• RRP: £130.50
  • You Save: £0.51
FREE Delivery in the UK.
Only 1 left in stock.
Dispatched from and sold by Amazon. Gift-wrap available.
+ £2.80 delivery
Used: Like New | Details
Condition: Used: Like New
Comment: Looks unread! Expect delivery in 2-3 weeks.
Have one to sell?
Flip to back Flip to front
Listen Playing... Paused   You're listening to a sample of the Audible audio edition.
Learn more
See this image

Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics) Hardcover – 22 Feb 2006


See all 8 formats and editions Hide other formats and editions
Amazon Price
New from Used from
Kindle Edition
Hardcover
£129.99
£99.99 £99.98
Note: This item is eligible for click and collect. Details
Pick up your parcel at a time and place that suits you.
  • Choose from over 13,000 locations across the UK
  • Prime members get unlimited deliveries at no additional cost
How to order to an Amazon Pickup Location?
  1. Find your preferred location and add it to your address book
  2. Dispatch to this address when you check out
Learn more
click to open popover

Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.

  • Apple
  • Android
  • Windows Phone

To get the free app, enter your mobile phone number.


Product details

  • Hardcover: 664 pages
  • Publisher: Springer; 2 edition (22 Feb. 2006)
  • Language: English
  • ISBN-10: 3540306633
  • ISBN-13: 978-3540306634
  • Product Dimensions: 15.6 x 3.8 x 23.4 cm
  • Average Customer Review: Be the first to review this item
  • Amazon Bestsellers Rank: 3,605,093 in Books (See Top 100 in Books)
  • Would you like to tell us about a lower price?
    If you are a seller for this product, would you like to suggest updates through seller support?

  • See Complete Table of Contents

Product description

Review

From the reviews of the second edition:

"This book is highly recommended for advanced courses in numerical methods for ordinary differential equations as well as a reference for researchers/developers in the field of geometric integration, differential equations in general and related subjects. It is a must for academic and industrial libraries." -- MATHEMATICAL REVIEWS

"The second revised edition of the monograph is a fine work organized in fifteen chapters, updated and extended. ... The material of the book is organized in sections which are ... self-contained, so that one can dip into the book to learn a particular topic ... . A person interested in geometrical numerical integration will find this book extremely useful." (Calin Ioan Gheorghiu, Zentralblatt MATH, Vol. 1094 (20), 2006)

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 (modified equations) combined with KAM theory. This 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.


Customer reviews

There are no customer reviews yet.
Share your thoughts with other customers

Most helpful customer reviews on Amazon.com

Amazon.com: 5.0 out of 5 stars 3 reviews
Anusha Sekar
5.0 out of 5 starsFive Stars
1 December 2014 - Published on Amazon.com
Verified Purchase
One person found this helpful.
Cybertronian
5.0 out of 5 starsThe Numerical Bible
27 May 2008 - Published on Amazon.com
10 people found this helpful.
NumericalAstronomer
5.0 out of 5 starsThe Bible it is...
3 November 2010 - Published on Amazon.com
2 people found this helpful.

Where's My Stuff?

Delivery and Returns

Need Help?