대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제16권1호
  • /
  • Pages.153-161
  • /
  • 2001
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

EXPONENTIAL DECAY OF $C^1$ LAGRANGE POLYNOMIAL SPLINES WITH RESPECT TO THE LOCAL CHEBYSHEV-GAUSS POINTS

  • 발행 : 2001.01.01
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초록

In the course of working on the preconditioning $C^1$ polynomial spline collocation method, one has to deal with the exponential decay of $C^1$ Lagrange polynomial splines. In this paper we show the exponential decay of $C^1$ Lagrange polynomial splines using the Chebyshev-Gauss points as the local data points.

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참고문헌

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  2. Spline tool box for use with Matlab
  3. Spectral Methods in Fluid Dynamics C. Canuto;M. Y. Hussaini;A. Quarteroni;T. A. Zand
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  5. Numer. Math. v.72 Preconditioning cubic spline collocation discretizations of elliptic equations S. D. Kim;S. V. Parter
  6. Houston J. Math. v.24 no.1 On the Exponential decay of C¹-cubic Lagrange splines on non-uniform meshes and for non-uniform data points S. D. Kim;B. C. Shin
  7. Preconditioning C¹-Lagrange Polynomial Spline Collocation Method of Elliptic Equations, submitted
  8. Trans. Amer. Math. Soc. v.74 On Polya frequency functions, Ⅲ: The Positivity of Translation Determinants with Application to The Interpolation Problem by Spline Curves J. Schoenberg;A. Whitney