A self adjusting multirate algorithm based on the TR-BDF2 method
Numerical Analysis
2018-01-30 v1
Abstract
We propose a self adjusting multirate method based on the TR-BDF2 solver. The potential advantages of using TR-BDF2 as the key component of a multirate framework are highlighted. A linear stability analysis of the resulting approach is presented and the stability features of the resulting algorithm are analysed. The analysis framework is completely general and allows to study along the same lines the stability of self adjusting multirate methods based on a generic one step solver. A number of numerical experiments demonstrate the efficiency and accuracy of the resulting approach also the time discretization of hyperbolic partial differential equations.
Cite
@article{arxiv.1801.09118,
title = {A self adjusting multirate algorithm based on the TR-BDF2 method},
author = {Luca Bonaventura and Francesco Casella and Ludovica Delpopolo and Akshay Ranade},
journal= {arXiv preprint arXiv:1801.09118},
year = {2018}
}