Petviashvili type methods for traveling wave computations: I. Analysis of convergence

被引：26

作者：

Alvarez, J. ^{[1
,2
]}

Duran, A. ^{[1
,2
]}

机构：

[1] Univ Valladolid, Dept Appl Math, E-47011 Valladolid, Spain

[2] Univ Valladolid, Inst Math, IMUVA, E-47002 Valladolid, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2014年 / 266卷

关键词：

Petviashvili type methods; Traveling wave generation; Iterative methods for nonlinear systems; Orbital convergence; INTERNAL WAVES; ITERATION METHODS; SOLITARY; SOLITONS; EQUATION; FLUIDS; FORM;

D O I：

10.1016/j.cam.2014.01.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a family of fixed point algorithms for the numerical resolution of some systems of nonlinear equations is designed and analyzed. The family introduced here generalizes the Petviashvili method and can be applied to the numerical generation of traveling waves in some nonlinear dispersive systems. Conditions for the local convergence are derived and numerical comparisons between different elements of the family are carried out. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：39 / 51

页数：13

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