A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Variable step Rosenbrock algorithm for transient response of damped structures
Tekijät: Robert Piché, Paavo Nevalainen
Kustantaja: SAGE publoicatins
Kustannuspaikka: Newbury Park, California
Julkaisuvuosi: 1999
Vuosikerta: 358
Aloitussivu: 191
Lopetussivu: 198
Verkko-osoite: https://www.researchgate.net/publication/245387120_Variable_step_Rosenbrock_algorithm_for_transient_response_of_damped_structures#fullTextFileContent
Rinnakkaistallenteen osoite: https://journals.sagepub.com/doi/abs/10.1243/0954406991522266
A Rosenbrock algorithm with varying time step is adapted for transient analysis of damped
second-order differential equations. The time step adjustment is based on an embedded local truncation error estimation formula. An interpolation formula can be used for intermediate output. The
stepping formula is L-stable and the error estimation formula is bounded for large time steps. The
Rosenbrock algorithm is compared with the Thomas–Gladwell STEP34 algorithm, which is found
to be only conditionally stable. Numerical results are given for two linear examples: a stiff, linear,
two-degree-of-freedom system and a non-proportionally damped plate.
