Title
Adaptive numerical methods with arbitrary fixed samplings
Abbreviated Journal Title
J. Vib. Control
Keywords
adaptive linear multistep methods; real-time simulation; stiff systems; stability region; Acoustics; Engineering, Mechanical; Mechanics
Abstract
The weak stability of linear multistep methods for real-time simulation of systems leads to the design of a class of linear multistep methods with varying coefficients. These methods do not suffer from weak instability and are generally very useful, especially for real-time simulation of stiff nonlinear systems. This paper presents an adaptive technique for numerical integration that allows the simulation stepsize to be chosen independently of the system eigenvalues. The method tracks most changes in the dynamics of the system and changes accordingly the integration coefficients to ensure accuracy and stability of the simulation.
Journal Title
Journal of Vibration and Control
Volume
6
Issue/Number
2
Publication Date
1-1-2000
Document Type
Article
Language
English
First Page
189
Last Page
206
WOS Identifier
ISSN
1077-5463
Recommended Citation
"Adaptive numerical methods with arbitrary fixed samplings" (2000). Faculty Bibliography 2000s. 2753.
https://stars.library.ucf.edu/facultybib2000/2753
Comments
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