Introduction to Numerical Continuation Methods

Language: English

Published by Society for Industrial and Applied Mathematics,U.S., US, 2003

089871544X / 9780898715446

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Numerical continuation methods have provided important contributions toward the numerical solution of nonlinear systems of equations for many years. The methods may be used not only to compute solutions, which might otherwise be hard to obtain, but also to gain insight into qualitative properties of the solutions. Introduction to Numerical Continuation Methods, originally published in 1979, was the first book to provide easy access to the numerical aspects of predictor corrector continuation and piecewise linear continuation methods. Not only do these seemingly distinct methods share many common features and general principles, they can be numerically implemented in similar ways. Introduction to Numerical Continuation Methods also features the piecewise linear approximation of implicitly defined surfaces, the algorithms of which are frequently used in computer graphics, mesh generation, and the evaluation of surface integrals.To help potential users of numerical continuation methods create programs adapted to their particular needs, this book presents pseudo-codes and Fortran codes as illustrations. Since it first appeared, many specialized packages for treating such varied problems as bifurcation, polynomial systems, eigenvalues, economic equilibria, optimization, and the approximation of manifolds have been written. The original extensive bibliography has been updated in the SIAM Classics edition to include more recent references and several URLs so users can look for codes to suit their needs or write their own based on the models included in the book.

Seller Inventory # LU-9780898715446

Title
Introduction to Numerical Continuation Methods
Author
Kurt Georg, Eugene L. Allgower
Publisher
Society for Industrial and Applied Mathematics,U.S., US
Publication year
2003
Condition
New
Binding
Paperback
Language
English
ISBN 10
089871544X
ISBN 13
9780898715446
Item weight
726 grams
Dimensions
18.42 x 1.91 x 26.04 cm

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