On the Construction of Splitting Methods by Stabilizing Corrections with Runge-Kutta Pairs
Numerical Analysis
2017-07-17 v1
Abstract
In this technical note a general procedure is described to construct internally consistent splitting methods for the numerical solution of differential equations, starting from matching pairs of explicit and diagonally implicit Runge-Kutta methods. The procedure will be applied to suitable second-order pairs, and we will consider methods with or without a mass conserving finishing stage. For these splitting methods, the linear stability properties are studied and numerical test results are presented.
Keywords
Cite
@article{arxiv.1707.04443,
title = {On the Construction of Splitting Methods by Stabilizing Corrections with Runge-Kutta Pairs},
author = {Willem Hundsdorfer},
journal= {arXiv preprint arXiv:1707.04443},
year = {2017}
}
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18 pages