Cubic spline interpolation of harmonic functions [PDF]
, 1973 It is shown that for the two dimensional Laplace equation a univariate cubic spline approximation in either space direction together with a difference approximation in the other leads to the well-known nine-point finite-difference formula.
Whiteman, J R, Papamichael, N
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A rational cubic spline with tension [PDF]
, 1989 A rational cubic spline curve is described which has tension control parameters for manipulating the shape of the curve. The spline is presented in both interpolatory and rational B-spline forms, and the behaviour of the resulting representations is ...
Gregory, JA, Sarfraz, M
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Improved orders of approximation derived from interpolatory cubic splines [PDF]
, 1978 Let s be a cubic spline, with equally spaced knots on [a,b], interpolating a given function y at the knots. The parameters which determine s are used to construct a piecewise defined polynomial P of degree four.
Papamichael, N, Behforooz, GH
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A class of cubic and quintic spline modified collocation methods for the solution of two-point boundary value problems [PDF]
, 1987 This paper is concerned with the study of a class of methods for solving second and fourth-order two-point boundary-value problems. The methods under consideration are modifications of the standard cubic and quintic spline collocation techniques, and ...
Soares, M J, Papamichael, N
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Smoothing data series by means of cubic splines: quality of approximation and introduction of a repeating spline approach [PDF]
Atmospheric Measurement Techniques, 2017 Cubic splines with equidistant spline sampling points are a common method in atmospheric science, used for the approximation of background conditions by means of filtering superimposed fluctuations from a data series.
S. Wüst +7 more
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Methods of Spline Functions in Solving Problems of Telecommunication and Information Technologies
Proceedings of the International Conference on Applied Innovations in IT, 2023 The solution to problems of telecommunications and information technologies using spline approximation and spline extrapolation based on real and complex spline functions is considered.
Irina Strelkovskaya +2 more
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Mathematics, 2019 The B-spline function representation is commonly used for data approximation and trajectory definition, but filter-based methods for nonlinear weighted least squares (NWLS) approximation are restricted to a bounded definition range.
Jens Jauch +3 more
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Neutrosophic B-spline Surface Approximation Model for 3-Dimensional Data Collection [PDF]
Neutrosophic Sets and SystemsSince there are threei membershipi functions: truth, false, and indeterminacyi, geometrical modelingi for B-spline surface approximation including neutrosophic data is particularly difficult to construct.
Siti Nur Idara Rosli +2 more
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Optimal Approximation of Biquartic Polynomials by Bicubic Splines
EPJ Web of Conferences, 2018 Recently an unexpected approximation property between polynomials of degree three and four was revealed within the framework of two-part approximation models in 2-norm, Chebyshev norm and Holladay seminorm.
Kačala Viliam, Török Csaba
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New Cubic B-Spline Approximation for Solving Linear Two-Point Boundary-Value Problems
Mathematics, 2021 In this study, we introduce a new cubic B-spline (CBS) approximation method to solve linear two-point boundary value problems (BVPs). This method is based on cubic B-spline basis functions with a new approximation for the second-order derivative.
Busyra Latif +2 more
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