On the accuracy of pseudospectral differentiation

Abstract

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.

Authors

C.I. Gheorghiu
Tiberiu Popoviciu Institute of Numerical Analysis

Keywords

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

References

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Paper coordinates

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

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About this paper

Journal

ROMAI J.

Publisher Name
Paper on journal website
Print ISSN

2065-7714

Online ISSN

1841-5512

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