The Magnus expansion and some of its applications
TLDR
Magnusson expansion as discussed by the authors provides a power series expansion for the corresponding exponent and is sometimes referred to as Time-Dependent Exponential Perturbation Theory (TEPT).About:
This article is published in Physics Reports.The article was published on 2009-01-01 and is currently open access. It has received 1013 citations till now. The article focuses on the topics: Magnus expansion & Series expansion.read more
Citations
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The Theory of Matrices. By F R. Gantmacher. Two volumes, pp. 374 and 276. 1959. (Translated from the Russian by K. A. Hirsch; Chelsea Publishing Company, New York)
Solving Ordinary Differential Equations
TL;DR: The variable-order Adams method (SIVA/DIVA) package as discussed by the authors is a collection of subroutines for solution of non-stiff ODEs.
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Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering
TL;DR: In this article, a general overview of the high-frequency regime in periodically driven systems and three distinct classes of driving protocols in which the infinite-frequency Floquet Hamiltonian is not equal to the time-averaged Hamiltonian are identified.
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Simulating Hamiltonian dynamics.
Ernst Hairer,Gerhard Wanner +1 more
TL;DR: Reading simulating hamiltonian dynamics is a way as one of the collective books that gives many advantages and will greatly develop your experiences about everything.
References
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Handbook of Mathematical Functions
Book
Matrix Analysis
Roger A. Horn,Charles R. Johnson +1 more
TL;DR: In this article, the authors present results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrate their importance in a variety of applications, such as linear algebra and matrix theory.
Book
Mathematical Methods of Classical Mechanics
TL;DR: In this paper, Newtonian mechanics: experimental facts investigation of the equations of motion, variational principles Lagrangian mechanics on manifolds oscillations rigid bodies, differential forms symplectic manifolds canonical formalism introduction to pertubation theory.