73 citations · 745 across the 45 of their papers we have counts for
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Analysis of exponential splitting methods for inhomogeneous parabolic equations
Erwan Faou, Alexander Ostermann, Katharina Schratz
We analyze the convergence of the exponential Lie and exponential Strang splitting applied to inhomogeneous second-order parabolic equations with Dirichlet boundary conditions. A r…
Convergence analysis of a discontinuous Galerkin/Strang splitting approximation for the Vlasov--Poisson equations
Lukas Einkemmer, Alexander Ostermann
A rigorous convergence analysis of the Strang splitting algorithm with a discontinuous Galerkin approximation in space for the Vlasov--Poisson equations is provided. It is shown th…
Convergence analysis of Strang splitting for Vlasov-type equations
Lukas Einkemmer, Alexander Ostermann
A rigorous convergence analysis of the Strang splitting algorithm for Vlasov-type equations in the setting of abstract evolution equations is provided. It is shown that under suita…