LIRK-W: Linearly-implicit Runge-Kutta methods with approximate matrix factorization
Numerical Analysis
2016-11-22 v1
Abstract
This paper develops a new class of linearly implicit time integration schemes called Linearly-Implicit Runge-Kutta-W (LIRK-W) methods. These schemes are based on an implicit-explicit approach which does not require a splitting of the right hand side and allow for arbitrary, time dependent, and stage varying approximations of the linear systems appearing in the method. Several formulations of LIRK-W schemes, each designed for specific approximation types, and their associated order condition theories are presented.
Cite
@article{arxiv.1611.07013,
title = {LIRK-W: Linearly-implicit Runge-Kutta methods with approximate matrix factorization},
author = {Paul Tranquilli and Adrian Sandu and Hong Zhang},
journal= {arXiv preprint arXiv:1611.07013},
year = {2016}
}