3 citations · 3 across the 2 of their papers we have counts for
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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…
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…
Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
Bangti Jin, Raytcho Lazarov, Zhi Zhou
Over the past few decades, there has been substantial interest in evolution equations that involving a fractional-order derivative of order in time, due to their many s…
Comparison analysis on two numerical methods for fractional diffusion problems based on rational approximations of
Stanislav Harizanov, Raytcho Lazarov, Pencho Marinov +2
We discuss, study, and compare experimentally three methods for solving the system of algebraic equations , , where is a symmetric a…
Numerical Approximation of Fractional Powers of Elliptic Operators
Beiping Duan, Raytcho Lazarov, Joeseph Pasciak
In this paper, we develop and study algorithms for approximately solving the linear algebraic systems: , , for with a fi…