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portada Introduction to Numerical Continuation Methods (en Inglés)
Formato
Libro Físico
Colección
Classics in Applied Mathematics
Año
2003
Idioma
Inglés
N° páginas
413
Encuadernación
Tapa Blanda
Dimensiones
25.10 x 17.00 x 2.00 cm
ISBN13
9780898715446

Introduction to Numerical Continuation Methods (en Inglés)

Eugene L. Allgower;Kurt Georg (Autor) · SIAM - Society for Industrial and Applied Mathematics · Tapa Blanda

Introduction to Numerical Continuation Methods (en Inglés) - Eugene L. Allgower;Kurt Georg

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Reseña del libro "Introduction to Numerical Continuation Methods (en Inglés)"

Numerical continuation methods have provided important contributions toward the numerical solution of nonlinear systems of equations for many years. This book, 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.

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.

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