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9789812565969

Modeling And Computations in Dynamical Systems: In Commeration Of The 100th Anniversary Of The Birth Of John von Neumann

by ; ;
  • ISBN13:

    9789812565969

  • ISBN10:

    9812565965

  • Format: Hardcover
  • Copyright: 2006-04-30
  • Publisher: World Scientific Pub Co Inc
  • Purchase Benefits
List Price: $145.00
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Summary

The Hungarian born mathematical genius, John von Neumann, was undoubtedly one of the greatest and most influential scientific minds of the 20th century. Von Neumann made fundamental contributions to Computing and he had a keen interest in Dynamical Systems, specifically Hydrodynamic Turbulence. This book, offering a state-of-the-art collection of papers in computational dynamical systems, is dedicated to the memory of von Neumann. Including contributions from J E Marsden, P J Holmes, M Shub, A Iserles, M Dellnitz and J Guckenheimer, this book offers a unique combination of theoretical work and applied areas such as geometric integration, neural networks, linear programming, dynamical astronomy, chemical reaction models, structural and fluid mechanics.

Table of Contents

Transport in dynamical astronomy and multibody problemsp. 3
A brief survey on the numerical dynamics for functional differential equationsp. 33
Bifurcations and continuous transitions of attractors in autonomous and nonautonomous systemsp. 47
A survey of methods for computing (un)stable manifolds of vector fieldsp. 67
Commutators of skew-symmetric matricesp. 97
Simple neural networks that optimize decisionsp. 107
Newton flow and interior point methods in linear programmingp. 131
Numerical continuation of branch points of equilibria and periodic orbitsp. 145
Coarse-grained observation of discretized mapsp. 165
Multiple helical perversions of finite, intristically curved rodsp. 175
Bifurcations of stable sets in noninvertible planar mapsp. 195
Multiparametric bifurcations in an enzyme-catalyzed reaction modelp. 209
Straightforward computation of spatial equilibria of geometrically exact cosserat rodsp. 253
Multiparameter parallel search branch switchingp. 271
Equation-free, effective computation for discrete systems : a time stepper based approachp. 279
Model reduction for fluids, using balanced proper orthogonal decompositionp. 301
Bifurcation tracking algorithms and software for large scale applicationsp. 319
An algorithm for finding invariant algebraic curves of a given degree for polynomial planar vector fieldsp. 337
Table of Contents provided by Blackwell. All Rights Reserved.

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