Accession Number : ADA311182

Title :   Solving Algebraically Explicit DAES with the Manpack-Manifold-Algorithms.

Descriptive Note : Technical rept.,

Corporate Author : PITTSBURGH UNIV PA DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s) : Rheinboldt, Werner C.

PDF Url : ADA311182

Report Date : JUL 1996

Pagination or Media Count : 24

Abstract : Recently, the author introduced a package of algorithms, called MANPAK, for effective computations on implicitly defined submanifolds of Rn. Here, algebraically, explicit differential algebraic equations (DAEs) are considered; that is, DAEs in which either the algebraic equations and/or the algebraic variables are explicitly specified. Existence proofs for several types of such DAEs of index one, two, and three are given which directly suggest computational approaches. This is used in the development of solution algorithms for these DAEs, all of them intrinsically based on the MANPAK routines. Some numerical examples for the methods are included.

Descriptors :   *ALGORITHMS, COMPUTER PROGRAMS, COMPUTATIONS, PARAMETERS, MATRICES(MATHEMATICS), NONLINEAR SYSTEMS, CONVERGENCE, DIFFERENTIAL EQUATIONS, EULER EQUATIONS, SUBROUTINES, NONLINEAR ALGEBRAIC EQUATIONS, MAPPING(TRANSFORMATIONS), RUNGE KUTTA METHOD, LAGRANGIAN FUNCTIONS, ALGEBRAIC FUNCTIONS.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE