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These Sinc points are defined by a conformal map and when mixed with the polynomial interpolation, it yields an accurate approximation. The first step to solve SPDE is to use stochastic Galerkin method in conjunction with polynomial chaos, which implies a system of deterministic partial differential equations to be solved. The main difficulty is the higher dimensionality of the resulting system of partial differential equations. The idea here is to solve this system using a small number of collocation points in space. This collocation technique is called Poly-Sinc and is used for the first time to solve high-dimensional systems of partial differential equations. Two examples are presented, mainly using Legendre polynomials for stochastic variables. These examples illustrate that we require to sample at few points to get a representation of a model that is sufficiently accurate.<\/jats:p>","DOI":"10.1007\/s10915-021-01498-9","type":"journal-article","created":{"date-parts":[[2021,4,30]],"date-time":"2021-04-30T12:03:14Z","timestamp":1619784194000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Poly-Sinc Solution of Stochastic Elliptic Differential Equations"],"prefix":"10.1007","volume":"87","author":[{"given":"Maha","family":"Youssef","sequence":"first","affiliation":[]},{"given":"Roland","family":"Pulch","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,4,30]]},"reference":[{"key":"1498_CR1","volume-title":"The Geometry of Random Fields","author":"RJ Adler","year":"1981","unstructured":"Adler, R.J.: The Geometry of Random Fields. 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