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

Authors :: Cieslinski, Jan L.
Ratkiewicz, Boguslaw
Publication Year :: 2009
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.<br />Comment: 7 pages plus 7 figures

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