![Georg, Kurt / Eugene L. Allgower. Numerical Continuation Methods - An Introduction. Springer Berlin Heidelberg, 2011.](https://eichendorff21.de/cdata/S_rBMYDftj28aGkTqK6GVJXIC4g=/300x0/9783642647642.png)
- Springer Berlin Heidelberg
- 2011
- Taschenbuch
- 408 Seiten
- ISBN 9783642647642
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
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