求解双曲方程的隐式差分方程的加速并行迭代法
首发时间:2010-03-31
摘要:本文主要研究双曲方程隐式差分格式并行迭代的加速方法,算法改进了分裂矩阵的方法,提高了迭代的收敛速度。理论分析证明了它的收敛性和渐进收敛性质。数值试验证明了理论分析的正确性,表明了算法的可行性和有效性。
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Parallel algorithm of accelerative iteration for solving implicit difference scheme of Hyperbolic PDE
Abstract:This paper mainly studies the parallel algorithm of accelerative iteration for solving implicit difference equation of the hyperbolic equation.Algorithm improves matrix splitting method, raises the iterative convergence. The theoretical analyses proves the convergence of the iteration and the properties of asymptotic convergence. The numerical examples show that the analyses are correct and the algorithm is feasible and efficient.
Keywords: hyperbolic equation acceleratively parallel iteration convergence
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No.4137452192012700****
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求解双曲方程的隐式差分方程的加速并行迭代法
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