16 citations · 18 across the 5 of their papers we have counts for
5 papers
Numerical generation of periodic traveling wave solutions of some nonlinear dispersive wave equations
J. Alvarez, A. Duran
Proposed in this paper is a numerical procedure to generate periodic traveling wave solutions of some nonlinear dispersive wave equations. The method is based on a suitable modific…
On Petviashvili type methods for traveling wave computations: Acceleration techniques
J. Alvarez, A. Duran
In this paper a family of fixed point algorithms, generalizing the \PM method, is considered. A previous work studied the convergence of the methods. Presented here is a second par…
Petviashvili type methods for traveling wave computations: I. Analysis of convergence
J. Alvarez, A. Duran
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 generalize…
An extended Petviashvili method for the numerical generation of traveling and localized waves
J. Alvarez, A. Duran
A family of fixed-point iterations is proposed for the numerical computation of traveling waves and localized ground states. The methods are extended versions of Petviashvili type,…
Numerical resolution of algebraic equations with symmetries
J. Alvarez, A. Duran
Studied here is the effect of the presence of symmetry groups in a system of algebraic equations on the numerical resolution with fixed-point algorithms. It is proved that the symm…