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Physical Audio Signal Processing
Lumped Models
More General Finite-Difference Methods
Semi-Implicit Trapezoidal Rule
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Semi-Implicit Trapezoidal Rule
The semi-implicit trapezoidal rule method is given by [555]
![$\displaystyle \underline{\hat{x}}(n) \isdefs \underline{\hat{x}}(n-1) + \frac{T...
...rline{\hat{x}}(n-1)]}{1-\frac{T}{2}\,\ddot{\underline{\hat{x}}}(n-1)}. \protect$](http://www.dsprelated.com/josimages_new/pasp/img1728.png)
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Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.
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