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Gear, William, Leimkuhler, Benedict Joseph 2014-12-17T20:00:17Z 2014-12-17T20:00:17Z 10000-01-01 1988 1988 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. Made available in DSpace on 2014-12-17T20:00:17Z (GMT). No. of bitstreams: 1 8908747.pdf: 3505900 bytes, checksum: 703a6cd8ff9a867b1381842397a4d99f (MD5) Previous issue date: 1988 Embargo set by: Seth Robbins for item 72223 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 102 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1988. http://hdl.handle.net/2142/72055 (UMI)AAI8908747 Mathematics Computer Science Approximation Methods for the Consistent Initialization of Differential-Algebraic Equations text Computer Science Computer Science University of Illinois at Urbana-Champaign Dissertation Ph.D.