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F. Pfeifle, and R. Bader, "Real-Time Finite-Difference Method Physical Modeling of Musical Instruments Using Field-Programmable Gate Array Hardware," J. Audio Eng. Soc., vol. 63, no. 12, pp. 1001-1016, (2015 December.). doi: https://doi.org/10.17743/jaes.2015.0089 F. Pfeifle, and R. Bader, "Real-Time Finite-Difference Method Physical Modeling of Musical Instruments Using Field-Programmable Gate Array Hardware," J. Audio Eng. Soc., vol. 63 Issue 12 pp. 1001-1016, (2015 December.). doi: https://doi.org/10.17743/jaes.2015.0089
Abstract: A real-time simulation of physical models of musical instruments has applications in a variety of situations where a proposed physical change needs to be instantly auralized. The compactness and computational power of Field Programmable Gate Arrays make it possible to implement Finite Difference methods in the simulation. These methods are based on a discrete representation in both the spatial and time domains of the partial differential equations that represent the physical behavior of the instrument. However unlike large computer simulations, the real-time requirement necessitates special ways of representing the simulation. The authors illustrate this approach using a string-excitation model of a North American five-string banjo, which includes five strings, a membrane, and air cavity. Three examples show how real-time models can be used by musicians in a live-music setting, researchers exploring instrument acoustics, and instrument builders in the process of making design decisions.

@article{pfeifle2016real-time,
author={pfeifle, florian and bader, rolf},
journal={journal of the audio engineering society},
title={real-time finite-difference method physical modeling of musical instruments using field-programmable gate array hardware},
year={2016},
volume={63},
number={12},
pages={1001-1016},
doi={https://doi.org/10.17743/jaes.2015.0089},
month={december},} @article{pfeifle2016real-time,
author={pfeifle, florian and bader, rolf},
journal={journal of the audio engineering society},
title={real-time finite-difference method physical modeling of musical instruments using field-programmable gate array hardware},
year={2016},
volume={63},
number={12},
pages={1001-1016},
doi={https://doi.org/10.17743/jaes.2015.0089},
month={december},
abstract={a real-time simulation of physical models of musical instruments has applications in a variety of situations where a proposed physical change needs to be instantly auralized. the compactness and computational power of field programmable gate arrays make it possible to implement finite difference methods in the simulation. these methods are based on a discrete representation in both the spatial and time domains of the partial differential equations that represent the physical behavior of the instrument. however unlike large computer simulations, the real-time requirement necessitates special ways of representing the simulation. the authors illustrate this approach using a string-excitation model of a north american five-string banjo, which includes five strings, a membrane, and air cavity. three examples show how real-time models can be used by musicians in a live-music setting, researchers exploring instrument acoustics, and instrument builders in the process of making design decisions.},}

TY - paper
TI - Real-Time Finite-Difference Method Physical Modeling of Musical Instruments Using Field-Programmable Gate Array Hardware
SP - 1001 EP - 1016
AU - Pfeifle, Florian
AU - Bader, Rolf
PY - 2016
JO - Journal of the Audio Engineering Society
IS - 12
VO - 63
VL - 63
Y1 - December 2015 TY - paper
TI - Real-Time Finite-Difference Method Physical Modeling of Musical Instruments Using Field-Programmable Gate Array Hardware
SP - 1001 EP - 1016
AU - Pfeifle, Florian
AU - Bader, Rolf
PY - 2016
JO - Journal of the Audio Engineering Society
IS - 12
VO - 63
VL - 63
Y1 - December 2015
AB - A real-time simulation of physical models of musical instruments has applications in a variety of situations where a proposed physical change needs to be instantly auralized. The compactness and computational power of Field Programmable Gate Arrays make it possible to implement Finite Difference methods in the simulation. These methods are based on a discrete representation in both the spatial and time domains of the partial differential equations that represent the physical behavior of the instrument. However unlike large computer simulations, the real-time requirement necessitates special ways of representing the simulation. The authors illustrate this approach using a string-excitation model of a North American five-string banjo, which includes five strings, a membrane, and air cavity. Three examples show how real-time models can be used by musicians in a live-music setting, researchers exploring instrument acoustics, and instrument builders in the process of making design decisions.