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Introduction to Numerical Continuation Methods
Numerical continuation methods have provided important contributions toward the numerical solution of nonlinear systems of equations for many years. The methods may be used not only to compute solutions, which might otherwise be hard to obtain, but also to gain insight into qualitative properties of the solutions. Introduction to Numerical Continuation Methods, originally published in 1979, was the first book to provide easy access to the numerical aspects of predictor corrector continuation and piecewise linear continuation methods. Not only do these seemingly distinct methods share many common features and general principles, they can be numerically implemented in similar ways. The book al...
Bifurcation and Chaos: Analysis, Algorithms, Applications
This volume contains the proceedings of a conference held in Wiirzburg, August 20-24, 1990. The theme of the conference was Bifurcation and Chaos: Analysis, Algorithms, Ap plications. More than 100 scientists from 21 countries presented 80 contributions. Many of the results of the conference are described in the 49 refereed papers that follow. The conference was sponsored by the Deutsche Forschungsgemeinschaft, and by the Deutscher Akademischer Austauschdienst. We gratefully acknowledge the support from these agen cies. The science of nonlinear phenomena is evolving rapidly. Over the last 10 years, the emphasis has been gradually shifting. How trends vary may be seen by comparing these proce...
Numerical Continuation Methods
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.
Kartwelisches Etymologisches Wörterbuch
This dictionary offers a complete compilation and a historical-comparative reflection of the hereditary lexis of the Kartvelian (South Caucasian) language family. With this significantly enlarged (e.g. more than a thousand new etymologies) and revised successor of Surab Sardsheweladse's and Heinz Fähnrich's earlier dictionary (Brill, 1995) the author here represents the latest stage of etymological research. The dictionary contains a wealth of new lexical entries, corrections of earlier attempts and new reconstructions. The introduction provides a survey of general data of the four Kartvelian languages (Georgian, Mingrelian, Laz, Svan), characterizes the historical-comparative research in short and provides a detailed description of the system of regular phoneme correspondences in its newest form. The main part presents the Kartvelian lexis in separate entries. The reconstructed forms of the root- and affix morphemes are listed in alphabetical order of the Georgian script followed by instances of the Kartvelian languages. Each entry covers the phonological development of the lexical item from its original form to its present state and is amply supplemented by references.
Mathematical Programming The State of the Art
In the late forties, Mathematical Programming became a scientific discipline in its own right. Since then it has experienced a tremendous growth. Beginning with economic and military applications, it is now among the most important fields of applied mathematics with extensive use in engineering, natural sciences, economics, and biological sciences. The lively activity in this area is demonstrated by the fact that as early as 1949 the first "Symposium on Mathe matical Programming" took place in Chicago. Since then mathematical programmers from all over the world have gath ered at the intfrnational symposia of the Mathematical Programming Society roughly every three years to present their rece...
Etymological Dictionary of the Kartvelian Languages
With about 1400 entries, this dictionary presents an etymological analysis of Karvelian vocabulary. The analysis presented draws a clear distinction between two important stages, earlier Common Karvela on the one hand and later Georgia-Zan on the other.
Computer Algebra Handbook
This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.
The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebraic-geometric approach to the numerical solution of polynomial systems and also the first one to treat numerical methods for finding positive dimensional solution sets. The text covers the full theory from methods developed for isolated solutions in the 1980's to the most recent research on positive dimensional sets.
