We consider acoustic and elastic wave propagation problems in 2D unbounded domains, reformulated in terms of space-time Boundary Integral Equations (BIEs). For their numerical …
Destriping has attracted a lot of interest in the field of remote sensing images processing. Recent research works consider the characteristics of stripes, among which low-rankness …
The Nyström method is a convenient strategy to obtain low-rank approximations to kernel matrices in nearly linear complexity. Existing studies typically use the method to approximate …
The adaptive cross approximation (ACA) is considered for matrix structures where error control is lost. A weighted average form of the ACA is presented that mitigates the loss of …
A Alqahtani, T Mach, L Reichel - Numerical Algorithms, 2023 - Springer
The analysis of linear ill-posed problems often is carried out in function spaces using tools from functional analysis. However, the numerical solution of these problems typically is …
We consider Fredholm integral equation of the first kind with noisy data and use Landweber- type iterative methods as an iterative solver. We compare regularization property of …
D Mokriš, B Jüttler - Journal of Computational and Applied Mathematics, 2024 - Elsevier
The paper is devoted to the problem of finding bivariate tensor-product spline (or similar) functions that approximate gridded data in the least-squares sense. We propose to apply a …
This paper deals with proposing a new efficient adaptive algorithm for the computation of tensor SVD (t-SVD). The proposed algorithm can estimate the tubal-rank of a given third …
T Mach, L Reichel, M Van Barel - Numerical Algorithms, 2023 - Springer
Many problems in science and engineering give rise to linear integral equations of the first kind with a square integrable kernel. Discretization of the integral operator yields a matrix …