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Computational enhancement of discrete gradient method

12/16/2019

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by Artur Kobus, et al.

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The paper proposes new numerical method being the derivative of discrete gradient method, but working for much wider class of autonomous systems. Approach we present helps in finding computational, global invariant of the system, that enables us to generalize geometric numerical integration techniques to non-conservative systems. Numerical experiments show the new method is superior to known schemes (IMR, LF) of the same order.

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