Stability of numerical integration of ordinary differential equations

Graduate Thesis Or Dissertation

Public Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/rj4306814

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Attribute Name	Values
Creator	Lathrop, James Frank
Abstract	The thesis discusses stability of procedures based on linear computing formulas for numerical integration of an ordinary first-order differential equation. The theorems are proved: (1) If the procedure is asymptotically stable it is stable for small positive step size if the Lipschitz number is negative; (2) Relative stability always exists if asymptotic stability does; (3) If the Lipschitz constant is positive, there is an integration procedure based on a linear computing formula of order one, which is, however, not asymptotically stable. An algorithm for the general case is included,, written in the Algol 60 language.
Resource Type	Masters Thesis
Date Available	2014-06-19T20:21:00+00:00
Date Issued	1963-05-08
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	1963
Advisor	Goheen, Harry
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Algorithms Differential equations -- Numerical solutions Numerical calculations
Rights Statement	Copyright Not Evaluated
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Digitization Specifications	File scanned at 300 ppi using ScandAll PRO 1.8.1 on a Fi-6670 in PDF format. CVista PdfCompressor 5.0 was used for pdf compression and textual OCR.
Replaces	http://hdl.handle.net/1957/49210

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