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Properties and extensions of a single‐step algorithm for dynamic problems
Author(s) -
Thomas R. M.
Publication year - 1982
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290100609
Subject(s) - stability (learning theory) , algorithm , ordinary differential equation , class (philosophy) , two step , single phase , differential (mechanical device) , computer science , mathematics , mathematical optimization , differential equation , engineering , mathematical analysis , artificial intelligence , machine learning , aerospace engineering , electrical engineering
Recently, a new class of single‐step methods for solving linear systems of second order ordinary differential equations has been introduced by Zienkiewicz et al. 1 We derive the stability, phase and damping properties of these methods and suggest some possible improvements with the aim of improving accuracy.