73 citations · 745 across the 45 of their papers we have counts for
3 papers · 2 filters
A Lawson-type exponential integrator for the Korteweg-de Vries equation
Alexander Ostermann, Chunmei Su
We propose an explicit numerical method for the periodic Korteweg-de Vries equation. Our method is based on a Lawson-type exponential integrator for time integration and the Rusano…
A Fourier integrator for the cubic nonlinear Schrödinger equation with rough initial data
Marvin Knöller, Alexander Ostermann, Katharina Schratz
Standard numerical integrators suffer from an order reduction when applied to nonlinear Schrödinger equations with low-regularity initial data. For example, standard Strang splitti…
Convergence of a low-rank Lie--Trotter splitting for stiff matrix differential equations
Alexander Ostermann, Chiara Piazzola, Hanna Walach
We propose a numerical integrator for determining low-rank approximations to solutions of large-scale matrix differential equations. The considered differential equations are semil…