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A hybrid spectral nodal method for multigroup X,Y-geometry discrete ordinates eigenvalue problems
Progress in Nuclear Energy, 2017Abstract A hybrid spectral nodal method is developed for the solution of multigroup discrete ordinates ( S N ) eigenvalue problems with isotropic scattering in X,Y geometry. In this method, the spectral diamond - spectral Green's function ( SD - SGF ) hybrid scheme, originally developed for numerically solving multigroup S N eigenvalue ...
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Abstract This paper deals with the multi-dimensional coupled viscous Burgers’ equations, using the method of lines (MOL). Indeed, the solutions are approximated by their Lagrange interpolation on a set of Jacobi-type nodes. Then, an appropriate differentiation matrix is used to approximate the first and the second partial derivatives ...
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A nodal spectral stiffness matrix for the finite-element method
IMA Journal of Applied Mathematics, 2008In this paper, shape functions are proposed for the spectral finite-element method aiming to finding a nodal spectral stiffness matrix. The proposed shape functions obtain a nearly diagonal ĞD stiffness matrix with better conditioning than using the Lagrange and Jacobi bases.
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