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Listar por autor "Kopylov, Nikita"

Mostrando ítems 1-5 de 5

Exponential propagators for the Schrödinger equation with a time-dependent potential

Bader, Philipp; Kopylov, Nikita; Blanes Zamora, Sergio (American Institute of Physics, 2018)

[EN] We consider the numerical integration of the Schrodinger equation with a time-dependent Hamiltonian given as the sum of the kinetic energy and a time-dependent potential. Commutator-free (CF) propagators are exponential ...
Magnus-based geometric integrators for dynamical systems with time-dependent potentials

Kopylov, Nikita (Universitat Politècnica de València, 2019-03-27)

[ES] Esta tesis trata sobre la integración numérica de sistemas hamiltonianos con potenciales explícitamente dependientes del tiempo. Los problemas de este tipo son comunes en la física matemática, porque provienen de la ...
Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass

Bader, Philipp; Blanes Zamora, Sergio; Casas, Fernando; Kopylov, Nikita (Elsevier, 2019-04)

[EN] We consider the numerical time-integration of the non-stationary Klein-Gordon equation with position- and time-dependent mass. A novel class of time-averaged symplectic splitting methods involving double commutators ...
Symplectic integrators for second-order linear non-autonomous equations

Bader, Philipp; Blanes Zamora, Sergio; Casas, Fernando; Kopylov, Nikita; Ponsoda Miralles, Enrique (Elsevier, 2018)

[EN] Two families of symplectic methods specially designed for second-order time-dependent linear systems are presented. Both are obtained from the Magnus expansion of the corresponding first-order equation, but otherwise ...
Symplectic propagators for the Kepler problem with time-dependent mass

Bader, Philipp; Blanes Zamora, Sergio; Casas, Fernando; Kopylov, Nikita (Springer-Verlag, 2019-06)

[EN] New numerical integrators specifically designed for solving the two-body gravitational problem with a time-varying mass are presented. They can be seen as a generalization of commutator-free quasi-Magnus exponential ...