|
Login to ask the library to add a book.
|
|
Active Filter Settings
No Active Filters
|
|
|
|
|
first record
| previous record
| next record
| last record
|
full | marc
|
Record 1 of 1
|
|
| |
Total Requests 0 Unsatisfied Requests 0
|
|
You searched IISERK - Author: Geological Society of India.
|
| Request |
|
|
Call Number
|
515/.353
|
|
Author
|
Allgower, E. L. (Eugene L.)
|
|
Title
|
Introduction to numerical continuation methods [electronic resource] / Eugene L. Allgower, Kurt Georg.
|
|
Publication
|
Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2003.
|
|
Material Info.
|
1 electronic text (xxv, 388 p.) : ill., digital file.
|
|
Series
|
Classics in applied mathematics ; 45
|
|
Series
|
Classics in applied mathematics ; 45.
|
|
Summary Note
|
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 also features the piecewise linear approximation of implicitly defined surfaces, the algorithms of which are frequently used in computer graphics, mesh generation, and the evaluation of surface integrals. To help potential users of numerical continuation methods create programs adapted to their particular needs, this book presents pseudo-codes and Fortran codes as illustrations. Since it first appeared, many specialized packages for treating such varied problems as bifurcation, polynomial systems, eigenvalues, economic equilibria, optimization, and the approximation of manifolds have been written. The original extensive bibliography has been updated in the SIAM Classics edition to include more recent references and several URLs so users can look for codes to suit their needs. Audience: this book continues to be useful for researchers and graduate students in mathematics, sciences, engineering, economics, and business. A background in elementary analysis and linear algebra are adequate prerequisites for reading this book; some knowledge from a first course in numerical analysis may also be helpful.
|
|
Notes
|
Includes bibliographical references (p. 346-382) and index.
|
|
Notes
|
Introduction -- The basic principles of continuation methods -- Newton's method as corrector -- Solving the linear systems -- Convergence of Euler-Newton-like methods -- Steplength adaptations for the predictor -- Predictor-corrector methods using updating -- Detection of bifurcation points along a curve -- Calculating special points of the solution curve -- Large scale problems -- Numerically implementable existence proofs -- PL continuation methods -- PL homotopy algorithms -- General PL algorithms on PL manifolds -- Approximating implicitly defined manifolds -- Update methods and their numerical stability -- Appendix 1: A simple PC continuation method -- Appendix 2: A PL homotopy method -- Appendix 3: A Simple Euler Newton update method -- Appendix 4: A continuation algorithm for handling bifurcation -- Appendix 5: A PL surface generator -- Appendix 6: SCOUT | Simplicial continuation utilities.
|
|
ISBN
|
9780898719154 (electronic bk.)
|
|
Subject
|
Continuation methods.
|
|
Subject
|
Continuation methods
|
|
Subject
|
Euler-Newton method
|
|
Added Entry
|
Georg, Kurt.
|
|
Added Entry
|
Society for Industrial and Applied Mathematics.
|
|
Date
|
Year, Month, Day:01405141
|
|
Link
|
SIAM
|
|
|
|
|
