Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics, 31)

Hairer, Ernst; Lubich, Christian; Wanner, Gerhard

ISBN 10: 3540306633 / ISBN 13: 9783540306634

Published by Springer, 2006

About this Item

Seller Inventory # I-9783540306634

Bibliographic Details

• Title: Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics, 31)
• Publisher: Springer
• Publication Date: 2006
• Language: English
• ISBN 10: 3540306633
• ISBN 13: 9783540306634
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: New

About this title

Synopsis

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. 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 long-time behaviour of the numerical solutions is studied using a backward error analysis...

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