局部最小正交原理及其在求解多解问题中的应用

IF 0.8 4区数学 Q2 MATHEMATICS Electronic Journal of Differential Equations Pub Date : 2023-03-27 DOI:10.58997/ejde.sp.02.l1

Meiqin Li, Jianxin Zhou

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引用次数: 0

摘要

在这篇文章中，我们建立了一个双正交原理，以及一个局部最小正交方法，它的步长规则，以及它在比以前版本更普遍的假设下的收敛性。在这样一个通用的框架下，我们从数学上证明了提出的两种求解W型问题的新算法。求解W型和混合M-W型问题的多个解的数值例子说明了该方法的灵活性。另请参阅

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Local min-orthogonal principle and its applications for solving multiple solution problems

In this article we establish a double-orthogonal principle, and a local min-orthogonal method with its step size rule, and its convergence under assumptions more general than those in its previous versions. With such a general framework, we justify mathematically the two new algorithms proposed for solving W-type problems. Numerical examples for finding multiple solutions to W-type and to mixed M-W-type problems illustrate the flexibility of this method. See also

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.