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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 [357,556]. 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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``Physical Audio Signal Processing'', by Julius O. Smith III, W3K Publishing, 2010, ISBN 978-0-9745607-2-4.
Copyright © 2014-06-11 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA