10 citations · 16 across the 14 of their papers we have counts for
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math.NA2019
An accurate restarting for shift-and-invert Krylov subspaces computing matrix exponential actions of nonsymmetric matrices
M. A. Botchev
An accurate residual--time (AccuRT) restarting for computing matrix exponential actions of nonsymmetric matrices by the shift-and-invert (SAI) Krylov subspace method is proposed. T…
math.NA2019★ 1 cited
Practical shift choice in the shift-and-invert Krylov subspace evaluations of the matrix exponential
Alexandr Katrutsa, Mike Botchev, Ivan Oseledets
We propose two methods to find a proper shift parameter in the shift-and-invert method for computing matrix exponential matrix-vector products. These methods are useful in the case…
math.NA2019
A nested Schur complement solver with mesh-independent convergence for the time domain photonics modeling
Mike A. Botchev
A nested Schur complement solver is proposed for iterative solution of linear systems arising in exponential and implicit time integration of the Maxwell equations with perfectly m…