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Efficient boundary corrected Strang splitting

Authors :
Einkemmer, Lukas
Moccaldi, Martina
Ostermann, Alexander
Source :
Applied Mathematics and Computation, Volume 332, Pages 76-89, 2018
Publication Year :
2017

Abstract

Strang splitting is a well established tool for the numerical integration of evolution equations. It allows the application of tailored integrators for different parts of the vector field. However, it is also prone to order reduction in the case of non-trivial boundary conditions. This order reduction can be remedied by correcting the boundary values of the intermediate splitting step. In this paper, three different approaches for constructing such a correction in the case of inhomogeneous Dirichlet, Neumann, and mixed boundary conditions are presented. Numerical examples that illustrate the effectivity and benefits of these corrections are included.

Details

Database :
arXiv
Journal :
Applied Mathematics and Computation, Volume 332, Pages 76-89, 2018
Publication Type :
Report
Accession number :
edsarx.1711.02193
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.amc.2018.03.006