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首页> 外文期刊>Mathematical Methods in the Applied Sciences >Stabilized semi-implicit spectral deferred correction methods for Allen-Cahn and Cahn-Hilliard equations
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Stabilized semi-implicit spectral deferred correction methods for Allen-Cahn and Cahn-Hilliard equations

机译:Allen-Cahn和Cahn-Hilliard方程的稳定的半隐式谱递延校正方法

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摘要

Stabilized semi-implicit spectral deferred correction methods are constructed for the time discretization of Allen-Cahn and Cahn-Hilliard equations. These methods are unconditionally stable, lead to simple linear system to solve at each iteration, and can achieve high-order time accuracy with a few iterations in each time step. Ample numerical results are presented to demonstrate the effectiveness of the stabilized semi-implicit spectral deferred correction methods for solving the Allen-Cahn and Cahn-Hilliard equations. Copyright (C) 2013 John Wiley & Sons, Ltd.
机译:针对Allen-Cahn和Cahn-Hilliard方程的时间离散,构造了稳定的半隐式谱延迟校正方法。这些方法是无条件稳定的,可以在每个迭代中求解简单的线性系统,并且可以在每个时间步中进行几次迭代即可获得高阶时间精度。大量的数值结果被证明来证明稳定的半隐式谱递延校正方法对于解决Allen-Cahn和Cahn-Hilliard方程的有效性。版权所有(C)2013 John Wiley&Sons,Ltd.

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