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A unified set of single step algorithms. Part 2: Theory
Author(s) -
Wood W. L.
Publication year - 1984
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.1620201210
Subject(s) - algorithm , stability (learning theory) , set (abstract data type) , computer science , mathematics , differential equation , numerical integration , mathematical analysis , machine learning , programming language
Part 1 of this paper 1 presents a very general single step algorithm SS pj for the numerical integration of first and second order time dependent differential equations. In Part 2 we present and discuss results of the accuracy and stability analysis for SS11, SS21, SS31, SS22 and SS32. There is also a detailed comparison of SS22 and the Newmark algorithm.