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. (http://dx.doi.org/10.1137/S0036142902414542)

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.

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• Item metadata

  Item type:	Article
  ID code:	2192
  Dates:	Date Event 2004 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Strathprints Administrator
  Date deposited:	06 Jan 2007
  Last modified:	08 Apr 2024 15:31
  URI:	https://strathprints.strath.ac.uk/id/eprint/2192