Geodesic
Toward the sinc-Galerkin method for the Poisson problem in one type of curvilinear coordinate domain
Electronic transactions on numerical analysis, Tome 23 (2006), pp. 63-75
This paper introduces the Sinc-Galerkin method for the Poisson problem in one type of curvilinear coordinate domain and shows an example of the numerical results. The method proposed in this paper transforms the domain of the Poisson problem designated by the curvilinear coordinates into a square domain. In this process, Poisson's equation is transformed into a more general two-variable second-order linear partial differential equation.
Classification : 65N99
Keywords: sinc-Galerkin method, sinc methods, Poisson problem, differential equations 
@article{ETNA_2006__23__a15,
     author = {Yamamoto,  Toshihiro},
     title = {Toward the {sinc-Galerkin} method for the {Poisson} problem in one type of curvilinear coordinate domain},
     journal = {Electronic transactions on numerical analysis},
     pages = {63--75},
     year = {2006},
     volume = {23},
     zbl = {1112.65124},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__23__a15/}
}
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%J Electronic transactions on numerical analysis
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Yamamoto,  Toshihiro. Toward the sinc-Galerkin method for the Poisson problem in one type of curvilinear coordinate domain. Electronic transactions on numerical analysis, Tome 23 (2006), pp. 63-75. http://geodesic.mathdoc.fr/item/ETNA_2006__23__a15/