| Presentation | 2006-07-14 Numerical Simulation Errors of Phisical Models for Musical Sound Generation Yoshimitsu TAKASAWA, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The partial frequencies of the transverse vibrations of a string which has stiffness form an inharmonic series. For musical synthesis, the equations of a physical model are to be simulated in time domain by numerical methods. The most straightforward approach can be said to be the finite difference method. The equations are formulated in discrete form. In the finite difference method, there are two problems to be taken into account. The first is the numerical stability. The second is the numerical dispersion. It has been shown that some undesirable dispersive effects may be present in the solution if a finite difference scheme is used. Here, we present two accurate formulee of this numerical dispersion and discuss on the error size of the difference method. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | music sound generation / physical model / discretization / finite difference method / numerical dispersion / inharmonisity |
| Paper # | EA2006-31 |
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| Conference Information | |
| Committee | EA |
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| Conference Date | 2006/7/7(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Vice Chair | |
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| Paper Information | |
| Registration To | Engineering Acoustics (EA) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Numerical Simulation Errors of Phisical Models for Musical Sound Generation |
| Sub Title (in English) | |
| Keyword(1) | music sound generation |
| Keyword(2) | physical model |
| Keyword(3) | discretization |
| Keyword(4) | finite difference method |
| Keyword(5) | numerical dispersion |
| Keyword(6) | inharmonisity |
| 1st Author's Name | Yoshimitsu TAKASAWA |
| 1st Author's Affiliation | Dept. of Information and Communication Engineering, Univ. of Electro-Communications() |
| Date | 2006-07-14 |
| Paper # | EA2006-31 |
| Volume (vol) | vol.106 |
| Number (no) | 160 |
| Page | pp.pp.- |
| #Pages | 4 |
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