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Volumn 99, Issue 2, 1999, Pages 344-368

Peano Kernel Error Analysis for Quadratic Nodal Spline Interpolation

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EID: 0039803008     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1999.3337     Document Type: Article
Times cited : (6)

References (12)
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    • Chui, C.K.1    De Villiers, J.M.2
  • 2
    • 0032022833 scopus 로고    scopus 로고
    • Convergence of rules based on nodal splines for the numerical evaluation of certain 2D Cauchy principal value integrals
    • Dagnino C., Perotto S., Santi E. Convergence of rules based on nodal splines for the numerical evaluation of certain 2D Cauchy principal value integrals. J. Comp. Appl. Math. 89:1998;225-235.
    • (1998) J. Comp. Appl. Math. , vol.89 , pp. 225-235
    • Dagnino, C.1    Perotto, S.2    Santi, E.3
  • 3
    • 0038896008 scopus 로고
    • Compactly supported functions for spine interpolation
    • Dahmen W., Goodman T. N. T., Micchelli C. A. Compactly supported functions for spine interpolation. Numer. Math. 52:1988;639-664.
    • (1988) Numer. Math. , vol.52 , pp. 639-664
    • Dahmen, W.1    Goodman, T.N.T.2    Micchelli, C.A.3
  • 4
    • 0040655325 scopus 로고    scopus 로고
    • Convergence of derivatives of optimal nodal splines
    • Demichelis V. Convergence of derivatives of optimal nodal splines. J. Approx. Theory. 88:1997;370-383.
    • (1997) J. Approx. Theory , vol.88 , pp. 370-383
    • Demichelis, V.1
  • 6
    • 0039488793 scopus 로고
    • A nodal spline generalization of the Lagrange interpolant
    • P. Nevai, & A. Pinkus. San Diego: Academic Press
    • de Villiers J. M., Rohwer C. H. A nodal spline generalization of the Lagrange interpolant. Nevai P., Pinkus A. Progress in Approximation Theory. 1991;201-211 Academic Press, San Diego.
    • (1991) Progress in Approximation Theory , pp. 201-211
    • De Villiers, J.M.1    Rohwer, C.H.2
  • 7
    • 38248998753 scopus 로고
    • A convergence result in nodal spline interpolation
    • de Villiers J. M. A convergence result in nodal spline interpolation. J. Approx. Theory. 74:1993;266-279.
    • (1993) J. Approx. Theory , vol.74 , pp. 266-279
    • De Villiers, J.M.1
  • 8
    • 21344487386 scopus 로고
    • A nodal spline interpolant for the Gregory rule of even order
    • de Villiers J. M. A nodal spline interpolant for the Gregory rule of even order. Numer. Math. 66:1993;123-137.
    • (1993) Numer. Math. , vol.66 , pp. 123-137
    • De Villiers, J.M.1
  • 9
    • 0346235536 scopus 로고
    • Sharp bounds for the Lebesgue constant in quadratic nodal spline interpolation
    • R. V. M. Zahar. Basel: Birkhäuser
    • de Villiers J. M., Rohwer C. H. Sharp bounds for the Lebesgue constant in quadratic nodal spline interpolation. Zahar R. V. M. Approximation and Computation. Internat. Ser. Numer. Math. 119:1994;157-167 Birkhäuser, Basel.
    • (1994) Approximation and Computation. Internat. Ser. Numer. Math. , vol.119 , pp. 157-167
    • De Villiers, J.M.1    Rohwer, C.H.2
  • 10
    • 0038896009 scopus 로고
    • Product integration of singular integrals using optimal nodal splines
    • Rabinowitz P. Product integration of singular integrals using optimal nodal splines. Rend. Sem. Mat. Univ. Politec. Torino. 51:1993;1-9.
    • (1993) Rend. Sem. Mat. Univ. Politec. Torino , vol.51 , pp. 1-9
    • Rabinowitz, P.1
  • 11
    • 0004951386 scopus 로고
    • Application of approximating splines for the solution of Cauchy singular integral equations
    • Rabinowitz P. Application of approximating splines for the solution of Cauchy singular integral equations. Appl. Numer. Math. 15:1994;285-297.
    • (1994) Appl. Numer. Math. , vol.15 , pp. 285-297
    • Rabinowitz, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.