Approximation Methods for the Consistent Initialization of Differential-Algebraic Equations
Leimkuhler, Benedict Joseph
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https://hdl.handle.net/2142/72055
Description
Title
Approximation Methods for the Consistent Initialization of Differential-Algebraic Equations
Author(s)
Leimkuhler, Benedict Joseph
Issue Date
1988
Doctoral Committee Chair(s)
Gear, William,
Department of Study
Computer Science
Discipline
Computer Science
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Computer Science
Abstract
The algebraic constraints in a system of differential-algebraic equations (DAEs) impose a consistency requirement on the initial values that can be difficult to satisfy. In this thesis the consistency requirement is characterized by a system of equations. An approximation method is introduced for these equations, and the numerical solution of the resulting system is analyzed for certain important classes of DAEs. Finally, some numerical experiments are described.
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