The study of condition numbers and perturbation analysis in least squares problems has become a cornerstone in numerical linear algebra, underpinning the reliability and accuracy of solutions to ...

For the known spectral methods (Galerkin, Tau, Collocation) the condition number behaves like $O(N^4)$ ($N$: maximal degree of polynomials). We introduce a spectral ...

In the first part of the paper, we introduce an overlapping mortar finite element method for solving two-dimensional elliptic problems discretized on overlapping ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...