Accession Number : ADA295013
Title : Spectral Methods on Arbitrary Grids.
Descriptive Note : Contractor rept.,
Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA
Personal Author(s) : Carpenter, Mark H. ; Gottlieb, David
PDF Url : ADA295013
Report Date : MAY 1995
Pagination or Media Count : 30
Abstract : Stable and spectrally accurate numerical methods are constructed on arbitrary grids for partial differential equations. These new methods are equivalent to conventional spectral methods but do not rely on specific grid distributions. Specifically we show how to implement Legendre Galerkin, Legendre collocation and Laguerre Galerkin methodology on arbitrary grids. (AN)
Descriptors : *MATHEMATICAL MODELS, *GRIDS, *NUMERICAL METHODS AND PROCEDURES, STABILITY, MATRICES(MATHEMATICS), ACCURACY, POLYNOMIALS, INTERPOLATION, PARTIAL DIFFERENTIAL EQUATIONS, CONVERGENCE, CHEBYSHEV APPROXIMATIONS, LAGRANGIAN FUNCTIONS, LEGENDRE FUNCTIONS, NUMERICAL QUADRATURE, LAGUERRE FUNCTIONS.
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE