Numerical Continuation Methods: An Introduction (SPRINGER SERIES IN COMPUTATIONAL MATHEMATICS) - Hardcover

Eugene & Georg Kurt Allgower; Kurt Georg

Hardcover

ISBN 10: 0387127607 ISBN 13: 9780387127606

Publisher: Springer Verlag, 1990

Synopsis

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.

Edition details

• Publisher: Springer Verlag
• Publication date: 1990
• ISBN 10: 0387127607
• ISBN 13: 9780387127606
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 388