Abstract
A hyperbolic tension spline is defined as the solution of a differential multipoint boundary value problem. A discrete hyperbolic tension spline is obtained using the difference analogues of differential operators; its computation does not require exponential functions, even if its continuous extension is still a spline of hyperbolic type. We consider the basic computational aspects and show the main features of this approach.
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Costantini, P., Kvasov, B.I. & Manni, C. On discrete hyperbolic tension splines. Advances in Computational Mathematics 11, 331–354 (1999). https://doi.org/10.1023/A:1018988312596
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DOI: https://doi.org/10.1023/A:1018988312596