78 citations · 155 across the 12 of their papers we have counts for
12 papers
Exploring exponential time integration for strongly magnetized charged particle motion
Tri P. Nguyen, Ilon Joseph, Mayya Tokman
A fundamental task in particle-in-cell (PIC) simulations of plasma physics is solving for charged particle motion in electromagnetic fields. This problem is especially challenging…
Nyström Type Exponential Integrators for Strongly Magnetized Charged Particle Dynamics
Tri P. Nguyen, Ilon Joseph, Mayya Tokman
Solving for charged particle motion in electromagnetic fields (i.e. the particle pushing problem) is a computationally intensive component of particle-in-cell (PIC) methods for pla…
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…
LeXInt: Package for Exponential Integrators employing Leja interpolation
Pranab J. Deka, Lukas Einkemmer, Mayya Tokman
We present a publicly available software for exponential integrators that computes the functions using polynomial interpolation. The interpolation method at Leja points ha…
Exponential integrators for non-linear diffusion
Valentin Dallerit, Mayya Tokman, Ilon Joseph
The goal of this project is to compare the performance of exponential time integrators with traditional methods such as diagonally implicit Runge-Kutta methods in the context of so…
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…
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…
On the performance of exponential integrators for problems in magnetohydrodynamics
Lukas Einkemmer, Mayya Tokman, John Loffeld
Exponential integrators have been introduced as an efficient alternative to explicit and implicit methods for integrating large stiff systems of differential equations. Over the pa…
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.…