A generalized relaxed positive-definite and skew-Hermitian splitting preconditioner for non-Hermitian saddle point problems
A generalized relaxed positive-definite and skew-Hermitian splitting preconditioner for non-Hermitian saddle point problems
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DOI：
10.1016/j.amc.2015.01.119
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发表时间：
2015-05
期刊：
影响因子：
--
通讯作者：
Hong-Tao Fan;Xin-yun Zhu
中科院分区：
文献类型：
--
作者：
Hong-Tao Fan;Xin-yun Zhu
本分析的目的是应用两个相对较新的方法，减少微分变换法（RDTM）和微分变换法（DTM），平衡法系统的解决方案。导出了新的广义变换公式。新的方法提供了一个快速收敛的系列的形式的解决方案，易于计算的组件在RDTM的情况下，和昂贵的组件的DTM。两种方法的比较表明，RDTM是更有效的，效率高，功能强大，能够适用于大类非线性偏微分方程比DTM。两个测试建模问题进行了讨论，以说明RDTM的有效性和性能。
The aim of the present analysis is to apply two relatively recent methods, reduced differential transform method (RDTM) and differential transform method (DTM), for the solution of balance law systems. New generalized transformed formulas are derived. The new approaches provided the solution in the form of a rapidly convergent series with easily computable components in the RDTM case, and costly components for the DTM. A comparison between the two methodologies shows that the RDTM is more effective, efficient, powerful and able to be applicable for large class of nonlinear partial differential equations than the DTM. Two test modeling problems are discussed to illustrate the effectiveness and performance of RDTM.