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

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

[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 mecánica cuántica, clásica y celestial. La meta de la tesis es construir integ...

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Bibliographic Details
Main Author: Kopylov, Nikita
Other Authors: Bader, Philipp Karl Heinz
Format: Doctoral Thesis
Language:English
Published: Universitat Politècnica de València 2019
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
MATEMATICA APLICADA
Online Access:http://hdl.handle.net/10251/118798

Internet

http://hdl.handle.net/10251/118798

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