3 papers
math.NA2026
Second-order bulk-surface splitting for the wave equation with kinetic boundary conditions
R. Altmann, R. Morandin
This paper is devoted to the numerical analysis of a second-order bulk--surface splitting scheme for the semi-linear wave equation with kinetic boundary conditions. The constructio…
math.NA2026
Decoupling Runge-Kutta schemes for elliptic-parabolic problems
Robert Altmann, Abdullah Mujahid, Benjamin Unger
We study the construction and convergence of semi-explicit and iterative decoupling schemes for an elliptic-parabolic problem using higher-order Runge-Kutta methods. For the semi-e…
math.NA2025
Decoupling multistep schemes for elliptic-parabolic problems
Robert Altmann, Abdullah Mujahid, Benjamin Unger
We study the construction and convergence of decoupling multistep schemes of higher order using the backward differentiation formulae for an elliptic-parabolic problem, which inclu…