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Magnus-based geometric integrators for dynamical systems with time-dependent potentials

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Magnus-based geometric integrators for dynamical systems with time-dependent potentials

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Kopylov, N. (2019). Magnus-based geometric integrators for dynamical systems with time-dependent potentials [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/118798

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Title: Magnus-based geometric integrators for dynamical systems with time-dependent potentials
Author:
Director(s): Bader, Philipp Karl Heinz Blanes Zamora, Sergio
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Read date / Event date:
2019-02-21
Issued date:
Abstract:
[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 ...[+]


[CAT] Aquesta tesi tracta de la integració numèrica de sistemes hamiltonians amb potencials explícitament dependents del temps. Els problemes d'aquest tipus són comuns en la física matemàtica, perquè provenen de la mecànica ...[+]


[EN] The present thesis addresses the numerical integration of Hamiltonian systems with explicitly time-dependent potentials. These problems are common in mathematical physics because they come from quantum, classical and ...[+]
Subjects: Numerical analysis , Geometric numerical integration , Symplectic integrator , Structure preservation , Differential equations , Time-dependent , Non-autonomous , Magnus expansion , Splitting methods , Composition methods , Schrödinger equation , Wave equation , Hill equation , Mathieu equation , Kepler problem , Quasi-commutator-free , Quasi-Magnus , Magnus-splitting
Copyrigths: Reserva de todos los derechos
DOI: 10.4995/Thesis/10251/118798
Type: Tesis doctoral

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