2 papers
math.NA2026
Explicit stabilized implementation of singly diagonally implicit Runge-Kutta methods
Ibrahim Almuslimani, Gilles Vilmart, Konstantinos Zygalakis
Implicit methods are a natural approach for the integration of stiff differential equations, to avoid time-step restrictions faced by standard explicit integrators. Explicit stabil…
math.NA2026
Arbitrary high order splitting methods for linear Schr{ö}dinger equations with non-trivial compatibility conditions
Joackim Bernier, Ramona Häberli, Gilles Vilmart
Splitting methods are a natural choice for the numerical time integration of partial differential equations, and arbitrary high order splitting schemes exist for Schr{ö}dinger equ…