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math.NA2026
A splitting scheme for the wave maps equation at low regularity
Katie Marsden, Frédéric Rousset, Katharina Schratz
We prove convergence of a filtered Lie splitting scheme for the wave maps equation with low regularity initial data in dimension 3. The convergence analysis is performed in discret…
math.NA2025
Resonances and computations
Yvain Bruned, Frédéric Rousset, Katharina Schratz
The computation of time dynamics arising in nonlinear time-dependent partial differential equations is an ongoing challenge in numerical analysis, especially once roughness comes i…
math.NA2024
Resonances as a computational tool
Frédéric Rousset, Katharina Schratz
A large toolbox of numerical schemes for dispersive equations has been established, based on different discretization techniques such as discretizing the variation-of-constants for…