Spline-oriented inter/extrapolation-based multirate schemes of higher order
Numerical Analysis
2023-12-15 v1 Numerical Analysis
Abstract
Multirate integration uses different time step sizes for different components of the solution based on the respective transient behavior. For inter/extrapolation-based multirate schemes, we construct a new subclass of schemes by using clamped cubic splines to obtain multirate schemes up to order 4. Numerical results for a -mass-oscillator demonstrate that 4th order of convergence can be achieved for this class of schemes.
Keywords
Cite
@article{arxiv.2207.02732,
title = {Spline-oriented inter/extrapolation-based multirate schemes of higher order},
author = {Kevin Schäfers and Andreas Bartel and Michael Günther and Christoph Hachtel},
journal= {arXiv preprint arXiv:2207.02732},
year = {2023}
}
Comments
7 pages, 2 figures