78 citations · 99 across the 4 of their papers we have counts for
4 papers
Exponential time integration for 3D compressible atmospheric models
Greg Rainwater, Kevin C. Viner, P. Alex Reinecke
Recent advancements in evaluating matrix-exponential functions have opened the doors to the practical use of exponential time-integration methods in numerical weather prediction (N…
KIOPS: A fast adaptive Krylov subspace solver for exponential integrators
Stéphane Gaudreault, Greg Rainwater, Mayya Tokman
This paper presents a new algorithm KIOPS for computing linear combinations of -functions that appear in exponential integrators. This algorithm is suitable for large-scale prob…
Preconditioned Implicit-Exponential (IMEXP) Time Integrators for Stiff Differential Equations
Vu Thai Luan, Mayya Tokman, Greg Rainwater
We propose two new classes of time integrators for stiff DEs: the implicit-explicit exponential (IMEXP) and the hybrid exponential methods. In contrast to the existing exponential…
A new approach to constructing efficient stiffly accurate exponential propagation iterative methods of Runge-Kutta type (EPIRK)
Greg Rainwater, Mayya Tokman
The structural flexibility of the exponential propagation iterative methods of Runge-Kutta type (EPIRK) enables construction of particularly efficient exponential time integrators.…