On the accuracy of pseudospectral differentiation


For various grids on a finite interval we measure the accurarcy of pseudospectral (collocation) differentiation matrices using two parameters. The first one is the rank defficiency of the differentation matrices. The second one quantifies the extent at which such matrices transform a constant vector into the null vector.


C.I. Gheorghiu
Tiberiu Popoviciu Institute of Numerical Analysis


pseudospectral differentiation; Chebyshev-Gauss-Lobatto grid; Legendre grid; equidistant grid; accuracy; floating-point arithmetic


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C.I. Gheorghiu,  On the accuracy of pseudospectral differentiation, ROMAI J., 10 (2014) no. 1, pp. 55-62.


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