Semi-Implicit Methods

A semi-implicit method for numerical integration is based on an implicit method by using only one iteration of Newton's method [354,555]. This effectively converts the implicit method into a corresponding explicit method. Best results are obtained for highly oversampled systems (i.e., $ f_s=1/T$ is larger than typical audio sampling rates).

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Semi-Implicit Backward Euler
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Newton's Method of Nonlinear Minimization