메뉴 건너뛰기




Volumn 31, Issue 4-5, 1996, Pages 67-79

Staircase algorithm and construction of convex spline interpolants up to the continuity C3

Author keywords

Closedness of the solvability set; Constructive methods; Rational and lacunary splines; Splines on refined grids

Indexed keywords


EID: 0007218778     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/0898-1221(95)00218-9     Document Type: Article
Times cited : (12)

References (22)
  • 2
    • 0002456756 scopus 로고
    • A survey on univariate data interpolation and approximation by splines of given shape
    • H. Greiner, A survey on univariate data interpolation and approximation by splines of given shape, Math. Comput. Modelling 15 (10), 97-106 (1991).
    • (1991) Math. Comput. Modelling , vol.15 , Issue.10 , pp. 97-106
    • Greiner, H.1
  • 3
    • 23644441178 scopus 로고
    • Beiträge zur konvexen Interpolation, Histopolation und Approximation durch Spline-Funktionen
    • J.W. Schmidt, Beiträge zur konvexen Interpolation, Histopolation und Approximation durch Spline-Funktionen, Mitt. Math. Gesellsch. Hamburg 12, 603-628 (1991).
    • (1991) Mitt. Math. Gesellsch. Hamburg , vol.12 , pp. 603-628
    • Schmidt, J.W.1
  • 5
    • 85171972993 scopus 로고
    • An interpolation curve using a spline in tension
    • D.G. Schweikert, An interpolation curve using a spline in tension, J. Math. Phys. 45, 312-317 (1966).
    • (1966) J. Math. Phys. , vol.45 , pp. 312-317
    • Schweikert, D.G.1
  • 6
    • 0000123485 scopus 로고
    • Exponential spline interpolation
    • H. Späth, Exponential spline interpolation, Computing 4, 225-233 (1969).
    • (1969) Computing , vol.4 , pp. 225-233
    • Späth, H.1
  • 7
    • 84966241136 scopus 로고
    • On monotone and convex spline interpolation
    • P. Costantini, On monotone and convex spline interpolation, Math. Comp. 46 (173), 203-214 (1986).
    • (1986) Math. Comp. , vol.46 , Issue.173 , pp. 203-214
    • Costantini, P.1
  • 8
    • 0000421970 scopus 로고
    • Convexity-preserving polynomial splines of non-uniform degree
    • P.D. Kaklis and D.G. Pandelis, Convexity-preserving polynomial splines of non-uniform degree, IMA J. Numer. Anal. 10, 223-234 (1990).
    • (1990) IMA J. Numer. Anal. , vol.10 , pp. 223-234
    • Kaklis, P.D.1    Pandelis, D.G.2
  • 10
    • 9544219503 scopus 로고
    • Shape preserving spline interpolation
    • J.A. Gregory, Shape preserving spline interpolation, Computer-Aided Design 18, 53-57 (1986).
    • (1986) Computer-aided Design , vol.18 , pp. 53-57
    • Gregory, J.A.1
  • 12
    • 0025477545 scopus 로고
    • Convexity-preserving piecewise rational cubic interpolation
    • J.C. Clements, Convexity-preserving piecewise rational cubic interpolation, SIAM J. Numer. Anal. 27, 1016-1023 (1990).
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 1016-1023
    • Clements, J.C.1
  • 13
    • 0000175949 scopus 로고
    • On shape-preserving quadratic spline interpolation
    • L.L. Schumaker, On shape-preserving quadratic spline interpolation, SIAM J. Numer. Anal. 20, 854-864 (1983).
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 854-864
    • Schumaker, L.L.1
  • 16
    • 51249179588 scopus 로고
    • Monotone and convex cubic spline interpolation
    • P. Costantini and R. Morandi, Monotone and convex cubic spline interpolation, Calcolo 21, 281-294 (1984).
    • (1984) Calcolo , vol.21 , pp. 281-294
    • Costantini, P.1    Morandi, R.2
  • 17
    • 0040262981 scopus 로고
    • Schwach verkoppelte Ungleichungssysteme und konvexe Spline-Interpolation
    • J.W. Schmidt and W. Heß, Schwach verkoppelte Ungleichungssysteme und konvexe Spline-Interpolation, Elem. Math. 39, 85-95 (1984).
    • (1984) Elem. Math. , vol.39 , pp. 85-95
    • Schmidt, J.W.1    Heß, W.2
  • 18
  • 19
    • 0022907315 scopus 로고
    • Convex interval interpolation with cubic splines
    • J.W. Schmidt, Convex interval interpolation with cubic splines, BIT 26, 377-387 (1986).
    • (1986) BIT , vol.26 , pp. 377-387
    • Schmidt, J.W.1
  • 21
    • 21344482259 scopus 로고
    • 2 cubic spline interpolation
    • 2 cubic spline interpolation, IMA J. Numer. Anal. 13, 493-507 (1993).
    • (1993) IMA J. Numer. Anal. , vol.13 , pp. 493-507
    • Pruess, S.1
  • 22


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.