An approach to the interpolation of nonuniformly spaced data

Journal of Computational and Applied Mathematics - Tập 23 - Trang 169-178 - 1988
Yu Yu Feng1
1Department of Mathematics, University of Science & Technology of China, Hefei Anhui, People's Republic of China

Tài liệu tham khảo

de Boor, 1975, On bounding spline interpolation, J. Approx. Theory, 14, 191, 10.1016/0021-9045(75)90055-6 de Boor, 1976, On cubic spline functions which vanish at all knots, Advances Math., 20, 1, 10.1016/0001-8708(76)90166-3 de Boor, 1978 Cline, 1974, Scalar- and planar-valued curve fitting in one and two dimensional spaces using splines under tension, Comm. ACM, 17, 218, 10.1145/360924.360971 Flaherty, 1980, Collocation with polynomial and tension splines for singularly-perturbed boundary value problems, SIAM J. Sci. Stat. Comp., 1, 260, 10.1137/0901018 Friedland, 1978, Bounds of the solutions of difference equations and spline interpolation at knots, Lin. Alg. Appl., 20, 219, 10.1016/0024-3795(78)90020-4 Hall, 1976, Optimal error bounds for cubic spline interpolation, J. Approx. Theory, 16, 105, 10.1016/0021-9045(76)90040-X Kozak, 1980, On the choice of the exterior knots in the B-spline basis Kozak, 1986, Shape preserving approximation, Computers in Industry, 7, 435, 10.1016/0166-3615(86)90092-8 Marsden, 1973, Cubic spline interpolation of continuous functions, J. Approx. Theory, 10, 103, 10.1016/0021-9045(74)90109-9 Schumaker, 1981 Schweikert, 1966, An interpolating curve using a spline in tension, J. Math. Physics, 45, 312, 10.1002/sapm1966451312 Späth, 1973