Approximation Methods for the Consistent Initialization of Differential-Algebraic Equations

102 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 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.U of I OnlyRestricted to the U of I community idenfinitely during batch ingest of legacy ETD