Numerical Integrators That Preserve Symmetries and Reversing Symmetries
نویسندگان
چکیده
We consider properties of ows, the relationships between them, and whether numerical integrators can be made to preserve these properties. This is done in the context of automorphisms and antiautomorphisms of a certain group generated by maps associated to vector elds. This new framework uniies several known constructions. The main application is to explore the relationship between spatial symmetries, reversing symmetries, and time symmetry of ows and numerical integrators.
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