DocumentCode
779797
Title
Parameterized Finite Difference Schemes for Plates: Stability, the Reduction of Directional Dispersion and Frequency Warping
Author
Bilbao, Stefan ; Savioja, Lauri ; Smith, Julius O.
Author_Institution
Sonic Arts Res. Centre, Queen´´s Univ., Belfast
Volume
15
Issue
4
fYear
2007
fDate
5/1/2007 12:00:00 AM
Firstpage
1488
Lastpage
1495
Abstract
In this paper, a simple family of explicit two-step finite difference methods for solving the classical equation of motion of a thin plate is examined. This family depends on several free parameters, and special attention is paid to the stability properties of these schemes, computational issues, and, in particular, the reduction of directional numerical dispersion. Numerical results, employing frequency warping techniques, are presented
Keywords
architectural acoustics; finite difference methods; stability; directional dispersion reduction; frequency warping; parameterized finite difference schemes; room acoustics; stability properties; thin plate; Acoustic waves; Biomembranes; Dispersion; Finite difference methods; Frequency; Instruments; Music; Numerical stability; Partial differential equations; Reverberation; Directional dispersion; finite difference schemes; frequency-warping; plates; von Neumann analysis;
fLanguage
English
Journal_Title
Audio, Speech, and Language Processing, IEEE Transactions on
Publisher
ieee
ISSN
1558-7916
Type
jour
DOI
10.1109/TASL.2006.889737
Filename
4156183
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