Petviashvili type methods for traveling wave computations: I. Analysis of convergence
Numerical Analysis
2013-11-12 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1311.2546,
title = {Petviashvili type methods for traveling wave computations: I. Analysis of convergence},
author = {J. Alvarez and A. Duran},
journal= {arXiv preprint arXiv:1311.2546},
year = {2013}
}