78 citations · 95 across the 4 of their papers we have counts for
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Low-synchronization Arnoldi Methods for the Matrix Exponential with Application to Exponential Integrators
Tanya Tafolla, Stéphane Gaudreault, Mayya Tokman
High order exponential integrators require computing linear combination of exponential like -functions of large matrices times a vector . Krylov projection methods are th…
Augmented Block-Arnoldi Recycling CFD Solvers
Stephen Thomas, Alison Baker, Stephane Gaudreault
One of the limitations of recycled GCRO methods is the large amount of computation required to orthogonalize the basis vectors of the newly generated Krylov subspace for the approx…
High-order numerical solutions to the shallow-water equations on the rotated cubed-sphere grid
Stéphane Gaudreault, Martin Charron, Valentin Dallerit +1
A novel numerical approach to solving the shallow-water equations on the sphere using high-order numerical discretizations in both space and time is proposed. A space-time tensor f…
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…