Petviashvili type methods for traveling wave computations: II. Acceleration with vector extrapolation methods

@article{lvarez2016PetviashviliTM,
title={Petviashvili type methods for traveling wave computations: II. Acceleration with vector extrapolation methods},
author={J. {\'A}lvarez and A. Dur{\'a}n},
journal={Mathematics and Computers in Simulation},
year={2016},
volume={123},
pages={19-36}
}

In this paper a family of fixed point algorithms, generalizing the Petviashvili method, is considered. A previous work studied the convergence of the methods. Presented here is a second part of the analysis, concerning the introduction of acceleration techniques, based on vector extrapolation, into the iterative procedures. The purpose of the research is two-fold: one is improving the performance of the methods in case of convergence and the second one is widening their application when… CONTINUE READING