Abstract

A complete theory of dimensional and scaling analysis is presented and its power is demonstrated through a series of examples. A vector-matrix exponentiation is introduced to simplify notation and calculus.

Keywords

  1. dimensional analysis
  2. mathematical modeling
  3. units
  4. scaling
  5. vector-matrix exponentiation

MSC codes

  1. 00A71
  2. 00A73
  3. 76M55
  4. 15A03
  5. 15A04
  6. 97F70
  7. 97M50

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Information & Authors

Information

Published In

cover image SIAM Review
SIAM Review
Pages: 159 - 184
ISSN (online): 1095-7200

History

Submitted: 8 December 2016
Accepted: 27 March 2018
Published online: 7 February 2019

Keywords

  1. dimensional analysis
  2. mathematical modeling
  3. units
  4. scaling
  5. vector-matrix exponentiation

MSC codes

  1. 00A71
  2. 00A73
  3. 76M55
  4. 15A03
  5. 15A04
  6. 97F70
  7. 97M50

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