求解抛物型方程的紧差分方程的加速并行迭代法
首发时间:2010-03-31
摘要:本文主要研究了抛物方程的紧式差分方程的加速分段并行迭代法。证明了迭代的收敛性,推出了网格加密时迭代的收敛性质。理论分析表明该迭代方法有很好的精度,并且有很好的收敛速度和渐进收敛性质。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 compact difference scheme of Parabolic PDE
Abstract:This paper mainly studies the parallel algorithm of accelerative iteration for solving compact difference scheme of Parabolic PDE. Proves the convergence of the iteration. and the properties of asymptotic convergence. The theoretical analyses shows that the algorithm has good precision.In addition, the good convergent rate and properties of asymptotic convergence are obtained. The numerical examples show that the analyses are correct, and the algorithm is feasible and efficient.
Keywords: compact difference equation parallel iteration property of asymptotic convergence
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No.4137952192012700****
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求解抛物型方程的紧差分方程的加速并行迭代法
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