Numerical Solution of Stiff Ordinary Differential Equations.

Abstract

An analysis is presented for alternate numerical techniques for solving stiff ordinary differential equations. These techniques include a singular perturbation or pseudo-steady-state method and an imbedded, error-monitoring semi-implicit Runge-Kutta method. Extensive numerical experience on equations which are linear/nonlinear, small/large dimensional, and moderately/strongly stiff reveals that the singular perturbation method is most efficient for very stiff problems while the imbedded Runge-Kutta method is superb over a wide range of stiffness. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 31, 1977
Accession Number
ADA036176

Entities

People

  • Leon Lapidus

Organizations

  • Princeton University

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Monitoring
  • Numerical Analysis
  • Perturbations
  • Runge Kutta Method
  • Steady State
  • Stiffness

Fields of Study

  • Mathematics

Readers

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