293 citations · 634 across the 48 of their papers we have counts for
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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…
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…
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…
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…