A Critical Evaluation of Computer Subroutines for Solving Stiff Differential Equations.

Abstract

A number of commonly available computer subroutines for solving differential equation systems are tested and compared for their ability to solve stiff systems. A stiff system is defined as either: a system with widely separated eigenvalues or time constants or a system with diverging exponential terms which have small or zero coefficients due to a particular choice of initial conditions. For example, it is believed that the governing differential equations of large complex mechanical system models (such as, human-body/crash-victim simulation models, finite segment structural models, and large vibrating system models) are frequently stiff.

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Document Details

Document Type
Technical Report
Publication Date
Oct 15, 1978
Accession Number
ADA064545

Entities

People

  • Dennis C. Krinke
  • Ronald L. Huston

Organizations

  • University of Cincinnati

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Accuracy
  • Automatic
  • Coefficients
  • Computer Programming
  • Computers
  • Differential Equations
  • Efficiency
  • Eigenvalues
  • Engineering
  • Equations
  • Equations Of Motion
  • Errors
  • Human Body
  • Intervals
  • Plastic Explosives
  • Precision
  • Self Assembly

Readers

  • Computational Modeling and Simulation
  • Control Systems Engineering.
  • Mechanical Engineering/Mechanics of Materials.