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IMA Volumes in Mathematics : Numerical Methods for Bifurcation Problems

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Item specifics

Condition
Very Good: A book that does not look new and has been read but is in excellent condition. No obvious ...
Subject
Differential Equations / General
ISBN
9780387989709
Series
Ima Volumes in Mathematics and Its Applications Ser.
Publication Year
2000
Type
Textbook
Format
Hardcover
Language
English
Subject Area
Mathematics
Publication Name
Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems
Author
Laurette S. Tuckerman
Publisher
Springer
Item Weight
28.8 Oz
Number of Pages
496 Pages

About this product

Product Information

The Institute for Mathematics and its Applications (IMA) devoted its 1997-1998 program to Emerging Applications of Dynamical Systems. Dynamical systems theory and related numerical algorithms provide powerful tools for studying the solution behavior of differential equations and mappings. In the past 25 years computational methods have been developed for calculating fixed points, limit cycles, and bifurcation points. A remaining challenge is to develop robust methods for calculating more complicated objects, such as higher- codimension bifurcations of fixed points, periodic orbits, and connecting orbits, as well as the calcuation of invariant manifolds. Another challenge is to extend the applicability of algorithms to the very large systems that result from discretizing partial differential equations. Even the calculation of steady states and their linear stability can be prohibitively expensive for large systems (e.g. 10_3- -10_6 equations) if attempted by simple direct methods. Several of the papers in this volume treat computational methods for low and high dimensional systems and, in some cases, their incorporation into software packages. A few papers treat fundamental theoreti

Product Identifiers

Publisher
Springer
ISBN-10
0387989706
ISBN-13
9780387989709
eBay Product ID (ePID)
1634604

Product Key Features

Author
Laurette S. Tuckerman
Publication Name
Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems
Format
Hardcover
Language
English
Subject
Differential Equations / General
Series
Ima Volumes in Mathematics and Its Applications Ser.
Publication Year
2000
Type
Textbook
Subject Area
Mathematics
Number of Pages
496 Pages

Dimensions

Item Weight
28.8 Oz

Additional Product Features

LCCN
99-088039
Series Volume Number
Vol. 119
Lc Classification Number
Qa377.N855 2000
Copyright Date
2000
Target Audience
Scholarly & Professional
Dewey Decimal
515/.35
Dewey Edition
21
Illustrated
Yes

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