Adaptive numerical methods with arbitrary fixed samplings

    Authors

    A. Rahrooh;B. S. Motlagh

    Comments

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    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

    WOS:000084813800002

    ISSN

    1077-5463

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