Search
Search Results
-
On minimax cardinal spline interpolation
It is shown that in the problem of cardinal interpolation, spline interpolants of various degrees are R -minimax, with respect to corresponding...
-
Some results on the space of rational cubic fractal interpolation functions
In this article, rational cubic fractal interpolation function (RCFIF) with three shape parameters is constructed. We develope the orthonormal basis...
-
The Behavior of Frequency Bandlimited Cardinal Interpolants
This chapter studies frequency bandlimited solutions to the cardinal interpolation problem with data that may have polynomial growth or decay. There...
-
Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms
In this work we extend some ideas about greedy algorithms, which are well-established tools for, e.g., kernel bases, and exponential-polynomial...
-
Fundamental functions for local interpolation of quadrilateral meshes with extraordinary vertices
The aim of this work is to present a general and simple strategy for the construction of compactly supported fundamental spline...
-
Estimates of Solutions to Infinite Systems of Linear Equations and the Problem of Interpolation by Cubic Splines on the Real Line
We study the solvability of bi-infinite systems of linear equations whose matrices are diagonally dominant. We prove that the estimates of the...
-
Fourier Interpolation with Zeros of Zeta and L-Functions
We construct a large family of Fourier interpolation bases for functions analytic in a strip symmetric about the real line. Interesting examples...
-
-
-
Leaf Surface Reconstruction Using a Hybrid Interpolation Finite Element Method
The goals of the research presented in this paper are first, construction a leaf surface from large real 3D scanned data points using a new hybrid...
-
Convergence Estimates for Stationary Radial Basis Function Interpolation and for Semi-discrete Collocation-Schemes
We give a Fourier-theoretic analysis of the convergence of semi-discrete Radial Basis Function interpolation on regular grids and of the associated...
-
Numerical Applications of DFT
This chapter addresses numerical applications of DFTs. In Sect. 9.1, we describe a powerful multidimensional approximation method, the so-called...
-
Numerical Solutions of Bivariate Nonlinear Integral Equations with Cardinal Splines
The main objective of this work is to develop an efficient technique for solving bivariate linear or nonlinear Volterra integral equations. The...
-
Construction of operational matrices based on linear cardinal B-spline functions for solving fractional stochastic integro-differential equation
The main purpose of this paper is to develop a new method based on operational matrices of the linear cardinal B-spline (LCB-S) functions to...
-
An interpolation-based method for solving Volterra integral equations
In this study, the second kind Volterra integral equations (VIEs) are considered. An algorithm based on the two-point Taylor formula as a special...
-
-
A cardinal method to solve coupled nonlinear variable-order time fractional sine-Gordon equations
In this study, a computational approach based on the shifted second-kind Chebyshev cardinal functions (CCFs) is proposed for obtaining an approximate...
