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A general technique to improve stability property for a structure‐dependent integration method
Author(s) -
Chang ShuennYih
Publication year - 2014
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4806
Subject(s) - property (philosophy) , stability (learning theory) , inertia , mathematics , work (physics) , mathematical optimization , computer science , engineering , physics , mechanical engineering , philosophy , epistemology , machine learning , classical mechanics
Summary A general technique is proposed to improve the stability property of a structure‐dependent integration method, which is very computationally efficient in solving inertia‐type problems when compared with conventional integration methods, by introducing a stability amplification factor into the coefficient matrices of difference equations. As a result, an improved structure‐dependent integration method with a better stability property can be achieved. The concept, derivation, and validation of this technique are intensively studied and are presented in this work. It is evident that the technique can be applied to any structure‐dependent integration method to enhance its stability property. Copyright © 2014 John Wiley & Sons, Ltd.