Integration rules from the equivalent differential equation method applied to equations of motion |
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| Authors: | FJ Marco MJ Martínez |
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| Institution: | a Dep. Matemàtiques, Universitat Jaume I, Campus de Riu Sec., 12071 Castellón, España, Spain
b Dep. Matemática Aplicada, Universidad Politécnica de Valencia, Camino de Vera S/N, 46022 Valencia, España, Spain |
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| Abstract: | The numerical integration of equations of motion necessarily implies the presence of errors that depend on initial conditions as well as the different physical parameters under consideration. More particularly, dumping or dissipative terms can appear and it is especially interesting to determine its causes. The equivalent differential equation method may allow the errors from a certain numerical scheme to be analyzed and, together with other considerations, can help us to eliminate or reduce them. |
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| Keywords: | Symplectic integration method Modified equations Harmonical oscillator Kepler problem Runge-Lenz vector |
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