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Listar por autor "Murua, Ander"

Mostrando ítems 1-6 de 6

An effcient algorithm based on splitting for the time integration of the Schrödinger equation

Blanes Zamora, Sergio; Casas, Fernando; Murua, Ander (Elsevier, 2015-12-15)

We present a practical algorithm based on symplectic splitting methods intended for the numerical integration in time of the Schrödinger equation when the Hamiltonian operator is either time-independent or changes slowly ...
Error analysis of splitting methods for the time dependent Schrodinger equation

Blanes Zamora, Sergio; Casas, Fernando; Murua, Ander (Society for Industrial and Applied Mathematics, 2011)

A typical procedure to integrate numerically the time dependent Schrodinger equation involves two stages. In the first stage one carries out a space discretization of the continuous problem. This results in the linear ...
High precision symplectic integrators for the Solar System

Farrés, Ariadna; Laskar, Jacques; Blanes Zamora, Sergio; Casas Perez, Fernando; Makazaga, Joseba; Murua, Ander (Springer Verlag (Germany), 2013-06)

Using a Newtonian model of the Solar System with all 8 planets, we perform extensive tests on various symplectic integrators of high orders, searching for the best splitting scheme for long term studies in the Solar System. ...
New families of symplectic splitting methods for numerical integration in dynamical astronomy

Blanes Zamora, Sergio; Casas Perez, Fernando; Farrés, Ariadna; Laskar, Jacques; Makazaga, Joseba; Murua, Ander (Elsevier, 2013-06)

[EN] We present new splitting methods designed for the numerical integration of near-integrable Hamiltonian systems, and in particular for planetary N-body problems, when one is interested in very accurate results over a ...
Splitting methods in the numerical integration of non-autonomous dynamical systems

Blanes Zamora, Sergio; Casas Perez, Fernando; Murua, Ander (Springer-Verlag, 2012)

[EN] We present a procedure leading to efficient splitting schemes for the time integration of explicitly time dependent partitioned linear differential equations arising when certain partial differential equations are ...
Symplectic time-average propagators for the Schrodinger equation with a time-dependent Hamiltonian

Blanes Zamora, Sergio; Casas, Fernando; Murua, Ander (American Institute of Physics, 2017-03-21)

[EN] Several symplectic splitting methods of orders four and six are presented for the step-by-step time numerical integration of the Schrodinger equation when the Hamiltonian is a general explicitly time-dependent real ...