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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…
Variable time-stepping exponential integrators for chemical reactors with analytical Jacobians
Jared Stewart, Mayya Tokman, Fabrizio Bisetti +2
Computational chemical combustion problems are known to be stiff, and are typically solved with implicit time integration methods. A novel exponential time integrator, EPI3V, is in…
A comparison of Leja- and Krylov-based iterative schemes for Exponential Integrators
Pranab J. Deka, Mayya Tokman, Lukas Einkemmer
Krylov-based algorithms have long been preferred to compute the matrix exponential and exponential-like functions appearing in exponential integrators. Of late, direct polynomial i…