Misha Stepanov | presentations | University of Arizona (2023)

2023-02-09: M. Stepanov, Eight‑stage pseudo‑symplectic Runge–Kutta methods of order (4, 8), Modeling and Computation Seminar, University of Arizona.

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Using simplifying assumptions that are related to the time reversal symmetry, a 1‑dimensional family of 8‑stage pseudo‑symplectic Runge–Kutta methods of order (4, 8), i.e., methods of order 4 that preserve symplectic structure up to order 8, is derived. An example of 7‑stage method of order (4, 9) is given.

The talk is based on: M. Stepanov, Eight‑stage pseudo‑symplectic Runge–Kutta methods of order (4, 8), arXiv: 2301.09335 (2023).