The simulation of piano string vibration: from physical models to finite difference schemes and digital waveguides.

@article{Bensa2003TheSO,
  title={The simulation of piano string vibration: from physical models to finite difference schemes and digital waveguides.},
  author={J. Bensa and S. Bilbao and R. Kronland-Martinet and J. Smith},
  journal={The Journal of the Acoustical Society of America},
  year={2003},
  volume={114 2},
  pages={
          1095-107
        }
}
A model of transverse piano string vibration, second order in time, which models frequency-dependent loss and dispersion effects is presented here. This model has many desirable properties, in particular that it can be written as a well-posed initial-boundary value problem (permitting stable finite difference schemes) and that it may be directly related to a digital waveguide model, a digital filter-based algorithm which can be used for musical sound synthesis. Techniques for the extraction of… Expand
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