How to improve the accuracy of the discrete gradient method in the one-dimensional case

Details How to improve the accuracy of the discrete gradient method in the one-dimensional case How to improve the accuracy of the discrete gradient method in the one-dimensional case

2009-01-13

arxiv.org/abs/0901.1906v1

Computer Science

Numerical Analysis

7 pages plus 7 figures

Scientific paper

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.

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