Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems

Name: Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems
Brand: Springer, Berlin
SKU: 9780387989709
Price: 385.14 PLN
Availability: InStock

Autor: Eusebius Doedel, Laurette S. Tuckerman

Język:

Oprawa: Twarda

Wydawca: Springer, Berlin

Dostępność: Dostępna u dostawcy

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385.14 zł

The Institute for Mathematics and its Applications (IMA) devoted its 1997-1998 program to Emerging A...

Informacje o książce

Autor

Eusebius Doedel, Laurette S. Tuckerman

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2012

strony

481

EAN

9780387989709

Enbook ID

01385718

Wydawca

Springer, Berlin

Waga

820

Wymiary

162 x 241 x 27

Pełny opis

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 theoretical problems, including smooth factorization of matrices, self -organized criticality, and unfolding of singular heteroclinic cycles. Other papers treat applications of dynamical systems computations in various scientific fields, such as biology, chemical engineering, fluid mechanics, and mechanical engineering.

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