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/10.1007/978-3-662-05018-7Hamiltonian and reversible systems; Numerical integration; calculus; differential equation; differential

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Andreas Patyk,Guido A. Reinhardtsses of numerical methods. We start with Runge-Kutta and collocation methods, and we introduce discontinuous collocation methods, which cover essentially all high-order implicit Runge-Kutta methods of interest. We then treat partitioned Runge-Kutta methods and Nyström methods, which can be applied t

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Die übrigen Kleearten bzw. Futterleguminosenn manifolds. Our investigation will follow two directions. We first investigate which of the methods introduced in Chap. II conserve invariants automatically. We shall see that most of them conserve linear invariants, a few of them quadratic invariants, and none of them conserves cubic or general no

abduction

F. Bazzoli,R. Böhmer,H. J. Weiss. We discuss reversible differential equations and reversible maps, and we explain how symmetric integrators are related to them. We study symmetric Runge-Kutta and composition methods, and we show how standard approaches for solving differential equations on manifolds can be symmetrized. A theoret

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