22 citations · 36 across the 13 of their papers we have counts for
11 papers · 1 filter
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…
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…
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…
Families of efficient low order processed composition methods
Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs
New families of composition methods with processing of order 4 and 6 are presented and analyzed. They are specifically designed to be used for the numerical integration of differen…
Symmetric-conjugate splitting methods for linear unitary problems
Joackim Bernier, Sergio Blanes, Fernando Casas +1
We analyze the preservation properties of a family of reversible splitting methods when they are applied to the numerical time integration of linear differential equations defined…
Runge-Kutta-Nyström symplectic splitting methods of order 8
F. Casas, S. Blanes, A. Escorihuela-Tomàs
Different families of Runge-Kutta-Nyström (RKN) symplectic splitting methods of order 8 are presented for second-order systems of ordinary differential equations and are tested on…
High order integrators obtained by linear combinations of symmetric-conjugate compositions
Fernando Casas, Alejandro Escorihuela-Tomàs
A new family of methods involving complex coefficients for the numerical integration of differential equations is presented and analyzed. They are constructed as linear combination…
Applying splitting methods with complex coefficients to the numerical integration of unitary problems
S. Blanes, F. Casas, A. Escorihuela-Tomàs
We explore the applicability of splitting methods involving complex coefficients to solve numerically the time-dependent Schrödinger equation. We prove that a particular class of i…
On symmetric-conjugate composition methods in the numerical integration of differential equations
Sergio Blanes, Fernando Casas, Philippe Chartier +1
We analyze composition methods with complex coefficients exhibiting the so-called ``symmetry-conjugate'' pattern in their distribution. In particular, we study their behavior with…
Composition Methods for Dynamical Systems Separable into Three Parts
Fernando Casas, Alejandro Escorihuela-Tomàs
New families of fourth-order composition methods for the numerical integration of initial value problems defined by ordinary differential equations are proposed. They are designed…
Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations
Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas +1
In this paper, we are concerned with the construction and analysis of a new class of methods obtained as double jump compositions with complex coefficients and projection on the re…