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Bibliography

1
M. J. Beeson and D. T. Murphy, ``RoomWeaver: A digital waveguide mesh based room acoustics research tool,'' in Proceedings of the Conference on Digital Audio Effects (DAFx-04), Naples, Italy, Oct. 2004.

2
J. Bensa, S. Bilbao, R. Kronland-Martinet, and J. O. Smith, ``The simulation of piano string vibration: from physical models to finite difference schemes and digital waveguides,'' Journal of the Acoustical Society of America, vol. 114(2), pp. 1095-1107, 2003.

3
S. Bilbao, Wave and Scattering Methods for the Numerical Integration of Partial Differential Equations,
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4
A. Chaigne, ``On the use of finite differences for musical synthesis. application to plucked stringed instruments,'' Journal d'Acoustique, vol. 5, no. 2, pp. 181-211, 1992.

5
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7
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8
C. Erkut and M. Karjalainen, ``Virtual strings based on a 1-D FDTD waveguide model,'' Proceedings of the Audio Engineering Society 22nd International Conference, Espoo, Finland, pp. 317-323, June 15-17, 2002,
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9
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10
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11
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12
M. Karjalainen, ``1-D digital waveguide modeling for improved sound synthesis,'' in Proceedings of the International Conference on Acoustics, Speech, and Signal Processing, Orlando, Florida, USA, vol. 2, (New York), pp. 1869-1872, IEEE Press, May 2002.

13
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14
M. Karjalainen, ``Time-domain physical modeling and real-time synthesis using mixed modeling paradigms,'' in Proceedings of the Stockholm Musical Acoustics Conference (SMAC-03), http: //www.speech.kth.se/smac03/, (Stockholm), pp. 393-396, Royal Swedish Academy of Music, Aug. 2003.

15
M. Karjalainen and C. Erkut, ``Digital waveguides vs. finite difference schemes: Equivalance and mixed modeling,'' EURASIP Journal on Applied Signal Processing, vol. 2004, pp. 978-989, June 15, 2004.

16
A. Krishnaswamy and J. O. Smith, ``Methods for simulating string collisions with rigid spatial objects,'' in Proceedings of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, New Paltz, NY, (New York), IEEE Press, Oct. 2003.

17
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18
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19
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20
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21
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22
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23
P. M. Ruiz, A Technique for Simulating the Vibrations of Strings with a Digital Computer,
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24
J. O. Smith, ``Music applications of digital waveguides,'' Tech. Rep. STAN-M-39, CCRMA, Music Department, Stanford University, 1987,
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25
J. O. Smith, ``Physical modeling using digital waveguides,'' Computer Music Journal, vol. 16, pp. 74-91, Winter 1992,
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26
J. O. Smith, ``Principles of digital waveguide models of musical instruments,'' in Applications of Digital Signal Processing to Audio and Acoustics (M. Kahrs and K. Brandenburg, eds.), pp. 417-466, Boston/Dordrecht/London: Kluwer Academic Publishers, 1998.

27
J. O. Smith, Mathematics of the Discrete Fourier Transform (DFT),
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28
J. O. Smith, Introduction to Digital Filters,
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29
J. O. Smith, Physical Audio Signal Processing: Digital Waveguide Modeling of Musical Instruments and Audio Effects,
http: //ccrma.stanford.edu/~jos/pasp/, December 2005.

30
J. C. Strikwerda, Finite Difference Schemes and Partial Differential Equations,
Pacific Grove, CA: Wadsworth and Brooks, 1989.

31
S. A. Van Duyne and J. O. Smith, ``Physical modeling with the 2-D digital waveguide mesh,'' in Proceedings of the 1993 International Computer Music Conference, Tokyo, pp. 40-47, Computer Music Association, 1993,
http: //ccrma.stanford.edu/~jos/pdf/mesh.pdf.


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Download wgfdtd.pdf

``On the Equivalence of the Digital Waveguide and Finite Difference Time Domain Schemes'', by Julius O. Smith III, version published at http://arXiv.org/abs/physics/0407032 (in PDF and PostScript formats only).
Copyright © 2005-12-28 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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