New classes of quadratic vector fields admitting integral-preserving Kahan-Hirota-Kimura discretizations

12 Oct 2016 Petrera Matteo Zander René

We present some new families of quadratic vector fields, not necessarily integrable, for which their Kahan-Hirota-Kimura discretization exhibits the preservation of some of the characterizing features of the underlying continuous systems (conserved quantities and invariant measures)...

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Categories


  • EXACTLY SOLVABLE AND INTEGRABLE SYSTEMS
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS
  • NUMERICAL ANALYSIS