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Geometric Numerical Integration : Structure-Preserving Algorithms for Ordinary Differential Equations

Geometric Numerical Integration : Structure-Preserving Algorithms for Ordinary Differential Equations

Geometric Numerical Integration : Structure-Preserving Algorithms for Ordinary Differential Equations Paperback - 2010

by Ernst Hairer

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Paperback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; 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
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Details

  • Title Geometric Numerical Integration : Structure-Preserving Algorithms for Ordinary Differential Equations
  • Author Ernst Hairer
  • Binding Paperback
  • Edition 2nd ed. 2006. 2n
  • Condition New
  • Pages 644
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Publication date 2010-03-11
  • Illustrated Yes
  • Features Illustrated
  • Bookseller's Inventory # ria9783642051579_inp
  • ISBN 9783642051579 / 364205157X
  • Weight 2.02 lbs (0.92 kg)
  • Dimensions 9.21 x 6.14 x 1.33 in (23.39 x 15.60 x 3.38 cm)
  • Themes
    • Aspects (Academic): Science/Technology Aspects
  • Category Mathematics
  • Dewey Decimal Code 515.352
  • Quantity available 624

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From the publisher

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 (modified equations) combined with KAM theory. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches. The second edition is substantially revised and enlarged, with many improvements in the presentation and additions concerning in particular non-canonical Hamiltonian systems, highly oscillatory mechanical systems, and the dynamics of multistep methods.

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