Results 31 to 40 of about 1,170,819 (338)

Sharp error estimates for spline approximation: Explicit constants, n-widths, and eigenfunction convergence [PDF]

open access: yesMathematical Models and Methods in Applied Sciences, 2018
In this paper, we provide a priori error estimates in standard Sobolev (semi-)norms for approximation in spline spaces of maximal smoothness on arbitrary grids.
Espen Sande, C. Manni, H. Speleers
semanticscholar   +1 more source

Smoothing data series by means of cubic splines: quality of approximation and introduction of a repeating spline approach [PDF]

open access: yesAtmospheric 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
doaj   +1 more source

Solving time fractional Burgers’ and Fisher’s equations using cubic B-spline approximation method

open access: yes, 2020
This article presents a numerical algorithm for solving time fractional Burgers’ and Fisher’s equations using cubic B-spline finite element method. The L 1 formula with Caputo derivative is used to discretized the time fractional derivative, whereas the ...
Abdul Majeed   +3 more
semanticscholar   +1 more source

Methods of Spline Functions in Solving Problems of Telecommunication and Information Technologies

open access: yesProceedings 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
doaj   +1 more source

Application of new quintic polynomial B-spline approximation for numerical investigation of Kuramoto–Sivashinsky equation

open access: yes, 2020
A spline is a piecewise defined special function that is usually comprised of polynomials of a certain degree. These polynomials are supposed to generate a smooth curve by connecting at given data points.
M. Iqbal, M. Abbas, Tahir Nazir, N. Ali
semanticscholar   +1 more source

An Iterative Method Based on the Marginalized Particle Filter for Nonlinear B-Spline Data Approximation and Trajectory Optimization

open access: yesMathematics, 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
doaj   +1 more source

Optimal Approximation of Biquartic Polynomials by Bicubic Splines

open access: yesEPJ 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
doaj   +1 more source

Neutrosophic B-spline Surface Approximation Model for 3-Dimensional Data Collection [PDF]

open access: yesNeutrosophic Sets and Systems
Since 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
doaj   +1 more source

New Cubic B-Spline Approximation for Solving Linear Two-Point Boundary-Value Problems

open access: yesMathematics, 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
doaj   +1 more source

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