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Books > Computing & IT > Computer programming > Software engineering
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Recipes for Continuation (Paperback)
Loot Price: R2,842
Discovery Miles 28 420
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Recipes for Continuation (Paperback)
Series: Computational Science and Engineering Series
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This book provides a comprehensive introduction to the mathematical
methodology of parameter continuation, the computational analysis
of families of solutions to nonlinear mathematical equations. It
develops a systematic formalism for constructing abstract
representations of continuation problems and for implementing these
in an existing computational platform. Recipes for Continuation:*
Lends equal importance to theoretical rigor, algorithm development,
and software engineering. * Demonstrates the use of fully developed
toolbox templates for single- and multisegment boundary-value
problems to the analysis of periodic orbits in smooth and hybrid
dynamical systems, quasi-periodic invariant tori, and homoclinic
and heteroclinic connecting orbits between equilibria and/or
periodic orbits. * Shows the use of vectorization for optimal
computational efficiency, an object-oriented paradigm for the
modular construction of continuation problems, and adaptive
discretization algorithms for guaranteed bounds on estimated
errors. * Contains extensive and fully worked examples that
illustrate the application of the MATLAB -based Computational
Continuation Core (COCO) to problems from recent research
literature that are relevant to dynamical system models from
mechanics, electronics, biology, economics, and neuroscience.
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