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portada Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics) (in English)
Type
Physical Book
Publisher
Author
Year
2006
Language
English
Pages
644
Format
Hardcover
Weight
2.32
ISBN
3540306633
ISBN13
9783540306634
Edition No.
2
Categories

Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics) (in English)

Ernst Hairer; Christian Lubich; Gerhard Wanner (Author) · Springer · Hardcover

Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics) (in English) - Ernst Hairer; Christian Lubich; Gerhard Wanner

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Synopsis "Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics) (in English)"

This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. It presents a theory of symplectic and symmetric methods, which include various specially designed integrators, as well as discusses their construction and practical merits. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.

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