Results 31 to 40 of about 631 (89)
Interpolation of natural cubic spline
From the result in [1] it follows that there is a unique quadratic spline which bounds the same area as that of the function. The matching of the area for the cubic spline does not follow from the corresponding result proved in [2]. We obtain cubic splines which preserve the area of the function.
Arun Kumar, L. K. Govil
wiley +1 more source
In the present paper, we define a new class of discrete splines and study the existence, uniqueness, and convergence properties of discrete quadratic splines satisfying the Mean Averaging Condition.
Surendra Singh Rana
wiley +1 more source
Verifying of reciprocal relations for nonlinear quadripole in unsteady mode
This paper deals with experimental verification of reciprocal relations of nonlinear quadripole for unsteady mode in external magnetic field. We find out transients of measured voltages in the quadripole after current switch.
Alexey Bardin +3 more
doaj +1 more source
The generalized sampling theorem for transforms of not necessarily square integrable functions
It is known that the generalized sampling theorem is valid for certain finite limit integral transforms of square integrable functions. In this note, we will extend the validity of the theorem to include transforms of absolutely integrable functions associated with differentiable kernels.
A. J. Jerri
wiley +1 more source
Quantum coherence of Gaussian states in curved spacetime
We study quantum coherence of two-mode Gaussian states in the background of an asymptotically flat black hole. We find that quantum coherence between mode A observed by an inertial observer Alice and mode B observed by an accelerated Bob who hovers near ...
Shu-Min Wu, Hao-Sheng Zeng, Tong-Hua Liu
doaj +1 more source
On certain multivariate Vandermonde determinants whose variables separate
We prove that for almost square tensor product grids and certain sets of bivariate polynomials the Vandermonde determinant can be factored into a product of univariate Vandermonde determinants. This result generalizes the conjecture [Lemma 1, L.
De Marchi, Stefano, Usevich, Konstantin
core +1 more source
Extending the range of error estimates for radial approximation in Euclidean space and on spheres
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. +4 more
core +1 more source
Adsorption of binary polymer mixtures with different topology on a wall
We consider a binary mixture of two polymers with different architecture, consisting of linear and cyclic chains. We study this system by performing extensive molecular dynamics computer simulations of bead-spring models, which possess the open-chain and
Francis M. Gaitho, Giuseppe Pellicane
doaj +1 more source
Wendland functions with increasing smoothness converge to a Gaussian
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. +2 more
core +1 more source
We propose a model of the fiber coupling efficiency for a partially coherent collimating laser beam propagating through turbulent biological tissue to fiber.
Qiyong Liang +5 more
doaj +1 more source

