7 citations · 9 across the 4 of their papers we have counts for
5 papers
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…