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Numerical Continuation Methods - An Introduction (Paperback, Softcover reprint of the original 1st ed. 1990)
Loot Price: R1,437
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Numerical Continuation Methods - An Introduction (Paperback, Softcover reprint of the original 1st ed. 1990)
Series: Springer Series in Computational Mathematics, 13
Expected to ship within 18 - 22 working days
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Over the past fifteen years two new techniques have yielded
extremely important contributions toward the numerical solution of
nonlinear systems of equations. This book provides an introduction
to and an up-to-date survey of numerical continuation methods
(tracing of implicitly defined curves) of both predictor-corrector
and piecewise-linear types. It presents and analyzes
implementations aimed at applications to the computation of zero
points, fixed points, nonlinear eigenvalue problems, bifurcation
and turning points, and economic equilibria. Many algorithms are
presented in a pseudo code format. An appendix supplies five sample
FORTRAN programs with numerical examples, which readers can adapt
to fit their purposes, and a description of the program package
SCOUT for analyzing nonlinear problems via piecewise-linear
methods. An extensive up-to-date bibliography spanning 46 pages is
included. The material in this book has been presented to students
of mathematics, engineering and sciences with great success, and
will also serve as a valuable tool for researchers in the field.
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