Energy-conserving finite difference schemes for tension-modulated strings

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn 4, Issue , 2004, Pages

  Bilbao, Stefan ^a  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE VIBRATION; DIGITAL WAVEGUIDES; MUSICAL SOUND SYNTHESIS; TENSION-MODULATED STRING;

ACOUSTIC WAVES; ALGORITHMS; BOUNDARY CONDITIONS; COMPUTER SIMULATION; DISPERSIONS; ELASTIC MODULI; FINITE DIFFERENCE METHOD; FOURIER TRANSFORMS; MATHEMATICAL MODELS; MUSICAL INSTRUMENTS; OSCILLATIONS; WAVEGUIDES;

ENERGY CONSERVATION;

EID: 4544366082     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. T Tolonen, V. Välimäki, and M. Karjalainen, "Modeling of tension modulation nonlinearity in plucked strings," IEEE Transactions in Speech and Audio Processing, vol. 8, pp. 300-310, May 2000.
2. C. Erkut, Aspects in Analysis and Model-Based Sound Synthesis of Plucked String Instruments, Ph.D. thesis, Laboratory of Acoustics and Audio Signal Processing, Helsinki University of Technology, 2002.
3. J. O. Smith, "Music applications of digital waveguides," Tech. Rep. STAN-M-39, Center for Computer Research in Music and Acoustics (CCRMA), Department of Music, Stanford University, 1987.
4. G. Kirchhoff, Vorlesungen über Mechanik, Tauber, Leipzig, 1883.
5. G. F. Carrier, "On the nonlinear vibration problem of the elastic string," Quarterly of Applied Mathematics, vol. 3, pp. 157-165, 1945.
6. C. L. Frota, "Non-local solutions of a nonlinear hyperbolic partial differential equation," Portugaliae Mathematica, vol. 51, no. 3, pp. 455-473, 1994.
7. B. Gustaffson, H.-O. Kreiss, and J. Oliger, Time Dependent Problems and Difference Methods, John Wiley and Sons, New York, 1995.
8. J. Strikwerda, Finite Difference Schemes and Partial Differential Equations, Wadsworth and Brooks/Cole Advanced Books and Software, Pacific Grove, Calif., 1989.
9. A. Chaigne and A. Askenfelt, "Numerical simulations of struck strings. I. A physical model for a struck string using finite difference methods," vol. 95, no. 2, pp. 1112-8, Feb. 1994.
10. D. Cheng, Field and Wave Electromagnetics, p. 438, Addison-Wesley, second edition, 1990.
11. K. S. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropie media," vol. 14, pp. 302-7, 1966.
12. A. Taflove, Computational Electrodynamics, Artech House, Boston, Massachusetts, 1995.
13. R. Horn and C. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, England, 1985.