Listar MAT_Articles por autoría "18cdda5e-a9d7-4cbe-af06-73d6685b47b2"
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Applying splitting methods with complex coefficients to the numerical integration of unitary problems
Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro American Institute of Mathematical Sciences (AIMS) (2022)We explore the applicability of splitting methods involving complex coefficients to solve numerically the time-dependent Schr¨odinger equation. We prove that a particular class of integrators are conjugate to unitary ... -
Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations
Casas, Fernando; Chartier, Philippe; Escorihuela-Tomàs, Alejandro; Zhang, Yong Elsevier (2020-05-29)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 real axis. It is shown in particular that ... -
High order integrators obtained by linear combinations of symmetric-conjugate compositions
Casas, Fernando; Escorihuela-Tomàs, Alejandro Elsevier (2022-02-01)A new family of methods involving complex coefficients for the numerical integration of differential equations is presented and analyzed. They are constructed as linear combinations of symmetric-conjugate compositions ... -
On symmetric-conjugate composition methods in the numerical integration of differential equations
Blanes, S.; Casas, Fernando; Chartier, Philippe; Escorihuela-Tomàs, Alejandro American Mathematical Society (2021)We analyze composition methods with complex coefficients exhibiting the so-called “symmetry-conjugate” pattern in their distribution. In particular, we study their behavior with respect to preservation of qualitative ... -
Runge–Kutta–Nyström symplectic splitting methods of order 8
Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro Elsevier (2022-12)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 numerical examples. They show a better ... -
Symmetric-conjugate splitting methods for linear unitary problems
Bernier, Joackim; Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro Springer (2023-11-10)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 in the unitary group. The schemes involve ...