Newsletter   Secure Checkout   Shopping Cart (0 Items)  
Search:    Welcome Guest! Save up to 30-40% on most items with our awesome everyday discounts!

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

Our Price $ 187.06  
Retail Value $ 199.00  
You Save $ 11.94  
Item Number 231758  
Buy New $187.06
Quantity:
Available on the Internet only.

Item description for Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics) by Ernst Hairer, Christian Lubich & Gerhard Wanner...

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.





Promise Angels is dedicated to bringing you great books at great prices. Whether you read for entertainment, to learn, or for literacy - you will find what you want at promiseangels.com!

Item Specifications...


Pages   644
Est. Packaging Dimensions:   Length: 1.25" Width: 6.25" Height: 9.25"
Weight:   2.32 lbs.
Binding  Hardcover
Release Date   Apr 28, 2006
Publisher   Springer
ISBN  3540306633  
ISBN13  9783540306634  


Availability  105 units.
Availability accurate as of Jan 19, 2017 01:54.
Usually ships within one to two business days from La Vergne, TN.
Orders shipping to an address other than a confirmed Credit Card / Paypal Billing address may incur and additional processing delay.


More About Ernst Hairer, Christian Lubich & Gerhard Wanner


Register your artisan biography and upload your photo! Ernst Hairer is a Professor of Mathematics at the University of Geneva and has been awarded the Henrici Prize by the Society of Industrial and Applied Mathematics.

Ernst Hairer has an academic affiliation as follows - Universit?? de Gen??ve Universite de Geneve Universite de Geneve Unive.

Are You The Artisan or Author behind this product?
Improve our customers experience by registering for an Artisan Biography Center Homepage.



Product Categories

1Books > Special Features > Formats
2Books > Special Features > New & Used Textbooks > Sciences > Physics
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > General
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
5Books > Subjects > Professional & Technical > Professional Science > Mathematics > Number Systems
6Books > Subjects > Professional & Technical > Professional Science > Physics > Mathematical Physics
7Books > Subjects > Science > General
8Books > Subjects > Science > Mathematics > Applied > General
9Books > Subjects > Science > Mathematics > General
10Books > Subjects > Science > Mathematics > Mathematical Analysis
11Books > Subjects > Science > Mathematics > Number Systems
12Books > Subjects > Science > Physics > Mathematical Physics



Reviews - What do customers think about Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics)?

The Numerical Bible  May 27, 2008
Why be interested in geometric numerical integrators you ask? Well, if you want algorithms that are accurate and conserve geometric properties of the dynamical flow you have to look at geometric integrators. For instance, in Hamiltonian systems the flow preserves the symplectic two-form (the volume of the phase space), and symplectic integrators do exactly that, which means that these algorithms are more accurate than their non-symplectic counterparts: conserved quantities are really conserved numerically.

Geometric Numerical Integration deals with the foundations, examples and actual applications of geometric integrators in various fields of research, and there is a lot on the more abstract theory of numerical mathematics, the classification of algorithms, provided with lots of mathematical and physical background needed to understand what is special about certain algorithms and advice on when, where and how to use them. It is completely self-contained, up-to-date, clear, well written, it has many references, and it is aimed at students and scientist who want to learn more about everything there is to know on geometric integrators.

Admittedly, it is not completely inexpensive, but considering it is probably the only book you'll ever have to buy on geometric numerical integration and the fact that it looks great and is made very well, it is well worth the money!
 

Write your own review about Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics)



Ask A Question or Provide Feedback regarding Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics)


Item Feedback and Product Questions
For immediate assistance call 888.395.0572 during the hours of 10am thru 8pm EST Monday thru Friday and a customer care representative will be happy to help you!

Help us continuously improve our service by reporting your feedback or questions below:

I have a question regarding this product
The information above is incorrect or conflicting
The page has misspellings or incorrect grammar
The page did not load correctly in my browser or created an error.

Email Address:
Anti Spam Question. To combat spammers we require that you answer a simple question.
What color is the sky?
Leave This Blank :
Do Not Change This Text :



Add This Product Widget To Your Website

Looking to add this information to your own website? Then use our Product Widget to allow you to display product information in a frame that is 120 pixels wide by 240 pixels high.

    Copy and paste the following HTML into your website and enjoy!



Order toll-free weekdays 10am thru 10pm EST by phone: 1-888-395-0572 (Lines are closed on holidays & weekends.)
Customer Service | My Account | Track My Orders | Return Policy | Request Free Catalog | Email Newsletter


Resources
Gift Certificates
RSS Feeds
Corporate
About Us
Contact Us
Policies
Terms Of Use
Privacy Policy