3 papers
math.NA2025
Long-term behaviour of symmetric partitioned linear multistep methods II. Invariants error analysis for some nonlinear dispersive wave models
Begoña Cano, Angel Durán, Melquíades Rodríguez
In this paper, the use of partitioned linear multistep methods (PLMM) as time integrators for the numerical approximation of some partial differential equations (pdes) is studied.…
math.NA2025
Solitary-wave solutions of the fractional nonlinear Schrödinger equation. II. A numerical study of the dynamics
Angel Durán, Nuria Reguera
The present paper is a numerical study of the dynamics of solitary wave solutions of the fractional nonlinear Schrödinger equation, whose existence was analyzed by the authors in t…
math.NA2024
Long-term behaviour of symmetric partitioned linear multistep methods I. Global error and conservation of invariants
B. Cano, A. Durán, M. Rodríguez
In this paper an asymptotic expansion of the global error on the stepsize for partitioned linear multistep methods is proved. This provides a tool to analyse the behaviour of these…