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- W3044210368 abstract "Abstract The numerical simulation of transport equation tends to be very difficult and its computational cost becomes elevated as the mesh is refined. Over the years many researchers from different centers have developed several distinct techniques. Some papers suggest that the Nystrom method applied to the integral formulation is as effective as more traditional methods when combined with analytical and computational refinements. In recent works, high quality numerical results with relatively low computational times are obtained with this method for different classes of two-dimensional problems of neutron transport in X-Y geometry. Following this direction, in the present research, axisymmetric transport problems in cylindrical geometries are solved from the mathematical analysis involved, using tools such as elliptic integrals and their properties. Accurate numerical results were provided, with at least five correct significant digits, showing that the Nystrom method can be an efficient tool in solving problems with curved geometries." @default.
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- W3044210368 date "2020-12-01" @default.
- W3044210368 modified "2023-10-16" @default.
- W3044210368 title "Nyström method applied to the transport equation in an axisymmetric cylinder" @default.
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- W3044210368 doi "https://doi.org/10.1016/j.anucene.2020.107701" @default.
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