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Volumn 9, Issue 3-4, 1998, Pages 251-279

On the approximation power of bivariate splines

Author keywords

Approximation order by splines; Bivariate splines; Stable approximation schemes; Super splines

Indexed keywords


EID: 0009616148     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1018958011262     Document Type: Article
Times cited : (75)

References (15)
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  • 2
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    • (1996) SIAM J. Math. Anal. , vol.27 , pp. 1482-1501
    • Alfeld, P.1    Neamtu, M.2    Schumaker, L.L.3
  • 3
    • 0000522347 scopus 로고
    • The dimension of bivariate spline spaces of smoothness r for degree d ≥ 4r + 1
    • P. Alfeld and L.L. Schumaker, The dimension of bivariate spline spaces of smoothness r for degree d ≥ 4r + 1, Constr. Approx. 3 (1987) 189-197.
    • (1987) Constr. Approx. , vol.3 , pp. 189-197
    • Alfeld, P.1    Schumaker, L.L.2
  • 5
    • 0000141069 scopus 로고
    • Approximation power of smooth bivariate pp functions
    • C. de Boor and 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
  • 7
    • 0001663185 scopus 로고
    • Stability of optimal order approximation by bivariate splines over arbitrary triangulations
    • C.K. Chui, D. Hong and R.-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, R.-Q.3
  • 8
    • 0007157878 scopus 로고
    • On bivariate super vertex splines
    • C.K. Chui and M.J. Lai, On bivariate super vertex splines, Constr. Approx. 6 (1990) 399-419.
    • (1990) Constr. Approx. , vol.6 , pp. 399-419
    • Chui, C.K.1    Lai, M.J.2
  • 9
    • 46149129389 scopus 로고
    • Triangular Bernstein-Bézier patches
    • G. Farin, Triangular Bernstein-Bézier patches, Comput. Aided Geom. Design 3 (1986) 83-127.
    • (1986) Comput. Aided Geom. Design , vol.3 , pp. 83-127
    • Farin, G.1
  • 10
    • 0002547173 scopus 로고
    • Spaces of bivariate spline functions over triangulation
    • D. Hong, Spaces of bivariate spline functions over triangulation, Approx. Theory Appl. 7 (1991) 56-75.
    • (1991) Approx. Theory Appl. , vol.7 , pp. 56-75
    • Hong, D.1
  • 11
    • 0000459863 scopus 로고
    • Super spline spaces of smoothness r and degree d ≥ 3r + 2
    • A. Ibrahim and L.L. Schumaker, Super spline spaces of smoothness r and degree d ≥ 3r + 2, Constr. Approx. 7 (1991) 401-423.
    • (1991) Constr. Approx. , vol.7 , pp. 401-423
    • Ibrahim, A.1    Schumaker, L.L.2
  • 12
    • 0000207787 scopus 로고
    • Approximation order from certain spaces of smooth bivariate splines on a three-direction mesh
    • R.Q. Jia, Approximation order from certain spaces of smooth bivariate splines on a three-direction mesh, Trans. Amer. Math. Soc. 295 (1986) 199-212.
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    • Jia, R.Q.1
  • 14
    • 0001383268 scopus 로고
    • On super splines and finite elements
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    • Schumaker, L.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.