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Titlebook: Numerical Continuation Methods; An Introduction Eugene L. Allgower,Kurt Georg Book 1990 Springer-Verlag Berlin Heidelberg 1990 Algorithmus.

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書目名稱Numerical Continuation Methods
副標(biāo)題An Introduction
編輯Eugene L. Allgower,Kurt Georg
視頻videohttp://file.papertrans.cn/669/668977/668977.mp4
叢書名稱Springer Series in Computational Mathematics
圖書封面Titlebook: Numerical Continuation Methods; An Introduction Eugene L. Allgower,Kurt Georg Book 1990 Springer-Verlag Berlin Heidelberg 1990 Algorithmus.
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
關(guān)鍵詞Algorithmus; Approximation; Numerical continuation; Verzweigungspunkte; bifurcation; boundary element met
版次1
doihttps://doi.org/10.1007/978-3-642-61257-2
isbn_softcover978-3-642-64764-2
isbn_ebook978-3-642-61257-2Series ISSN 0179-3632 Series E-ISSN 2198-3712
issn_series 0179-3632
copyrightSpringer-Verlag Berlin Heidelberg 1990
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The Basic Principles of Continuation Methods,ch a system implicitly defines a curve or one-manifold of solution points. The theme of this book is to describe methods for numerically tracing such curves. In this chapter, we begin by describing some basic ideas. To make the context of our discussion precise, let us make the following.. . : .→ . ..
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Calculating Special Points of the Solution Curve,One of the main purposes of numerical continuation methods concerns the accurate determination of certain points on a smooth curve .(.) in .(0), which are of special interest.
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Eugene L. Allower,Kurt Georg. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 1 Background of Web-Based Mapping Applications . . . . . . . . . . . . . . . 1 1. 2 Properties of tile-based mapping systems . . . . . . . . . . 978-1-4899-9972-6978-1-4419-7631-4
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