幾何学的数値積分<br>Geometric Numerical Integration : Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics Vol.31) (New ed. 2006. XIII, 515 p. w. 119 figs. 24,5 cm)

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幾何学的数値積分
Geometric Numerical Integration : Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics Vol.31) (New ed. 2006. XIII, 515 p. w. 119 figs. 24,5 cm)

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  • ページ数 650 p.
  • 言語 ENG
  • 商品コード 9783540306634

基本説明

New in softcover. Hardcover was published in 2006. 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. Illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches.

Full Description

Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book.

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