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Solution of stiff ordinary differential equations by decomposition and orthogonal collocation
Author(s) -
Burka M. K.
Publication year - 1982
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.690280104
Subject(s) - orthogonal collocation , collocation method , ordinary differential equation , mathematics , collocation (remote sensing) , orthogonal functions , set (abstract data type) , stiff equation , mathematical analysis , proper orthogonal decomposition , decomposition , function (biology) , differential equation , computer science , physics , mechanics , ecology , machine learning , evolutionary biology , biology , programming language , turbulence
A fast and accurate method was developed for the integration of large sparse systems of stiff initial value ordinary differential equations. The system is ordered, decoupled and, if necessary, torn into subsystems (also called blocks) which are then solved by orthogonal collocation on finite elements. The size of these elements, or steps, is different for each subsystem and is a function of the stiffness of the set of equations constituting the subsystem. The steps are overlapped for maximum computational efficiency.