Titlebook: Geometric Numerical Integration; Structure-Preserving Ernst Hairer,Gerhard Wanner,Christian Lubich Book 20021st edition Springer-Verlag Ber

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https://doi.org/10.1007/978-94-011-9038-1tic methods applied to (near-)integrable Hamiltonian systems: linear error growth, long-time near-conservation of first integrals, existence of invariant tori. The present chapter gives a theoretical explanation of the good long-time behaviour of symmetric methods. The results and techniques are lar

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Elektrische und optische Konstanten,new complete function evaluation only after a time step over one or many periods of the fastest oscillations in the system. Various such methods have been proposed in the literature some of them decades ago, some very recently, motivated by problems from molecular dynamics, astrophysics and nonlinea

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Ernst Hairer,Gerhard Wanner,Christian LubichA unique feature of the book is the numerical treatment of KAM theory.There is no other book which deals with this.Includes supplementary material:

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Book 20021st editioncillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The