Maximilian Ruff

collaborators

3 papers

math.NA2026

Error analysis of the Strang splitting for the 3D semilinear wave equation with finite-energy data

Maximilian Ruff

We study a variant of the Strang splitting for the time integration of the semilinear wave equation under the finite-energy condition on the torus $T^{3}$ . In the case of a…

math.NA2026

Improved error estimates for low-regularity integrators using space-time bounds

Maximilian Ruff

We prove optimal convergence rates for certain low-regularity integrators applied to the one-dimensional periodic nonlinear SchrÃ¶dinger and wave equations under the assumption of…

math.NA2025

Error analysis of the Lie splitting for semilinear wave equations with finite-energy solutions

Maximilian Ruff, Roland Schnaubelt

We study time integration schemes for $H ˙^{1}$ -solutions to the energy-(sub)critical semilinear wave equation on $R^{3}$ . We show first-order convergence in $L^{2}$ for the…