A monotone nonlocal cubic spline

Computational Mathematics and Mathematical Physics

Volumn 41, Issue 2, 2001, Pages 180-186

  Pinchukov, V I ^a  

^a INSTITUTE OF COMPUTATIONAL TECHNOLOGIES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745660290     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. Stechkin, S.B. and Subbotin, Yu.N., Splainy v vychislitel'noi matematike (Splines in Computational Mathematics), Moscow: Nauka, 1976.
2. Zav'yalov, Yu.S., Kvasov, B.I., and Miroshnichenko, V.L., Metody splain-funktsii (The Method of Spline Functions), Moscow: Nauka, 1980.
3. Grebennikov, A.I., Metod splainov i reshenie nekorrektnykh zadach teorii priblizhenii (Spline Method and Solution of Ill-Posed Problems in Approximation Theory), Moscow: Mosk. Gos. Univ., 1983.
4. Kvasov, B.I., Shape Preserving C2 Spline Interpolation, Proc. of the Second Asian Mathematical Conf., Tangmanee, S. and Schulz, E., Eds., Singapore: World Sci., 1998, pp. 430-439.
5. Delbourgo, R. and Gregory, J.A., Shape Preserving Piecewise Rational Interpolation, SIAM J. Numer. Sci. Stat. Comput., 1985, vol. 6, no. 4, pp. 967-976.
6. Harten, A., Engquist, B., Osher, S., and Chakravarthy, S., Uniformly High-Order Essentially Non-Oscillatory Schemes III, J. Comput. Phys., 1987, vol. 71, pp. 279-309.
7. Jiang, G. and Shu, C.-W., Efficient Implementation of Weighted ENO Schemes, J. Comput. Phys., 1996, vol. 126, pp. 202-228.
8. Sod, G.A., Numerical Methods in Fluid Dynamics, Cambridge: Cambridge Univ. Press, 1985.
9. Pinchukov, V.I., Construction of Predictor-Corrector Schemes of Arbitrary Order of Accuracy, Mat. Modelirovanie, 1991, vol. 3, no. 9, pp. 95-104.
10. Pinchukov, V.I., ENO Modification of a Nonlocal Cubic Spline on a Uniform Grid, Vychisl. Tekhnol., 2000, vol. 5, no. 6, pp. 62-69.