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- W1569510894 abstract "A. S. FOKAS AND J. LENELLSAbstract. The Uni ed Transform provides a novel method for analyzing bound-ary value problems for linear and for integrable nonlinear PDEs. The numericalimplementation of this method to linear elliptic PDEs formulated in the interiorof a polygon has been investigated by several authors (see the article by Iserles,Smitheman, and one of the authors in this book). Here, we show that the Uni edTransform also yields a novel numerical technique for computing the solution oflinear elliptic PDEs in the exterior of a polygon. One of the advantages of this newtechnique is that it actually yields directly the scattering amplitude. Details arepresented for the modi ed Helmholtz equation in the exterior of a square." @default.
- W1569510894 created "2016-06-24" @default.
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- W1569510894 date "2014-01-11" @default.
- W1569510894 modified "2023-09-27" @default.
- W1569510894 title "THE UNIFIED TRANSFORM FOR THE MODIFIED HELMHOLTZ EQUATION IN THE EXTERIOR OF A SQUARE" @default.
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