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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems
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Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems
Doedel, Eusebius, Doedel, E., Tuckerman, L S (Gebundene Ausgabe, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
01.04.2000
Sprache
Englisch
EAN
9780387989709
Herausgeber
Springer US
Serien- oder Bandtitel
The IMA Volumes in Mathematics and Its Applications
Sonderedition
Nein
Autor
Doedel, Eusebius, Doedel, E., Tuckerman, L S
Seitenanzahl
481
Auflage
1
Einbandart
Gebundene Ausgabe
Einbandart Details
Fadenbindung
Bandzählung
119
Höhe
235 mm
Breite
15.5 cm
-.-
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