3 citations · 3 across the 4 of their papers we have counts for
6 papers
Reduced Sum Implementation of the BURA Method for Spectral Fractional Diffusion Problems
Stanislav Harizanov, Nikola Kosturski, Ivan Lirkov +2
The numerical solution of spectral fractional diffusion problems in the form is studied, where is a selfadjoint elliptic operator in a bounded do…
A Survey on Numerical Methods for Spectral Space-Fractional Diffusion Problems
Stanislav Harizanov, Raytcho Lazarov, Svetozar Margenov
The survey is devoted to numerical solution of the fractional equation , , where is a symmetric positive definite operator corresponding to a second order elli…
Spectral Fractional Laplacian with Inhomogeneous Dirichlet Data: Questions, Problems, Solutions
Stanislav Harizanov, Svetozar Margenov, Nedyu Popivanov
In this paper we discuss the topic of correct setting for the equation , with . The definition of the fractional Laplacian on the whole space , $n=…
Mathematical and Computer Modeling of COVID-19 Transmission Dynamics in Bulgaria by Time-depended Inverse SEIR Model
Svetozar Margenov, Nedyu Popivanov, Iva Ugrinova +2
In this paper we explore a time-depended SEIR model, in which the dynamics of the infection in four groups from a selected target group (population), divided according to the infec…
The Best Uniform Rational Approximation: Applications to Solving Equations Involving Fractional powers of Elliptic Operators
Stanislav Harizanov, Raytcho Lazarov, Svetozar Margenov +1
In this paper we consider one particular mathematical problem of this large area of fractional powers of self-adjoined elliptic operators, defined either by Dunford-Taylor-like int…
Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation
Stanislav Harizanov, Raytcho Lazarov, Pencho Marinov +2
Here we study theoretically and compare experimentally an efficient method for solving systems of algebraic equations, where the matrix comes from the discretization of a fractiona…