Multidimensional transform: Difference between revisions

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/* Application to weakly nonlinear circuit simulation{{Cite book|chapter-url = http://ieeexplore.ieee.org/search/searchresult.jsp?newsearch=true&queryText=Weakly%20Nonlinear%20Circuit%20Analysis%20Based%20on%20Fast%20Multidimensional%20Inverse%20Laplace%20Transform|chapter = Weakly Nonlinear Circuit Analysis Based on Fast Multidimensional Inverse Laplace Transform|last = Wang|first = Tingting|date = 2012|pages = 547–552|doi = 10.1109/ASPDAC.2012.6165013|isbn = 978-1-4673-0772-7|title = 17th A...
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The inverse multidimensional Laplace transform can be applied to simulate nonlinear circuits. This is done so by formulating a circuit as a state-space and expanding the Inverse Laplace Transform based on [[Laguerre function]] expansion.
 
The LagurreLaguerre method can be used to simulate a weakly nonlinear circuit and the Laguerre method can invert a multidimensional Laplace transform efficiently with a high accuracy.
 
It is observed that a high accuracy and significant speedup can be achieved for simulating large nonlinear circuits using multidimensional Laplace transforms.