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Exponential integrators for non-linear diffusion

Numerical Analysis 2022-07-07 v1 Numerical Analysis

Abstract

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 solving the system of reduced magnetohydrodynamics (RMHD). In this report, we present initial results of a proof of concept study that shows that exponential integrators can be an efficient alternative to traditional integration schemes.

Keywords

Cite

@article{arxiv.2207.02439,
  title  = {Exponential integrators for non-linear diffusion},
  author = {Valentin Dallerit and Mayya Tokman and Ilon Joseph},
  journal= {arXiv preprint arXiv:2207.02439},
  year   = {2022}
}