulas of two-stage thirdorder and A(α)-stable formulas with α≈87° of three-stage forth-order are constructed. The numerical examples demonstrate that these formulas can solve the initial problems for the stiff ordinary differential equations with high efficiency.
出处 《计算数学》 CSCD 北大核心 1998年第3期251-260,共10页 Mathematica Numerica Sinica
关键词 并行算法 常微分方程 Rosenbrock公式 实时仿真 multiprocessor system, parallel algorithms, ordinarydifferential equations, rosenbrock formulas, real-timesimulation
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