293 citations · 1.8k across the 110 of their papers we have counts for
9 papers · 1 filter
On the Degree of Ill-Posedness of Multi-Dimensional Magnetic Particle Imaging
Tobias Kluth, Bangti Jin, Guanglian Li
Magnetic particle imaging is an imaging modality of relatively recent origin, and it exploits the nonlinear magnetization response for reconstructing the concentration of nanoparti…
Variational Gaussian Approximation for Poisson Data
Simon Arridge, Kazufumi Ito, Bangti Jin +1
The Poisson model is frequently employed to describe count data, but in a Bayesian context it leads to an analytically intractable posterior probability distribution. In this work,…
Space-Time Petrov-Galerkin FEM for Fractional Diffusion Problems
Beiping Duan, Bangti Jin, Raytcho Lazarov +2
We present and analyze a space-time Petrov-Galerkin finite element method for a time-fractional diffusion equation involving a Riemann-Liouville fractional derivative of order $α\i…
Generalized Multiscale Inversion for Heterogeneous Problems
Eric T. Chung, Yalchin Efendiev, Bangti Jin +2
In this work, we propose a generalized multiscale inversion algorithm for heterogeneous problems that aims at solving an inverse problem on a computational coarse grid. Previous in…
Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint
Bangti Jin, Buyang Li, Zhi Zhou
In this work, we present numerical analysis for a distributed optimal control problem, with box constraint on the control, governed by a subdiffusion equation which involves a frac…
Preasymptotic Convergence of Randomized Kaczmarz Method
Yuling Jiao, Bangti Jin, Xiliang Lu
Kaczmarz method is one popular iterative method for solving inverse problems, especially in computed tomography. Recently, it was established that a randomized version of the metho…
Numerical analysis of nonlinear subdiffusion equations
Bangti Jin, Buyang Li, Zhi Zhou
We present a general framework for the rigorous numerical analysis of time-fractional nonlinear parabolic partial differential equations, with a fractional derivative of order $α\i…
Iterative Soft/Hard Thresholding with Homotopy Continuation for Sparse Recovery
Yuling Jiao, Bangti Jin, Xiliang Lu
In this note, we analyze an iterative soft / hard thresholding algorithm with homotopy continuation for recovering a sparse signal from noisy data of a noise level . Under…
Correction of high-order BDF convolution quadrature for fractional evolution equations
Bangti Jin, Buyang Li, Zhi Zhou
We develop proper correction formulas at the starting steps to restore the desired -order convergence rate of the -step BDF convolution quadrature for discreti…