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Geometrical Numeric Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
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Bibliographic Detail
Publisher
Springer Verlag
Publication date
June 1, 2002
Binding
Hardcover
Book category
Adult Non-Fiction
ISBN-13
9783540430032
ISBN-10
3540430032
Dimensions
1 by 6.25 by 9.25 in.
Weight
1 lbs.
Availability§
Publisher Out of Stock
Published in
Europe
Original list price
$107.00
§As reported by publisher
Amazon.com says people who bought this book also bought:
A First Course in the Numerical Analysis of Differential Equations | Convex Optimization | Mathematical Methods of Classical Mechanics | Solving Ordinary Differential Equations II | Solving Ordinary Differential Equations I
A First Course in the Numerical Analysis of Differential Equations | Convex Optimization | Mathematical Methods of Classical Mechanics | Solving Ordinary Differential Equations II | Solving Ordinary Differential Equations I
Summaries and Reviews
(view table of contents)
Amazon.com description: Product 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. 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.
Editions
Hardcover
The price comparison is for this edition
from Springer Verlag (June 1, 2002)
9783540430032 | details & prices | 6.25 × 9.25 × 1.00 in. | 1.95 lbs | List price $107.00
About: 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.
About: 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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