25 citations · 96 across the 18 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
math.NA2013
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…
math.NA2013★ 16 cited
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,…
math.NA2013
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…