Lectures on Numerical Methods in Bifurcation Problems
by H.B. Keller
Publisher: Tata Institute Of Fundamental Research 1986
ISBN/ASIN: 3540202285
Number of pages: 140
Description:
These lectures introduce the modern theory of continuation or path following in scientific computing. Almost all problem in science and technology contain parameters. Families or manifolds of solutions of such problems, for a domain of parameter variation, are of prime interest.
Download or read it online for free here:
Download link
(960KB, PDF)
Similar books
Numerical Analysis for Engineeringby Douglas W. Harder, Richard Khoury - University of Waterloo
Contents: Error Analysis, Numeric Representation, Iteration, Linear Algebra, Interpolation, Least Squares, Taylor Series, Bracketing, The Five Techniques, Root Finding, Optimization, Differentiation, Integration, Initial-value Problems, etc.
(14021 views)
The Calculus Of Finite Differencesby L. M. Milne Thomson - Macmillan and co
The object of this book is to provide a simple account of the subject of Finite Differences and to present the theory in a form which can be readily applied -- not only the useful material of Boole, but also the more modern developments.
(15213 views)
Robust Geometric Computationby Kurt Mehlhorn, Chee Yap - New York University
Contents: Introduction to Geometric Nonrobustness; Modes of Numerical Computation; Geometric Computation; Arithmetic Approaches; Geometric Approaches; Exact Geometric Computation; Perturbation; Filters; Algebraic Background; Zero Bounds; etc.
(11078 views)
Iterative Methods for Linear and Nonlinear Equationsby C.T. Kelley - SIAM
This book focuses on a small number of methods and treats them in depth. The author provides a complete analysis of the conjugate gradient and generalized minimum residual iterations as well as recent advances including Newton-Krylov methods.
(11474 views)