메뉴 건너뛰기




Volumn 90, Issue 2, 1998, Pages 117-134

Approximation order of bivariate spline interpolation for arbitrary smoothness

Author keywords

Bivariate splines; Interpolation method; Optimal approximation order

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; SET THEORY; THEOREM PROVING;

EID: 0032047731     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00004-1     Document Type: Article
Times cited : (21)

References (15)
  • 1
    • 0000141069 scopus 로고
    • Approximation power of smooth bivariate pp functions
    • [1] C. de Boor, K. Höllig, Approximation power of smooth bivariate pp functions, Math. Z. 197 (1988) 343-363.
    • (1988) Math. Z. , vol.197 , pp. 343-363
    • De Boor, C.1    Höllig, K.2
  • 2
    • 0011613235 scopus 로고
    • A sharp upper bound on the approximation order of smooth bivariate pp functions
    • [2] C. de Boor, Q. Jia, A sharp upper bound on the approximation order of smooth bivariate pp functions, J. Approx. Theory 72 (1993) 24-33.
    • (1993) J. Approx. Theory , vol.72 , pp. 24-33
    • De Boor, C.1    Jia, Q.2
  • 3
    • 0003159208 scopus 로고
    • 1 quadratic bivariate spline interpolation
    • L. Collatz, G. Meinardus, G. Nürnberger, (Eds.), ISNM 81, Birkhäuser, Basel
    • 1 quadratic bivariate spline interpolation, in: L. Collatz, G. Meinardus, G. Nürnberger, (Eds.), Numerical Methods of Approximation Theory, ISNM 81, Birkhäuser, Basel, 1987, pp. 30-43.
    • (1987) Numerical Methods of Approximation Theory , pp. 30-43
    • Chui, C.K.1    He, T.X.2
  • 4
    • 0001663185 scopus 로고
    • Stability of optimal-order approximation by bivariate splines over arbitrary triangulations
    • [4] C.K. Chui, D. Hong, Q. Jia, Stability of optimal-order approximation by bivariate splines over arbitrary triangulations, Trans. Amer. Math. Soc. 347 (1995) 3301-3318.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 3301-3318
    • Chui, C.K.1    Hong, D.2    Jia, Q.3
  • 5
    • 0000161210 scopus 로고
    • 1 cubic splines on a nonuniform type-2 triangulation of a rectangular domain
    • 1 cubic splines on a nonuniform type-2 triangulation of a rectangular domain, C.R. Acad. Sci. Paris Sér. I Math 314 (1992) 413-418.
    • (1992) C.R. Acad. Sci. Paris Sér. I Math , vol.314 , pp. 413-418
    • Jeeawock-Zedek, F.1
  • 6
    • 0039926214 scopus 로고
    • Hermite and lagrange interpolation by quadratic splines on non-uniform criss-cross triangulations
    • P.J. Laurent et al. (Eds.), Wellesley, MA
    • [6] F. Jeeawock-Zedek, P. Sablonnière, Hermite and Lagrange interpolation by quadratic splines on non-uniform criss-cross triangulations, in: P.J. Laurent et al. (Eds.), Wavelets, Images and Surface Fitting, Wellesley, MA, 1994, pp. 445-452.
    • (1994) Wavelets, Images and Surface Fitting , pp. 445-452
    • Jeeawock-Zedek, F.1    Sablonnière, P.2
  • 9
    • 0030295901 scopus 로고    scopus 로고
    • Approximation order of bivariate spline interpolation
    • [9] G. Nürnberger, Approximation order of bivariate spline interpolation, J. Approx. Theory 78 (2) (1996) 117-136.
    • (1996) J. Approx. Theory , vol.78 , Issue.2 , pp. 117-136
    • Nürnberger, G.1
  • 10
    • 0001805405 scopus 로고
    • Lagrange and hermite interpolation by bivariate splines
    • [10] G. Nürnberger, Th. Riessinger, Lagrange and Hermite interpolation by bivariate splines, Numer. Funct. Anal. Optim. 13 (1992) 75-96.
    • (1992) Numer. Funct. Anal. Optim. , vol.13 , pp. 75-96
    • Nürnberger, G.1    Riessinger, Th.2
  • 11
    • 21844490083 scopus 로고
    • Bivariate spline interpolation at grid points
    • [11] G. Nürnberger, Th. Riessinger, Bivariate spline interpolation at grid points, Numer. Math. 71 (1995) 91-119.
    • (1995) Numer. Math. , vol.71 , pp. 91-119
    • Nürnberger, G.1    Riessinger, Th.2
  • 12
    • 0039835568 scopus 로고    scopus 로고
    • Error analysis in bivariate spline interpolation
    • to appear
    • [12] G. Nürnberger, G. Walz, Error analysis in bivariate spline interpolation, IMA J. Numer. Anal. 1998, to appear.
    • (1998) IMA J. Numer. Anal.
    • Nürnberger, G.1    Walz, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.