2026-04-27T21:43:37Zhttps://uvadoc.uva.es/oai/request
oai:uvadoc.uva.es:10324/258262021-06-23T11:39:17Zcom_10324_1176com_10324_931com_10324_894col_10324_1359
Petviashvili type methods for traveling wave computations: II. Acceleration with vector extrapolation methods. Álvarez López, Jorge Durán Martín, Ángel 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 through several numerical experiments is carried out. 2017-09-21 2017-09-21 2016 info:eu-repo/semantics/article Mathematics and Computers in Simulation, 2016, vol. 123, p. 19-36. http://uvadoc.uva.es/handle/10324/25826 10.1016/j.matcom.2015.10.015 eng http://www.sciencedirect.com/science/article/pii/S0378475415002785 info:eu-repo/semantics/restrictedAccess International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. Elsevier