106 citations · 409 across the 35 of their papers we have counts for
5 papers · 1 filter
Entropy of Sobolev's classes on Compact Homogeneous Riemannian Manifolds
A. Kushpel, J. Levesley
We develop a general method to calculate entropy numbers of standard Sobolev's classes on an arbitrary compact homogeneous Riemannian manifold. Our method is essentially based on a…
Approximation of exponential-type functions on a uniform grid by shifts of a basis function
Alexander Kushpel, Jeremy Levesley, Xingping Sun
In this paper, we study the problem of interpolating a continuous function at equally-spaced points in the interval , using shifts of a kernel on the -spaced…
Fast multilevel sparse Gaussian kernels for high-dimensional approximation and integration
Zhaonan Dong, Emmanuil H. Georgoulis, Jeremy Levesley +1
A fast multilevel algorithm based on directionally scaled tensor-product Gaussian kernels on structured sparse grids is proposed for interpolation of high-dimensional functions and…
Noise-Produced Patterns in Images Constructed from Magnetic Flux Leakage Data
Anastasiya V. Pimenova, Denis S. Goldobin, Jeremy Levesley +2
Magnetic flux leakage measurements help identify the position, size and shape of corrosion-related defects in steel casings used to protect boreholes drilled into oil and gas reser…
Magnetic Flux Leakage Method: Large-Scale Approximation
Anastasiya V. Pimenova, Denis S. Goldobin, Jeremy Levesley +3
We consider the application of the magnetic flux leakage (MFL) method to the detection of defects in ferromagnetic (steel) tubulars. The problem setup corresponds to the cases wher…