73 citations · 745 across the 45 of their papers we have counts for
4 papers · 1 filter
Exponential Integrators on Graphic Processing Units
Lukas Einkemmer, Alexander Ostermann
In this paper we revisit stencil methods on GPUs in the context of exponential integrators. We further discuss boundary conditions, in the same context, and show that simple bounda…
An almost symmetric Strang splitting scheme for nonlinear evolution equations
Lukas Einkemmer, Alexander Ostermann
In this paper we consider splitting methods for the time integration of parabolic and certain classes of hyperbolic partial differential equations, where one partial flow can not b…
Explicit exponential Runge-Kutta methods of high order for parabolic problems
Vu Thai Luan, Alexander Ostermann
Exponential Runge-Kutta methods constitute efficient integrators for semilinear stiff problems. So far, however, explicit exponential Runge-Kutta methods are available in the liter…
An almost symmetric Strang splitting scheme for the construction of high order composition methods
Lukas Einkemmer, Alexander Ostermann
In this paper we consider splitting methods for nonlinear ordinary differential equations in which one of the (partial) flows that results from the splitting procedure can not be c…