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Generalized BDF methods applied to Hessenberg form DAEs

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Title: Generalized BDF methods applied to Hessenberg form DAEs
Author(s): Keiper, Jerry Bruce
Doctoral Committee Chair(s): Gear, C. W.
Department / Program: Computer Science
Discipline: Computer Science
Degree Granting Institution: University of Illinois at Urbana-Champaign
Degree: Ph.D.
Genre: Dissertation
Subject(s): Computer Science
Abstract: We study the numerical solution of Hessenberg form differential algebraic equations by variable stepsize generalized backward difference formulae (GBDF). GBDF methods of sufficiently high order are shown to converge for problems of index two, three, or four. The proof techniques developed are not sufficiently powerful to show convergence for index five problems. In addition, we perform very high precision numerical experiments on problems of index two, three, four, and five, using the classical six step backward difference formula. The experiments confirm the analysis regarding the error behavior of the index two and three problems, but suggest that the analysis of the index four problem is too pessimistic. It appears from the experiments that index five problems can also be solved by GBDF methods.
Issue Date: 1989
Type: Text
Language: English
URI: http://hdl.handle.net/2142/21587
Rights Information: Copyright 1989 Keiper, Jerry Bruce
Date Available in IDEALS: 2011-05-07
Identifier in Online Catalog: AAI9010913
OCLC Identifier: (UMI)AAI9010913
 

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