Lectures on Numerical Methods in Bifurcation Problems
by H.B. Keller
Publisher: Tata Institute Of Fundamental Research 1986
Number of pages: 140
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.
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by Jan Awrejcewicz - InTech
The book introduces theoretical approach to numerical analysis as well as applications of various numerical methods to solving numerous theoretical and engineering problems. The book is useful for both theoretical and applied research.
by M.N. Spijker - Leiden University
Stability estimates and resolvent conditions in the numerical solution of initial value problems. Contents: Partial differential equations and numerical methods; Linear algebra; Stability in the numerical solution of differential equations; etc.
by Leon Q. Brin - Southern Connecticut State University
A one semester introduction to numerical analysis. Includes typical introductory material, root finding, numerical calculus, and interpolation techniques. The focus is on the mathematics rather than application to engineering or sciences.
by James M. McDonough - University of Kentucky
These notes cover the following topics: Numerical linear algebra; Solution of nonlinear equations; Approximation theory; Numerical solution of ordinary differential equations; Numerical solution of partial differential equations.