Software for the Parallel Solution of Systems of Ordinary Differential Equations

Abstract

In this report we supply software for the numerical solution of systems of ordinary differential equations (ODEs) on an INTEL iPSC/2 hypercube. The first program can only be used to solve linear initial or boundary value systems of ODEs and based on an algorithm developed by Katti and Neta (1989) and improved by Lustman et al (1990). The second program is based on polynomial extrapolation and Gragg's scheme and is useful for nonlinear ODEs as well. This algorithm is described in Lustman, Neta and Gragg (1991).

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1991
Accession Number
ADA235489

Entities

People

  • Beny Neta
  • Levi Lustman

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Civil Engineering
  • Differential Equations
  • Engineering
  • Equations
  • Extrapolation
  • Intervals
  • Linear Systems
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Systems
  • Nuclear Engineering
  • Parallel Computing
  • Parallel Processing
  • Polynomials
  • Universities

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Parallel and Distributed Computing.