On the Theory and Numerics of Differential-Algebraic Equations

Abstract

This is a written version of a series of invited lectures on differential-algebraic systems of equations (DAEs) at the IVth SERC Numerical Analysis Summer School of Lancaster Univ. In line with the aims of the meeting these notes introduce some typical applications and basic properties of DAEs and then present an overview of recent, new existence theories for such systems based on differential geometric considerations and on a numerical approach derived from these theories. In the presentation the stress is on general concepts, results and applications rather than on detailed proofs.

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Document Details

Document Type
Technical Report
Publication Date
May 19, 1990
Accession Number
ADA222427

Entities

People

  • Werner Rheinboldt

Organizations

  • University of Pittsburgh

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Circuits
  • Coordinate Systems
  • Differential Equations
  • Electrical Circuits
  • Electronic Circuits
  • Equations
  • Equations Of Motion
  • Linear Systems
  • Mathematics
  • New York
  • Nonlinear Systems
  • Numerical Analysis
  • Numerical Integration
  • Runge Kutta Method
  • Sheet Metal
  • Theorems
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Academic Conference Management
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)