Results 1 to 10 of about 430 (61)

About one algorithm of C2 interpolation using quartic splines [PDF]

Computer Science Journal of Moldova, 2009
The problem of C2 interpolation of a discrete set of data on the interval [a,b] representing the function f using quartic splines is investigated.
Igor Verlan
doaj  

Wendland functions with increasing smoothness converge to a Gaussian

, 2013
The Wendland functions are a class of compactly supported radial basis functions with a user-specified smoothness parameter. We prove that with a linear change of variables, both the original and the "missing" Wendland functions converge uniformly to a ...
Chernih, A., Sloan, I. H., Womersley, R. S.   +2 more
core   +1 more source

About a family of C2 splines with one free generating function [PDF]

Computer Science Journal of Moldova, 2005
The problem of interpolation of discrete set of data on the interval [a, b] representing the function f is investigated. A family of C*C splines with one free generating function is introduced in order to solve this problem.
Igor Verlan
doaj  

Extending the range of error estimates for radial approximation in Euclidean space and on spheres

, 2006
We adapt Schaback's error doubling trick [R. Schaback. Improved error bounds for scattered data interpolation by radial basis functions. Math. Comp., 68(225):201--216, 1999.] to give error estimates for radial interpolation of functions with smoothness ...
Duchon J., E. H. Georgoulis, J. Levesley, R. A. Brownlee, Svensson S. L.   +4 more
core   +1 more source

Projection solutions of Frobenius‐Perron operator equations

, 1991
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 3, Page 465-484, 1993.
Jiu Ding, Tien Tien Li
wiley   +1 more source

Steklov Type Operators and Functional Equations

Annales Mathematicae Silesianae
We consider sequences of Steklov type operators and an associated functional equation. For a suitable sequence, we establish asymptotic formulas.
Motronea Gabriela, Popa Dorian, Raşa Ioan   +2 more
doaj   +1 more source

Irregular C2 surface construction using bi-polynomial rectangular patches [PDF]

, 1991
The construction of C2 surfaces using bi-polynomial parametric rectangular patches is studied. In particular, the analy- sis of the C2 continuity conditions for the case of n patches meeting at an n-vertex is ...
Gregory, JA, Zhou, J
core  

Transfinite thin plate spline interpolation

, 2009
Duchon's method of thin plate splines defines a polyharmonic interpolant to scattered data values as the minimizer of a certain integral functional. For transfinite interpolation, i.e.
A. Bejancu, A. Bejancu, A. Böttcher, Aurelian Bejancu, D. Apprato, G.H. Golub, G.N. Watson, H. Wendland, J. Duchon, J. Duchon, L.L. Schumaker, M. Nicolesco, M.A. Sabin, O.I. Kounchev, O.I. Kounchev, O.I. Kounchev, R. Arcangéli, T.N.T. Goodman   +17 more
core   +1 more source

An upper bound on the number of zeros of a piecewise polinomial function

, 2008
A precise tie between a univariate spline's knots and its zeros abundance and dissemination is formulated. As an application, a conjecture formulated by De Concini and Procesi is shown to be true in the special univariate, unimodular case.
Caminati, Marco
core   +1 more source

Exponential Splines of Complex Order

, 2013
We extend the concept of exponential B-spline to complex orders. This extension contains as special cases the class of exponential splines and also the class of polynomial B-splines of complex order.
Massopust, Peter
core   +1 more source