253 citations · 476 across the 75 of their papers we have counts for
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Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise
Max Gunzburger, Buyang Li, Jilu Wang
Numerical approximation of a stochastic partial integro-differential equation driven by a space- time white noise is studied by truncating a series representation of the noise, wit…
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…
Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise
Max Gunzburger, Buyang Li, Jilu Wang
The stochastic time-fractional equation with space-time white noise is discretized in time by a backward-Euler convolution q…
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…
Boundary problems for the fractional and tempered fractional operators
Weihua Deng, Buyang Li, Wenyi Tian +1
For characterizing the Brownian motion in a bounded domain: , it is well-known that the boundary conditions of the classical diffusion equation just rely on the given informatio…
Analyticity, maximal regularity and maximum-norm stability of semi-discrete finite element solutions of parabolic equations in nonconvex polyhedra
Buyang Li
In general polygons and polyhedra, possibly nonconvex, the analyticity of the finite element heat semigroup in the norm, , and the maximal -regularity…