2 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, MelquÃades RodrÃguez
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.NA2024
Long-term behaviour of symmetric partitioned linear multistep methods I. Global error and conservation of invariants
B. Cano, A. Durán, M. RodrÃguez
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…