Trigonometric Splines for Oscillator Simulation
Numerical Analysis
2016-04-27 v1
Abstract
We investigate the effects of numerical damping for oscillator simulation with spline methods. Numerical damping results in an artificial loss of energy and leads therefore to unreliable results in the simulation of autonomous systems, as e.g.\ oscillators. We show that the negative effects of numerical damping can be eliminated by the use of trigonometric splines. This will be in particular important for spline based adaptive methods.
Keywords
Cite
@article{arxiv.1604.07607,
title = {Trigonometric Splines for Oscillator Simulation},
author = {Kai Bittner and Hans Georg Brachtendorf},
journal= {arXiv preprint arXiv:1604.07607},
year = {2016}
}
Comments
in 22nd International Conference Radioelektronika, pages 1--4, 2012