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Science/Engineering Numerical Solution of Two-Point Boundary Value Problems

Posted on 2010-04-13




Name:Science/Engineering Numerical Solution of Two-Point Boundary Value Problems
ASIN/ISBN:0898710219
Language:English
File size:2 Mb
ISBN: 0898710219
Publish Date: January 1, 1987
File Type: PDF (OCR)
Pages: 69 pages
File Size: 2631 KB
Other Info: Society for Industrial Mathematics
   Science/Engineering Numerical Solution of Two-Point Boundary Value Problems

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Numerical Solution of Two-Point Boundary Value Problems (CBMS-NSF Regional Conference Series in Applied Mathematics): Herbert B. Keller

A concise, elementary yet rigorous account of practical numerical methods for solving very general two-point boundary-value problems. Directed to students with a knowledge of advanced calculus and basic numerical analysis, and some background in ordinary differential equations and linear algebra. More than 100 problems augment and clarify the textual material.

Lectures on a unified theory of and practical procedures for the numerical solution of very general classes of linear and nonlinear two point boundary-value problems.

From the Preface:

This monograph is an account of ten lectures I presented at the Regional Research Conference on Numerical Solution of Two-Point Boundary Value Problems. The Conference was held at Texas Tech. University on July 7-11, 1975, and was one of a series supported by the National Science Foundation and managed by the Conference Board of the Mathematical Sciences,

I have used this opportunity, in part, to augment and bring up to date portions of a previous monograph on this subject, However, as the lectures coulc only be a partial survey of the field, many interesting topics had to be omitted. Indeed the omissions form the basis for another conference in this area. They include: automatic net selection, singular perturbation problems, bifurcation problems, optimal control problems, the completion of difference scheme to yeild invariantembedding schemes, Galerkin methods, collocation (with other than C0 piecewise polynomials), singular nonlinear problems and no doubt other significant topics. However, the main core of the subject is covered rather broadly and some proofs have been included when they are brief and contribute to a better understanding. Quite a bit of new material is covered and numerous areas in need of study are exposed.

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