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On some unconditionally stable, higher order methods for the numerical solution of the structural dynamics equations
Author(s) -
Dougalis Vassilios A.,
Serbin Steven M.
Publication year - 1982
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.1620181104
Subject(s) - dynamics (music) , mathematics , runge–kutta methods , order (exchange) , exponential function , third order , numerical analysis , mathematical analysis , physics , philosophy , theology , finance , acoustics , economics
Third‐ and fourth‐order accurate Nørsett rational approximations to the exponential and associated semi‐implicit Runge–Kutta methods are used for the construction of efficient, accurate and unconditionally stable schemes for the direct numerical integration of the linear, nonhomogeneous, second‐order equations of structural dynamics.