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/
. The same saving of labor appears also in smaller systems employing slide-rule calculations.
. 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
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