Computer techniques yielding automatic and rigorous solutions to linear and nonlinear integral equations

Graduate Thesis Or Dissertation

Public Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/k930c185x

Descriptions

Attribute Name	Values
Creator	Winter, Lynn Taylor
Abstract	Interval arithmetic is applied to the problem of obtaining rigorous solutions to integral equations on a computer. The integral equations considered are the linear Fredholm equation of the second kind and the nonlinear Urysohn equation. Techniques are presented which enable the computer to find an approximate solution, prove the existence of an exact solution and bound the discrepancy. These techniques were implemented as computer programs and the results from test problems are given.
Resource Type	Masters Thesis
Date Available	2013-11-20T18:51:09+00:00
Date Issued	1976-11-04
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Computer Science
Degree Grantor	Oregon State University
Commencement Year	1977
Advisor	Davis, Joel
Academic Affiliation	Computer Science
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Integral equations -- Numerical solutions
Déclaration de droits	Copyright Not Evaluated
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Digitization Specifications	File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0.82 on a Canon DR-9080C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces	http://hdl.handle.net/1957/44262

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