Stability for implicit-explicit schemes for non-equilibrium kinetic systems in weighted spaces with symmetrization
Numerical Analysis
2017-08-07 v2
Abstract
We consider kinetic systems and prove their stability working in weighted spaces in which the systems are symmetric. We prove stability for various explicit and implicit semi-discrete and fully discrete schemes. The applications include advective and diffusive transport coupled to the accumulation of immobile components governed by non-equilibrium relationships. We also discuss extensions to nonlinear relationships and multiple species.
Keywords
Cite
@article{arxiv.1707.09580,
title = {Stability for implicit-explicit schemes for non-equilibrium kinetic systems in weighted spaces with symmetrization},
author = {F. Patricia Medina and Malgorzata Peszynska},
journal= {arXiv preprint arXiv:1707.09580},
year = {2017}
}
Comments
27 pages, 5 figures