RT info:eu-repo/semantics/article
T1 Petviashvili type methods for traveling wave computations: II. Acceleration with vector extrapolation methods.
A1 Álvarez López, Jorge
A1 Durán Martín, Ángel
AB 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 generating traveling waves in nonlinear dispersive wave equations, transforming some divergent into convergent cases. A comparative study throughseveral numerical experiments is carried out.
PB Elsevier
YR 2016
FD 2016
LK http://uvadoc.uva.es/handle/10324/25826
UL http://uvadoc.uva.es/handle/10324/25826
LA eng
NO Mathematics and Computers in Simulation, 2016, vol. 123, p. 19-36.
DS UVaDOC
RD 07-ago-2024