6533b7d9fe1ef96bd126ba14
RESEARCH PRODUCT
Error analysis for a special X-spline
Heinrich N. MültheiBenno Schorrsubject
Discrete mathematicsNumerical AnalysisMathematics::Numerical AnalysisComputer Science ApplicationsTheoretical Computer ScienceComputational MathematicsSpline (mathematics)Computational Theory and MathematicsError analysisPiecewiseApplied mathematicsMathematical Physics and MathematicsComputer communication networksSoftwareMathematicsInterpolationdescription
Clenshaw and Negus [1] defined the cubic X-spline, and they applied it to an interpolation problem. In the present paper, for the same interpolation problem, an interpolating splinew is considered by combining two specialX-splines. The construction ofw is such that the computational labour for its determination, in the case of piecewise equally spaced knots, is less than that of the conventional cubic splines c . A complete error analysis ofw is done. One of the main results is that, in the case of piecewise equally spaced knots,w ands c have essentially the same error estimates.
year | journal | country | edition | language |
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1979-10-22 | Computing |