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University of Illinois at Urbana-Champaign

Approximation Methods for the Consistent Initialization of Differential-Algebraic Equations

Abstract

dc:description

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.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Computer Science
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2014

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Leimkuhler, Benedict Joseph
Contributors dc:contributor
  • Gear, William,

Subjects

dc:subject × 2

Identifiers

dc:identifier.*
Identifier
(UMI)AAI8908747
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/72055

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Leimkuhler, Benedict Joseph. Approximation Methods for the Consistent Initialization of Differential-Algebraic Equations. Dissertation thesis, University of Illinois at Urbana-Champaign, 2014. http://hdl.handle.net/2142/72055