# 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

See the expanding block below.

## Paper coordinates

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

ROMAI J.

2065-7714

1841-5512

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