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Appendix D: Program 4. A Continuation Algorithm for Handling Bifurcation by Allgower, Eugene L.; Georg, Kurt is a scholarly article available to read on EtoBox.

What is Appendix D: Program 4. A Continuation Algorithm for Handling Bifurcation about?

For many years, numerical continuation methods have provided important contributions toward the numerical solution of nonlinear systems of equations. 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. These seemingly distinct methods share many common features and general principles, and 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, the book presents pseudo-codes and Fortran codes as illustrations. Since it first appeared, many specialized packages for treating such varied problems as bi

Author

Allgower, Eugene L.; Georg, Kurt

Publisher

Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)

Published

2003

Language

EN

ISBN

9780898719154