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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…