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== Multidimensional Laplace transform ==
The multidimensional Laplace transform is useful for the solution of boundary value problems. Boundary value problems in two or more variables characterized by partial differential equations can be solved by a direct use of the Laplace transform.<ref name=":0">{{Cite journal|title = Theorems on multidimensional laplace transform for solution of boundary value problems|journal = Computers & Mathematics with Applications|date = 1989-01-01|pages = 1033–1056|volume = 18|issue = 12|doi = 10.1016/0898-1221(89)90031-X|
<math> F(s_1,s_2,\ldots,s_n) = \int_{0}^{\infty} \cdots \int_{0}^{\infty}
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museums without affecting their daily use. But this method doesn’t allow a quantitative measure of the corrosion rate.
=== Application to weakly nonlinear circuit simulation<ref>{{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 Asia and South Pacific Design Automation Conference| s2cid=15427178 }}</ref> ===
[[File:A weakly circuit.PNG|thumb|330x330px|An example of a weakly nonlinear circuit]]
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.
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