Stability of numerical integration of ordinary differential equations Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/rj4306814

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  • 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.
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  • 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.
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  • description.provenance : Submitted by Georgeann Booth (gbscannerosu@gmail.com) on 2014-06-09T18:47:27Z No. of bitstreams: 1 LathropJames1963.pdf: 506183 bytes, checksum: 7cbfec0dbe85bd277f8526253c18d700 (MD5)
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  • description.provenance : Approved for entry into archive by Katy Davis(kdscannerosu@gmail.com) on 2014-06-19T20:21:00Z (GMT) No. of bitstreams: 1 LathropJames1963.pdf: 506183 bytes, checksum: 7cbfec0dbe85bd277f8526253c18d700 (MD5)
  • description.provenance : Made available in DSpace on 2014-06-19T20:21:00Z (GMT). No. of bitstreams: 1 LathropJames1963.pdf: 506183 bytes, checksum: 7cbfec0dbe85bd277f8526253c18d700 (MD5) Previous issue date: 1963-05-08

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