2 papers
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 equa…
math.NA2023
Overcoming the order barrier two in splitting methods when applied to semilinear parabolic problems with non-periodic boundary conditions
Ramona Häberli
In general, high order splitting methods suffer from an order reduction phenomena when applied to the time integration of partial differential equations with non-periodic boundary…