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Introduction to Numerical Continuation Methods (Paperback, Illustrated Ed)
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Introduction to Numerical Continuation Methods (Paperback, Illustrated Ed)
Series: Classics in Applied Mathematics, No. 45
Expected to ship within 12 - 17 working days
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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.
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