Implementing Tensor Analysis in Mathematica with Illustrations from Schwarzchild Gravitation.

Abstract

Expressions that play roles in tensor analysis, such as Christofell symbols and curvature tensors, are coded as Mathematica modules by straightforward transcription of their defining equations. The built-in functions can then be used to perform tensor analysis and numerical evaluations. The utility of the Mathematica formulation is illustrated by examples from Schwarzchild gravitation. (AN)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1995
Accession Number
ADA296364

Entities

People

  • Lawrence V. Meisel

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Computations
  • Curvature
  • Engineering
  • Equations
  • Geometry
  • Information Operations
  • Information Security
  • Materials
  • Military Research
  • Orbits
  • Relativity Theory
  • Security
  • Tensor Analysis
  • Tensors
  • Trajectories
  • Two Dimensional

Readers

  • Computational Modeling and Simulation
  • Graph Algorithms and Convex Optimization.