A new geometric integration approach based on local invariants

Takeru Matsuda, Takayasu Matsuo
2013 JSIAM Letters  
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 nonconservative systems. Numerical examples show that the approach can in fact work.
doi:10.14495/jsiaml.5.37 fatcat:ppzodvogx5httbe343r6fe6q5y