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Solution procedures for indexed equation sets: Structural considerations
Author(s) -
Allen Gary L.,
Westerberg Arthur W.
Publication year - 1976
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690220319
Subject(s) - fortran , fractionating column , column (typography) , distillation , mathematics , computer science , index (typography) , algorithm , mathematical optimization , chemistry , chromatography , geometry , programming language , connection (principal bundle)
Results are obtained permitting the systematic development of solution procedures for indexed equations by analyzing and combining a number of small problems. The solution procedures obtained are independent of index limits and can be written compactly by using nested FORTRAN DO‐loops or equivalent. To illustrate the approach, a solution procedure is developed for a multistage, multicomponent distillation column segment. The solution procedure is valid for any number of stages and components.