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  • NUMERICAL ANALYSIS  (2)
  • Quasi-interpolation formulae  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Quasi-interpolants from spline interpolation operators (1990)
    Springer
    Constructive approximation 6 (1990), S. 97-110 
    Details
    ISSN: 1432-0940
    Keywords: Toeplitz matrix ; Quasi-interpolation formulae ; Poisson summation formula ; Primary 41A15 ; Secondary 41A05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract For bi-infinite Toeplitz matrices, it is easy to see that thekth partial sum of the Neumann series reproduces polynomials of orderk There is no guarantee, however, that the spectral radius is less than 1. A principal result of this paper is to show that for the spline interpolation Toeplitz case the spectral radius is less than 1 whenA is invertible and the main diagonal is the central diagonal. This is not true for all totally positive Toeplitz matrices as shown by an example in Section 2.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01891410
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    Paper (German National Licenses)
    Fulltext
  • 2
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    On the grid generation methods in harmonic mapping on plane and curved surfaces (1984)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: Harmonic grid generation methods for multiply connected plane regions and regions on curved surfaces are discussed. In particular, using a general formulation on an analytic Riemannian manifold, it is proved that these mappings are globally one-to-one and onto.
    Keywords: NUMERICAL ANALYSIS
    Type: NASA-CR-172331 , ICASE-84-12 , NAS 1.26:172331
    Format: application/pdf
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    NASA TECHNICAL REPORTS
  • 3
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    A simplified package for calculating with splines (1974)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: This package is designed to solve some of the elementary problems of spline interpretation and least squares fit. The subroutines fall into three basic categories. The first category involves computations with a given spline and/or knot sequence; the second category involves routines which calculate the coefficients of splines which perform a certain task (such as interpolation or least squares fit); and the last category is a banded equation solver for specific linear equations.
    Keywords: NUMERICAL ANALYSIS
    Type: NASA-CR-141623
    Format: application/pdf
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    NASA TECHNICAL REPORTS
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