page_title: Multidimensional transform
section_title: Application to weakly nonlinear circuit simulation
hierarchical_section_title: Multidimensional transform / Applications / Application to weakly nonlinear circuit simulation
caption_attribution_description: English: An example of a circuit which could be solved by using multidimensional Laplace transform.
context_page_description: In mathematical analysis and applications, multidimensional transforms are used to analyze the frequency content of signals in a domain of two or more dimensions.
context_section_description: 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 Lagurre 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.
caption: An example of a weakly nonlinear circuit
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