171 citations · 605 across the 31 of their papers we have counts for
4 papers · 1 filter
On fractional asymptotical regularization of linear ill-posed problems in Hilbert spaces
Ye Zhang, Bernd Hofmann
In this paper, we study a fractional-order variant of the asymptotical regularization method, called {\it Fractional Asymptotical Regularization (FAR)}, for solving linear ill-pose…
Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups
Hong-Quan Li, Ye Zhang
The aim of this paper is threefold. First, we obtain the precise bounds for the heat kernel on isotropic Heisenberg groups by using well-known results in the three dimensional case…
Second order asymptotical regularization methods for inverse problems in partial differential equations
Ye Zhang, Rongfang Gong
We develop Second Order Asymptotical Regularization (SOAR) methods for solving inverse source problems in elliptic partial differential equations with both Dirichlet and Neumann bo…
Damped second order flow applied to image denoising
George Baravdish, Olof Svensson, Mårten Gulliksson +1
In this paper, we introduce a new image denoising model: the damped flow (DF), which is a second order nonlinear evolution equation associated with a class of energy functionals of…