Numerical Methods for Bifurcation Problems and Large-scale Dynamical Systems by

Description: Numerical Methods for Bifurcation Problems and Large-scale Dynamical Systems by Eusebius Doedel Dynamical systems theory and related numerical algorithms provide powerful tools for studying the solution behavior of differential equations and mappings. The papers in this volume are based on lectures given at the first two workshops held as part of the 1997- 1998 IMA Academic Year on Emerging Applications of Dynamical Systems. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description 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. Notes Dynamical systems theory and related numerical algorithms provide powerful tools for studying the solution behavior of differential equations and mappings. The papers in this volume are based on lectures given at the first two workshops held as part of the 1997- 1998 IMA Academic Year on Emerging Applications of Dynamical Systems. The first workshop concentrated on complex computational issues in dynamical systems. The second workshop addressed the development and application of special iterative methods for large scale systems. It also considered global model reduction schemes for PDEs. Table of Contents Numerical bifurcation techniques for chemical reactor problems.- Path-following of large bifurcation problems with iterative methods.- On the bifurcation from continuous to segmented chip formation in metal cutting.- Using dynamical system tools in Matlab.- Formation and instabilities of coherent structures in channel flows.- Applications of smooth orthogonal factorizations of matrices.- Continuation of codimension-2 equilibrium bifurcations in CONTENT.- Inclination-flips in the unfolding of a singular heteroclinic cycle.- Investigating torus bifurcations in the forced van der pol oscillator. Details ISBN0387989706 Pages 481 Publisher Springer-Verlag New York Inc. Year 2000 ISBN-10 0387989706 ISBN-13 9780387989709 Format Hardcover Imprint Springer-Verlag New York Inc. Place of Publication New York, NY Country of Publication United States Edited by Laurette S. Tuckermann DEWEY 515.35 Illustrations 134 figures Author Eusebius Doedel Short Title NUMERICAL METHODS FOR BIFURCAT Language English Media Book Series Number 119 Series The IMA Volumes in Mathematics and its Applications Publication Date 2000-03-00 DOI 10.1604/9780387989709 Audience Professional and Scholarly We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:159415526;

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