How to improve the accuracy of the discrete gradient method in the one-dimensional case
Numerical Analysis
2015-05-13 v1
Abstract
We present a new numerical scheme for one dimensional dynamical systems. This is a modification of the discrete gradient method and keeps its advantages, including the stability and the conservation of the energy integral. However, its accuracy is higher by several orders of magnitude.
Keywords
Cite
@article{arxiv.0901.1906,
title = {How to improve the accuracy of the discrete gradient method in the one-dimensional case},
author = {Jan L. Cieslinski and Boguslaw Ratkiewicz},
journal= {arXiv preprint arXiv:0901.1906},
year = {2015}
}
Comments
7 pages plus 7 figures