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# On the norms of inverses of pseudospectral differentiation matrices

Sloan, D.M. (2004) On the norms of inverses of pseudospectral differentiation matrices. SIAM Journal on Numerical Analysis, 42 (1). pp. 30-48. ISSN 00361429

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## Abstract

In this paper we give integral expressions for the elements of the inverses of second-order pseudospectral differentiation matrices. Simple upper bounds are given for the maximum norms of these inverse matrices when Chebyshev collocation points are used. Comment is made on the failure to obtain upper bounds that are uniform in the number of collocation points when the points are evenly spaced. We also give integral expressions for inverses of first-order Chebyshev pseudospectral differentiation matrices.

Item type: Article 2192 pseudospectral, differentiation matrices, Chebyshev, Mathematics Science > Mathematics Faculty of Science > Mathematics and Statistics Strathprints Administrator 06 Jan 2007 12 Mar 2012 10:37 http://strathprints.strath.ac.uk/id/eprint/2192