6533b7d9fe1ef96bd126ba14

RESEARCH PRODUCT

Error analysis for a special X-spline

Heinrich N. MültheiBenno Schorr

subject

Discrete mathematicsNumerical AnalysisMathematics::Numerical AnalysisComputer Science ApplicationsTheoretical Computer ScienceComputational MathematicsSpline (mathematics)Computational Theory and MathematicsError analysisPiecewiseApplied mathematicsMathematical Physics and MathematicsComputer communication networksSoftwareMathematicsInterpolation

description

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.

yearjournalcountryeditionlanguage
1979-10-22Computing
https://doi.org/10.1007/bf02242003