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DMBVP for Tension Splines

In: Proceedings of the Conference on Applied Mathematics and Scientific Computing

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  • Boris I. Kvasov

    (Institute of Computational Technologies, Russian Academy of Sciences)

Abstract

This paper addresses a new approach in solving the problem of shape preserving spline interpolation. Based on the formulation of the latter problem as a differential multipoint boundary value problem for hyperbolic and biharmonic tension splines we consider its finite-difference approximation. The resulting system of linear equations can be efficiently solved either by direct (Gaussian elimination) and iterative methods (successive over-relaxation (SOR) method and finite-difference schemes in fractional steps). We consider the basic computational aspects and illustrate the main advantages of this original approach.

Suggested Citation

  • Boris I. Kvasov, 2005. "DMBVP for Tension Splines," Springer Books, in: Zlatko Drmač & Miljenko Marušić & Zvonimir Tutek (ed.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, pages 67-94, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4020-3197-7_3
    DOI: 10.1007/1-4020-3197-1_3
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