D-splitting methods enable 2N-storage embedded explicit Runge-Kutta schemes at any order that act as pseudo-geometric integrators preserving qualitative properties to higher order than the method itself.
Williamson, Low-storage Runge-Kutta schemes, J
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D-splitting methods: 2N -storage embedded explicit Runge-Kutta methods at any order using splitting methods
D-splitting methods enable 2N-storage embedded explicit Runge-Kutta schemes at any order that act as pseudo-geometric integrators preserving qualitative properties to higher order than the method itself.