| 书目名称 | Numerical Continuation Methods |
| 副标题 | An Introduction |
| 编辑 | Eugene L. Allgower,Kurt Georg |
| 视频video | |
| 丛书名称 | Springer Series in Computational Mathematics |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 1990 |
| 关键词 | Algorithmus; Approximation; Numerical continuation; Verzweigungspunkte; bifurcation; boundary element met |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-61257-2 |
| isbn_softcover | 978-3-642-64764-2 |
| isbn_ebook | 978-3-642-61257-2Series ISSN 0179-3632 Series E-ISSN 2198-3712 |
| issn_series | 0179-3632 |
| copyright | Springer-Verlag Berlin Heidelberg 1990 |
发表于 2025-3-21 16:13:35
