A Program for the Numerical Solution of Large Sparse Systems of Algebraic and Implicitly Defined Stiff Differential Equations

Abstract

This report documents a program for the numerical solution of large sparse systems of algebraic and implicitly defined stiff differential equations. The principal use is intended to be the solution of differential equations arising from time dependent partial differential equations when the finite element method is used to discretize the space domain. The use of compact matrix storage techniques and iteration for the solution of the quasi-Newton iterates in Gear's method makes the program extremely efficient both in terms of storage requirements and execution times.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1976
Accession Number
ADA024764

Entities

People

  • Richard Franke

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Classification
  • Differential Equations
  • Electronics Laboratories
  • Equations
  • Finite Element Analysis
  • Iterations
  • Linear Systems
  • Mathematics
  • Mechanical Engineering
  • Military Research
  • Numbers
  • Partial Differential Equations
  • Security
  • Sequences
  • Sparse Matrix
  • Square Roots
  • Storage

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space