• DocumentCode
    1187614
  • Title

    A Method to Solve Very Large Physical Systems in Easy Stages

  • Author

    Kron, Gabriel

  • fYear
    1953
  • fDate
    12/1/1953 12:00:00 AM
  • Firstpage
    71
  • Lastpage
    90
  • Abstract
    Physical systems with very large number of variables (say with tens of thousands of variables) may be solved with already available digital computers by tearing the system apart into a large number of small subdivisions, solving each subdivision separately, afterward interconnecting the partial solutions by a set of transformations to obtain outright the exact solution of the original system, Among the many advantages of the tearing (or tensorial) method is the red 3 ction of the amount of original calculations to a small fraction of about 2/n2where n is the number of subdivisions. Another advantage is the reduction of the number of elements in inverse matrices to a fraction smaller than 1/ \\sqrt {n} . The same saving of labor appears also in smaller systems employing slide-rule calculations.
  • Keywords
    Calculus; Difference equations; Impedance; Integrated circuit interconnections; Magnetic circuits; Maxwell equations; Partial differential equations; Physics computing; Poisson equations; Power generation economics; Power system economics; Power system interconnection; Propagation losses; Resistance heating; Steady-state;
  • fLanguage
    English
  • Journal_Title
    Circuit Theory, Transactions of the IRE Professional Group on
  • Publisher
    ieee
  • ISSN
    0197-6389
  • Type

    jour

  • DOI
    10.1109/TCT.1953.1085210
  • Filename
    1085210