Symbol Manipulation and Applied Mathematics

Abstract

An algorithm was developed to symbolically compute the infinitesimal Lie symmetries of a system of partial differential equations. A theory based on simple geometric intuition was developed for using variational problems to generate numerical grids. Symbolic algorithms were developed for transforming the variational problems to FORTRAN subroutines. A theory is being developed for differencing general elliptic problems in general coordinates (needed when general numerical grids are used). Symbolic algorithms are also being developed for differencing such problems. All symbolic algorithms have been implemented in MACSYMA and some are being submitted to the MACSYMA share library. The FORTRAN code that was generated is being used in production modeling codes.

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Document Details

Document Type
Technical Report
Publication Date
Oct 15, 1989
Accession Number
ADA214702

Entities

People

  • Stanly Steinberg

Organizations

  • University of New Mexico

Tags

Communities of Interest

  • Human Systems
  • Space

DTIC Thesaurus Topics

  • Algebra
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Computers
  • Contracts
  • Differential Equations
  • Engineering
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Military Research
  • New Mexico
  • Partial Differential Equations
  • Students

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Science.
  • Fluid Dynamics.