메뉴 건너뛰기




Volumn 126, Issue 1-2, 2000, Pages 159-183

Interpolation by C1 splines of degree q≥4 on triangulations

Author keywords

[No Author keywords available]

Indexed keywords

INTERPOLATION; POLYNOMIALS; SET THEORY; THEOREM PROVING;

EID: 17444438755     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00350-7     Document Type: Article
Times cited : (12)

References (26)
  • 4
    • 0003159208 scopus 로고
    • ⊥ quadratic bivariate spline interpolation
    • L. Collatz, G. Meinardus, G. Nürnberger (Eds.), ISNM 81, Birkhäuser, Basel
    • ⊥ 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
  • 5
    • 0030371938 scopus 로고    scopus 로고
    • ⊥ quartic spline elements for optimal-order approximation
    • ⊥ quartic spline elements for optimal-order approximation, Math. Comput. 65 (1996) 85-98.
    • (1996) Math. Comput. , vol.65 , pp. 85-98
    • Chui, C.K.1    Hong, D.2
  • 6
    • 0007324146 scopus 로고    scopus 로고
    • Swapping edges of arbitrary triangulations to achieve the optimal order of approximation
    • C.K. Chui, D. Hong, Swapping edges of arbitrary triangulations to achieve the optimal order of approximation, SIAM J. Numer. Anal. 34 (1997) 1472-1482.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 1472-1482
    • Chui, C.K.1    Hong, D.2
  • 7
    • 0041048955 scopus 로고    scopus 로고
    • On almost interpolation
    • O. Davydov, On almost interpolation, J. Approx. Theory 91 (1997) 398-418.
    • (1997) J. Approx. Theory , vol.91 , pp. 398-418
    • Davydov, O.1
  • 8
    • 0007230719 scopus 로고    scopus 로고
    • ⊥ bivariate splines of degree q≥5
    • M. Daehlen, T. Lyche, L.L. Schumaker (Eds.), Vanderbilt University Press, Nashville
    • ⊥ bivariate splines of degree q≥5, in: M. Daehlen, T. Lyche, L.L. Schumaker (Eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 71-78.
    • (1998) Mathematical Methods for Curves and Surfaces , vol.2 , pp. 71-78
    • Davydov, O.1
  • 9
    • 0032047731 scopus 로고    scopus 로고
    • Approximation order of bivariate spline interpolation for arbitrary smoothness
    • O. Davydov, G. Nürnberger, F. Zeilfelder, Approximation order of bivariate spline interpolation for arbitrary smoothness, J. Comput. Appl. Math. 90 (1998) 117-134.
    • (1998) J. Comput. Appl. Math. , vol.90 , pp. 117-134
    • Davydov, O.1    Nürnberger, G.2    Zeilfelder, F.3
  • 10
    • 0343186923 scopus 로고    scopus 로고
    • Interpolation by splines on triangulations
    • M.D. Buhmann, M. Felten, D.H. Mache, M.W. Müller (Eds.), ISNM, Birkhäuser, Basel
    • O. Davydov, G. Nürnberger, F. Zeilfelder, Interpolation by splines on triangulations, in: M.D. Buhmann, M. Felten, D.H. Mache, M.W. Müller (Eds.), New Developments in Approximation Theory, ISNM, Birkhäuser, Basel, 1999, pp. 49-70.
    • (1999) New Developments in Approximation Theory , pp. 49-70
    • Davydov, O.1    Nürnberger, G.2    Zeilfelder, F.3
  • 11
    • 0041072722 scopus 로고    scopus 로고
    • On almost interpolation by multivariate splines
    • G. Nürnberger, J.W. Schmidt, G. Walz (Eds.), ISNM, Birkhäuser, Basel
    • O. Davydov, M. Sommer, H. Strauss, On almost interpolation by multivariate splines, in: G. Nürnberger, J.W. Schmidt, G. Walz (Eds.), Multivariate Approximation and Splines, ISNM, Birkhäuser, Basel, 1997, pp. 45-58.
    • (1997) Multivariate Approximation and Splines , pp. 45-58
    • Davydov, O.1    Sommer, M.2    Strauss, H.3
  • 12
    • 0007161017 scopus 로고    scopus 로고
    • Locally linearly independent systems and almost interpolation
    • G. Nürnberger, J.W. Schmidt, G. Walz (Eds.), ISNM, Birkhäuser, Basel
    • O. Davydov, M. Sommer, H. Strauss, Locally linearly independent systems and almost interpolation, in: G. Nürnberger, J.W. Schmidt, G. Walz (Eds.), Multivariate Approximation and Splines, ISNM, Birkhäuser, Basel, 1997, pp. 59-72.
    • (1997) Multivariate Approximation and Splines , pp. 59-72
    • Davydov, O.1    Sommer, M.2    Strauss, H.3
  • 13
    • 0007304971 scopus 로고    scopus 로고
    • On almost interpolation and locally linearly independent bases
    • O. Davydov, M. Sommer, H. Strauss, On almost interpolation and locally linearly independent bases, East J. Approx. 5 (1999) 67-88.
    • (1999) East J. Approx. , vol.5 , pp. 67-88
    • Davydov, O.1    Sommer, M.2    Strauss, H.3
  • 14
    • 0000161210 scopus 로고
    • ⊥ cubic splines on a non uniform type-2 triangulation of a rectangular domain
    • ⊥ cubic splines on a non uniform type-2 triangulation of a rectangular domain, C.R. Acad. Sci. Ser. I Math. 314 (1992) 413-418.
    • (1992) C.R. Acad. Sci. Ser. I Math. , vol.314 , pp. 413-418
    • Jeeawock-Zedek, F.1
  • 15
    • 84966234880 scopus 로고
    • ⊥ piecewise polynomials of degree n≥5
    • ⊥ piecewise polynomials of degree n≥5, Math. Comput. 29 (1975) 736-740.
    • (1975) Math. Comput. , vol.29 , pp. 736-740
    • Morgan, J.1    Scott, R.2
  • 16
    • 0343186919 scopus 로고
    • ⊥ bivariate splines
    • W. Dahmen, M. Gasca, C. Micchelli (Eds.), Academia de Ciencias, Zaragoza
    • ⊥ bivariate splines, in: W. Dahmen, M. Gasca, C. Micchelli (Eds.), Contributions to the computation of curves and surfaces, Academia de Ciencias, Zaragoza, 1990, pp. 55-66.
    • (1990) Contributions to the Computation of Curves and Surfaces , pp. 55-66
    • Nadler, E.1
  • 18
    • 0030295901 scopus 로고    scopus 로고
    • Approximation order of bivariate spline interpolation
    • G. Nürnberger, Approximation order of bivariate spline interpolation, J. Approx. Theory 78 (1996) 117-136.
    • (1996) J. Approx. Theory , vol.78 , pp. 117-136
    • Nürnberger, G.1
  • 19
    • 0007162020 scopus 로고    scopus 로고
    • Interpolation by bivariate splines on crosscut partitions
    • G. Nürnberger, J. W. Schmidt, G. Walz (Eds.), ISNM, Birkhäuser, Basel
    • G. Nürnberger, O. Davydov, G. Walz, F. Zeilfelder, Interpolation by bivariate splines on crosscut partitions, in: G. Nürnberger, J. W. Schmidt, G. Walz (Eds.), Multivariate Approximation and Splines, ISNM, Birkhäuser, Basel, 1997, pp. 189-203.
    • (1997) Multivariate Approximation and Splines , pp. 189-203
    • Nürnberger, G.1    Davydov, O.2    Walz, G.3    Zeilfelder, F.4
  • 20
    • 0001805405 scopus 로고
    • Lagrange and Hermite interpolation by bivariate splines
    • G. Nürnberger, Th. Riessinger, Lagrange and Hermite interpolation by bivariate splines, Numer. Func. Anal. Optim. 13 (1992) 75-96.
    • (1992) Numer. Func. Anal. Optim. , vol.13 , pp. 75-96
    • Nürnberger, G.1    Riessinger, Th.2
  • 21
    • 21844490083 scopus 로고
    • Bivariate spline interpolation at grid points
    • 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
  • 25
    • 0038840700 scopus 로고
    • Interpolation by uni- and multivariate generalized splines
    • M. Sommer, H. Strauss, Interpolation by uni- and multivariate generalized splines, J. Approx. Theory 83 (1995) 423-447.
    • (1995) J. Approx. Theory , vol.83 , pp. 423-447
    • Sommer, M.1    Strauss, H.2
  • 26
    • 21444449193 scopus 로고    scopus 로고
    • A condition of Schoenberg-Whitney type for multivariate spline interpolation
    • M. Sommer, H. Strauss, A condition of Schoenberg-Whitney type for multivariate spline interpolation, Advances in Comput. Math. 5 (1996) 381-397.
    • (1996) Advances in Comput. Math. , vol.5 , pp. 381-397
    • Sommer, M.1    Strauss, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.