R. Lazarov

activity

20112020

most citedThe Galerkin Finite Element Method for A Multi-term Time-Fractional Diffusion equation

293 citations · 793 across the 29 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

math.NA2018★ 203 cited

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 $α \in (0, 1)$ in time, due to their many s…

math.NA2018

Comparison analysis on two numerical methods for fractional diffusion problems based on rational approximations of $t^{γ}, 0 \leq t \leq 1$

Stanislav Harizanov, Raytcho Lazarov, Pencho Marinov +2

We discuss, study, and compare experimentally three methods for solving the system of algebraic equations $A^{α} u = f$ , $0 < α < 1$ , where $A$ is a symmetric a…

math.NA2018★ 1 cited

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: $A_{h}^{α} u_{h} = f_{h}$ , $0 < α < 1$ , for $u_{h}, f_{h} \in V_{h}$ with $V_{h}$ a fi…

Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview

Comparison analysis on two numerical methods for fractional diffusion problems based on rational approximations of tγ, 0≤t≤1

Numerical Approximation of Fractional Powers of Elliptic Operators

Comparison analysis on two numerical methods for fractional diffusion problems based on rational approximations of $t^{γ}, 0 \leq t \leq 1$