On the Computation of Impasse Points of Quasilinear Differential Algebraic Equations

Abstract

We present computational algorithms for the calculation of impasse points and higher order singularities in quasilinear differential-algebraic equations. Our method combines a reduction step transforming the DAE into a singular ODE with an augmentation procedure inspired by numerical bifurcation theory. Singularities are characterized by the vanishing of a scalar quantity that may be monitored along any trajectory. Two numerical examples with physical relevance are given.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1992
Accession Number
ADA253067

Entities

People

  • Patrick J. Rabier
  • Werner Rheinboldt

Organizations

  • University of Pittsburgh

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Classification
  • Computations
  • Coordinate Systems
  • Differential Equations
  • Electrical Engineering
  • Equations
  • Integral Equations
  • Intervals
  • Mathematical Analysis
  • Mathematics
  • New York
  • Nonlinear Analysis
  • Numerical Analysis
  • Standards
  • Theorems
  • Trajectories

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Linear Algebra