Semi-Implicit Backward Euler
The semi-implicit backward Euler method is defined by [555]
![$\displaystyle \underline{\hat{x}}(n) \isdefs \underline{\hat{x}}(n-1) + T\, \frac{f[n,\underline{\hat{x}}(n-1)]}{1-T\,\ddot{\underline{\hat{x}}}(n-1)} \protect$](http://www.dsprelated.com/josimages_new/pasp/img1725.png)
where
denotes an estimate of the second time
derivative
.
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Semi-Implicit Methods
denotes an estimate of the second time
derivative
.
