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

Stefan Bilbao; Lauri Savioja; Julius O. Smith

doi:10.1109/TASL.2006.889737

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

Stefan Bilbao, Lauri Savioja, Julius O. Smith

Research output: Contribution to journal › Article › Scientific › peer-review

6 Citations (Scopus)

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

Original language	English
Pages (from-to)	1488-1495
Number of pages	8
Journal	IEEE Transactions on Audio, Speech, and Language Processing
Volume	15
Issue number	4
DOIs	https://doi.org/10.1109/TASL.2006.889737
Publication status	Published - May 2007
MoE publication type	A1 Journal article-refereed

Keywords

Directional dispersion
Finite difference schemes
Frequency-warping
Plates
Von Neumann analysis

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10.1109/TASL.2006.889737

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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",

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AB - 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

KW - Directional dispersion

KW - Finite difference schemes

KW - Frequency-warping

KW - Plates

KW - Von Neumann analysis

UR - https://www.scopus.com/pages/publications/64149087953

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DO - 10.1109/TASL.2006.889737

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JO - IEEE Transactions on Audio, Speech, and Language Processing

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ER -

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

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Keywords

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