9 citations · 25 across the 10 of their papers we have counts for
10 papers
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels
Aurelian Bejancu
For and positive integers , , such that , we study non-stationary interpolation at the points of the scaled grid via the Matérn kernel -…
Wiener-Hopf difference equations and semi-cardinal interpolation with integrable convolution kernels
Aurelian Bejancu
Let be a half-space lattice, defined either relative to a fixed coordinate (e.g.\ ), or relative to a linear orde…
On The splitting of the Einstein field equations with respect to a general threading of spacetime
Aurel Bejancu, Hani Reda Farran
Based on a general threading of the spacetime , we obtain a new and simple splitting of a both the Einstein field equations (EFE) and the conservation laws in $(M,g)…
Equations of Motion with Respect to the Threading of a Universe
Aurel Bejancu
We continue our research work started in "Kinematic Quantities and Raychaudhuri Equations in a Universe" (Eur. Phys. J. C, 2015), and obtain in a covariant form, the equations…
Kinematic Quantities and Raychaudhuri Equations in a Universe
Aurel Bejancu
Based on some ideas emerged from the classical Kaluza-Klein theory, we present a universe as a product bundle over the spacetime. This enables us to introduce and study t…
On the (1+3) threading of spacetime with respect to an arbitrary timelike vector field
Aurel Bejancu, Constantin Călin
We develop a new approach on the (1+3) threading of spacetime with respect to a congruence of curves defined by an arbitrary timelike vector field. The study is based on s…
A new class of interpolatory -splines with adjoint end conditions
Aurelian Bejancu, Reyouf S. Al-Sahli
A thin plate spline surface for interpolation of smooth transfinite data prescribed along concentric circles was recently proposed by Bejancu, using Kounchev's polyspline method. T…
Radially symmetric thin plate splines interpolating a circular contour map
Aurelian Bejancu
Profiles of radially symmetric thin plate spline surfaces minimizing the Beppo Levi energy over a compact annulus have been studied by Rabut via reproducing…
A study of the uniform accuracy of univariate thin plate spline interpolation
Aurelian Bejancu, Simon Hubbert
The usual power function error estimates do not capture the true order of uniform accuracy for thin plate spline interpolation to smooth data functions in one variable. In this pap…
Transfinite thin plate spline interpolation
Aurelian Bejancu
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,…