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
Link To Document :
بازگشت