13 citations · 17 across the 3 of their papers we have counts for
4 papers
Tikhonov and Landweber convergence rates: characterization by interpolation spaces
Roman Andreev
Algebraic convergences rates of (iterated) Tikhonov regularization for linear inverse problems in Hilbert spaces are characterized by the membership of the exact solution to interm…
Generalized Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces
Roman Andreev, Peter Elbau, Maarten V. de Hoop +2
In recent years, a series of convergence rates conditions for regularization methods has been developed. Mainly, the motivations for developing novel conditions came from the desir…
Kolmogorov-Chentsov theorem and differentiability of random fields on manifolds
Roman Andreev, Annika Lang
A version of the Kolmogorov-Chentsov theorem on sample differentiability and Hölder continuity of random fields on domains of cone type is proved, and the result is generalized to…
Space-time discretization of the heat equation. A concise Matlab implementation
Roman Andreev
A concise Matlab implementation of a stable parallelizable space-time Petrov-Galerkin discretization for parabolic evolution equations is given. Emphasis is on reusability of spati…