4 papers
D-splitting methods: 2N -storage embedded explicit pseudo-geometric Runge-Kutta methods using splitting methods
Sergio Blanes, Alejandro Escorihuela-Tomà s
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…
Efficient symplectic integrators for cubic and quartic potentials
Alejandro Escorihuela-Tomà s
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…
On alternating-conjugate splitting methods
J. Bernier, S. Blanes, F. Casas +1
The new class of alternating-conjugate splitting methods is presented and analyzed. They are obtained by concatenating a given composition involving complex coefficients with the s…
Approximating exponentials of commutators by optimized product formulas
F. Casas, A. Escorihuela-Tomà s, P. A. Moreno Casares
Trotter product formulas constitute a cornerstone quantum Hamiltonian simulation technique. However, the efficient implementation of Hamiltonian evolution of nested commutators rem…