A Numerical Method to Integrate Stiff Systems of Ordinary Differential Equations

Abstract

A method is described for the efficient integration of stiff systems of ordinary differential equations. The method, based on a predictor-corrector formulation, uses the Jacobian in a non-standard fashion. The resulting program is compared with EPISODE, a standard stiff integrator, for a number of systems of ordinary differential equations. The results show that the procedure is usually competitive with EPISODE and is more efficient for some problems. (

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1980
Accession Number
ADA080998

Entities

People

  • J. M. Heimerl
  • M. D. Kregel
  • T. P. Coffee

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Chemical Engineering
  • Chemical Reactions
  • Computations
  • Computers
  • Convergence
  • Differential Equations
  • Eigenvalues
  • Electron Density
  • Electrons
  • Engineering
  • Equations
  • Military Research
  • Numerical Analysis
  • Standards
  • Truncation

Fields of Study

  • Mathematics

Readers

  • Aerospace Test and Evaluation
  • Calculus or Mathematical Analysis
  • Linear Algebra