A simple unified method for the realization of generalized splines by using the matrix sweep algorithm

V. V. Smelov

doi:10.1007/bf02109843

journal article May 01, 1995

A simple unified method for the realization of generalized splines by using the matrix sweep algorithm

V. V. Smelov

Siberian Mathematical Journal Vol. 36 No. 3 pp. 562-568 · Springer Science and Business Media LLC

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References

11

[1]

V. A. Vasilenko, Spline Functions: Theory, Algorithms, and Programs [in Russian], Nauka, Novosibirsk (1983).

[2]

Z. X. Xiong, “The spline functions of (2n+1)th degree with the coefficients expressed by even-order derivatives,” in: Abstracts: CAD 80, 4th International Conference and Exhib. Comput. Des. Eng. Brighton Metropole, 1980, Guildford, 1980, pp. 237–242.

[3]

J. H. Ahlberg, E. N. Nilson, and J. L. Walsh, The Theory of Splines and Their Applications [Russian translation], Mir, Moscow (1972).

[4]

G. I. Marchuk, Methods of Numerical Mathematics [in Russian], Nauka, Moscow (1980).

[5]

A. A. Samarskii and E. S. Nikolaev, Methods for Solving Grid Equations [in Russian], Nauka, Moscow (1978).

[6]

G. I. Marchuk, Numerical Methods for Nuclear Reactor Calculations [in Russian], Atomizdat, Moscow (1958).

[7]

V. V. Smelov, Lectures on Neutron Transport Theory [in Russian], Atomizdat, Moscow (1978).

[8]

G. I. Marchuk and V. I. Lebedev, Numerical Methods in Neutron Transport Theory [in Russian], Atomizdat, Moscow (1981).

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M. A. Naimark, Linear Differential Operators [in Russian], Nauka, Moscow (1969).

[10]

V. V. Stepanov, A Course of Differential Equations [in Russian], Gostekhizdat, Moscow-Leningrad (1950).

[11]

V. V. Smelov, The Sturm-Liouville Operators and Their Nonclassical Applications [in Russian], Nauka, Novosibirsk (1992).

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Published: May 01, 1995
Vol/Issue: 36(3)
Pages: 562-568
License: View

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V. V. Smelov

Cite This Article

V. V. Smelov (1995). A simple unified method for the realization of generalized splines by using the matrix sweep algorithm. Siberian Mathematical Journal, 36(3), 562-568. https://doi.org/10.1007/bf02109843

A simple unified method for the realization of generalized splines by using the matrix sweep algorithm

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