ListarIMAC_Articles por tema "Magnus expansion"
Mostrando ítems 1-4 de 4
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A general formula for the Magnus expansion in terms of iterated integrals of right-nested commutators
IOP (2018-03)We present a general expression for any term of the Magnus series as an iterated integral of a linear combination of independent right-nested commutators with given coefficients. The relation with the Malvenuto–Reutenauer ... -
Exponential Perturbative Expansions and Coordinate Transformations
MDPI (2020)We propose a unified approach for different exponential perturbation techniques used in the treatment of time-dependent quantum mechanical problems, namely the Magnus expansion, the Floquet–Magnus expansion for periodic ... -
Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass
Elsevier (2019-04)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 is ... -
Numerical integrators based on the Magnus expansion for nonlinear dynamical systems
Elsevier (2020-03-15)Explicit numerical integration algorithms up to order four based on the Magnus expansion for nonlinear non-autonomous ordinary differential equations are presented and tested on problems possessing qualitative (very often, ...