Numerical Continuation Methods: An Introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1990
|
| Schriftenreihe: | Springer Series in Computational Mathematics
13 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XIV, 388p. 37 illus) |
| ISBN: | 9783642612572 9783642647642 |
| ISSN: | 0179-3632 |
| DOI: | 10.1007/978-3-642-61257-2 |
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Datensatz im Suchindex
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| author | Allgower, Eugene L. |
| author_facet | Allgower, Eugene L. |
| author_role | aut |
| author_sort | Allgower, Eugene L. |
| author_variant | e l a el ela |
| building | Verbundindex |
| bvnumber | BV042422788 |
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| dewey-full | 518 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518 |
| dewey-search | 518 |
| dewey-sort | 3518 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-61257-2 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783642612572 9783642647642 |
| issn | 0179-3632 |
| language | English |
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| spelling | Allgower, Eugene L. Verfasser aut Numerical Continuation Methods An Introduction by Eugene L. Allgower, Kurt Georg Berlin, Heidelberg Springer Berlin Heidelberg 1990 1 Online-Ressource (XIV, 388p. 37 illus) txt rdacontent c rdamedia cr rdacarrier Springer Series in Computational Mathematics 13 0179-3632 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 Mathematics Numerical analysis Economics Numerical Analysis Economic Theory Mathematik Wirtschaft Nichtlineares Gleichungssystem (DE-588)4202607-6 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Fortsetzungsmethode (DE-588)4246522-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Erweiterung (DE-588)4128080-5 gnd rswk-swf Nichtlineares Gleichungssystem (DE-588)4202607-6 s Fortsetzungsmethode (DE-588)4246522-9 s 1\p DE-604 Erweiterung (DE-588)4128080-5 s Numerische Mathematik (DE-588)4042805-9 s 2\p DE-604 Numerisches Verfahren (DE-588)4128130-5 s 3\p DE-604 Georg, Kurt Sonstige oth https://doi.org/10.1007/978-3-642-61257-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Allgower, Eugene L. Numerical Continuation Methods An Introduction Mathematics Numerical analysis Economics Numerical Analysis Economic Theory Mathematik Wirtschaft Nichtlineares Gleichungssystem (DE-588)4202607-6 gnd Numerische Mathematik (DE-588)4042805-9 gnd Fortsetzungsmethode (DE-588)4246522-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Erweiterung (DE-588)4128080-5 gnd |
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| title | Numerical Continuation Methods An Introduction |
| title_auth | Numerical Continuation Methods An Introduction |
| title_exact_search | Numerical Continuation Methods An Introduction |
| title_full | Numerical Continuation Methods An Introduction by Eugene L. Allgower, Kurt Georg |
| title_fullStr | Numerical Continuation Methods An Introduction by Eugene L. Allgower, Kurt Georg |
| title_full_unstemmed | Numerical Continuation Methods An Introduction by Eugene L. Allgower, Kurt Georg |
| title_short | Numerical Continuation Methods |
| title_sort | numerical continuation methods an introduction |
| title_sub | An Introduction |
| topic | Mathematics Numerical analysis Economics Numerical Analysis Economic Theory Mathematik Wirtschaft Nichtlineares Gleichungssystem (DE-588)4202607-6 gnd Numerische Mathematik (DE-588)4042805-9 gnd Fortsetzungsmethode (DE-588)4246522-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Erweiterung (DE-588)4128080-5 gnd |
| topic_facet | Mathematics Numerical analysis Economics Numerical Analysis Economic Theory Mathematik Wirtschaft Nichtlineares Gleichungssystem Numerische Mathematik Fortsetzungsmethode Numerisches Verfahren Erweiterung |
| url | https://doi.org/10.1007/978-3-642-61257-2 |
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