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Energy Conservative Methods for Numerical Solution of ODE‐s Based on Taylor series Algorithm
Author(s) -
Miletics E.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310511
Subject(s) - ode , taylor series , algorithm , mathematics , series (stratigraphy) , impulse (physics) , computer science , mathematical analysis , physics , classical mechanics , paleontology , biology
The numerical solution of the ODE initial value problems is an intensively researched field. We have a lot of methods, eg. R‐K, Adams, symplectic but it isn't known well, how the approximate solutions behave from point of wiev of conservative quantities, for example energy [3], impulse etc. In this work we present an energy conservative algorithm based on the Taylor series method which was realized by MapleV system [2].