Parameterized Finite Difference Schemes for Plates: Stability, the Reduction of Directional Dispersion and Frequency Warping

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, an...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	IEEE transactions on audio, speech, and language processing speech, and language processing, 2007-05, Vol.15 (4), p.1488-1495
Hauptverfasser:	Bilbao, S., Savioja, L., Smith, J.O.
Format:	Artikel
Sprache:	eng
Schlagworte:	Acoustic waves Applied sciences Biomembranes Directional dispersion Dispersion Dispersions Equations of motion Exact sciences and technology Finite difference method Finite difference methods finite difference schemes Frequency frequency-warping Information, signal and communications theory Instruments Mathematical analysis Miscellaneous Music Numerical stability Partial differential equations plates Reduction Reverberation Signal processing Stability Telecommunications and information theory von Neumann analysis Warpage Warping
Online-Zugang:	Volltext bestellen
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	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
ISSN:	1558-7916 2329-9290 1558-7924 2329-9304
DOI:	10.1109/TASL.2006.889737