Finite Difference Methods for Time-Dependent, Linear Differential Algebraic Equations

Abstract

Recently the authors developed a global reduction procedure for linear, time-dependent DAE that transforms their solutions into solutions of smaller, systems of ODE's. Here it is shown that this reduction allows for the construction of simple, covergent finite difference schemes for such equations.

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Document Details

Document Type
Technical Report
Publication Date
Oct 27, 1993
Accession Number
ADA272835

Entities

People

  • Patrick J. Rabier
  • Werner C. Reinboldt

Organizations

  • University of Pittsburgh

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Analytic Functions
  • Boundary Value Problems
  • Coefficients
  • Construction
  • Difference Equations
  • Differential Equations
  • Equations
  • Extrapolation
  • Formulas (Mathematics)
  • Linear Algebra
  • Mathematics
  • New York
  • Standards
  • Statistics
  • Universities

Fields of Study

  • Mathematics

Readers

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