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math.NA2026
Efficient symplectic integrators for cubic and quartic potentials
Alejandro Escorihuela-Tomàs
We present a set of new, efficient high-order symplectic methods designed for Hamiltonian systems with cubic or quartic potentials. By demonstrating that polynomial potentials requ…
math.NA2026
D-splitting methods: 2N -storage embedded explicit pseudo-geometric Runge-Kutta methods using splitting methods
Sergio Blanes, Alejandro Escorihuela-Tomàs
Low-storage explicit Runge-Kutta schemes are particularly popular for the numerical integration of time-dependent partial differential equations based on the method-of-lines due to…