113 citations · 392 across the 16 of their papers we have counts for
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math.NA2022★ 6 cited
Mesh Refinement for Anisotropic Diffusion in Magnetized Plasmas
Christopher J. Vogl, Ilon Joseph, Milan Holec
Highly accurate simulation of plasma transport is needed for the successful design and operation of magnetically confined fusion reactors. Unfortunately, the extreme anisotropy pre…
math.NA2022
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…
math.NA2021★ 58 cited
A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation
Lukas Einkemmer, Ilon Joseph
The primary challenge in solving kinetic equations, such as the Vlasov equation, is the high-dimensional phase space. In this context, dynamical low-rank approximations have emerge…