Digital Simulation of Dynamical Systems.

Abstract

The report covers the initial phases of an investigation into proved methods of simulating dynamical systems on a digital computer. The two main areas discussed are: Implicit temporal integration algorithms. It is shown why implicit temporal algorithms reduce computer time for stiff systems (systems with widely separated eigenvalues). Successful results using such algorithms are reported; Improved finite difference algorithms for the spatial derivatives in partial differential equations. Improved accuracy for finite difference methods coupling higher numbers of spatial points is demonstrated by an eigenvalue analysis of several linear distributed parameter systems. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 06, 1973
Accession Number
AD0757673

Entities

People

  • A. M. Loeb

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Computers
  • Control Simulators
  • Couplings
  • Differential Equations
  • Digital Computers
  • Eigenvalues
  • Equations
  • Mathematical Analysis
  • Partial Differential Equations
  • Simulations
  • Simulators

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Image Processing and Computer Vision.
  • Linear Algebra