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.
Tiberiu Popoviciu Institute of Numerical Analysis
pseudospectral differentiation; Chebyshev-Gauss-Lobatto grid; Legendre grid; equidistant grid; accuracy; floating-point arithmetic
See the expanding block below.
C.I. Gheorghiu, On the accuracy of pseudospectral differentiation, ROMAI J., 10 (2014) no. 1, pp. 55-62.
Paper in html format
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