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JSIAM Letters
Vol. 5 (2013) p. 37-40




In this report we propose a simple new geometric integration approach for solving ordinary differential equations based on the concept of ``local'' invariants. The approach basically belongs to the class of invariants-preserving integrations, but it differs from any existing methods in that it can automatically detect enough number of invariants, and work even for non-conservative systems. Numerical examples show that the approach can in fact work.

Copyright © 2013 The Japan Society for Industrial and Applied Mathematics

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