Buyang Li

According to our database1, Buyang Li authored at least 55 papers between 2010 and 2021.

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Bibliography

2021
Convergence of a Second-order Energy-decaying Method for the Viscous Rotating Shallow Water Equation.
SIAM J. Numer. Anal., 2021

A bounded numerical solution with a small mesh size implies existence of a smooth solution to the Navier-Stokes equations.
Numerische Mathematik, 2021

Weak discrete maximum principle of finite element methods in convex polyhedra.
Math. Comput., 2021

A High-order Exponential Integrator for Nonlinear Parabolic Equations with Nonsmooth Initial Data.
J. Sci. Comput., 2021

A perimeter-decreasing and area-conserving algorithm for surface diffusion flow of curves.
CoRR, 2021

A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation.
CoRR, 2021

Convergence of Dziuk's semidiscrete finite element method for mean curvature flow of closed surfaces with high-order finite elements.
CoRR, 2021

Analysis of fully discrete finite element methods for 2D Navier-Stokes equations with critical initial data.
CoRR, 2021

2020
Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations.
SIAM J. Sci. Comput., 2020

Long-time Accurate Symmetrized Implicit-explicit BDF Methods for a Class of Parabolic Equations with Non-self-adjoint Operators.
SIAM J. Numer. Anal., 2020

A Convergent Linearized Lagrange Finite Element Method for the Magneto-hydrodynamic Equations in Two-Dimensional Nonsmooth and Nonconvex Domains.
SIAM J. Numer. Anal., 2020

A Second-Order Stabilization Method for Linearizing and Decoupling Nonlinear Parabolic Systems.
SIAM J. Numer. Anal., 2020

Convergence of Dziuk's Linearly Implicit Parametric Finite Element Method for Curve Shortening Flow.
SIAM J. Numer. Anal., 2020

Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping.
Numerische Mathematik, 2020

A convergent evolving finite element algorithm for Willmore flow of closed surfaces.
CoRR, 2020

A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density.
CoRR, 2020

High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation.
CoRR, 2020

Maximal regularity of multistep fully discrete finite element methods for parabolic equations.
CoRR, 2020

2019
Energy-Decaying Extrapolated RK-SAV Methods for the Allen-Cahn and Cahn-Hilliard Equations.
SIAM J. Sci. Comput., 2019

A convergent evolving finite element algorithm for mean curvature flow of closed surfaces.
Numerische Mathematik, 2019

Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise.
Numerische Mathematik, 2019

Analysis of fully discrete FEM for miscible displacement in porous media with Bear-Scheidegger diffusion tensor.
Numerische Mathematik, 2019

Analyticity, maximal regularity and maximum-norm stability of semi-discrete finite element solutions of parabolic equations in nonconvex polyhedra.
Math. Comput., 2019

Subdiffusion with a time-dependent coefficient: Analysis and numerical solution.
Math. Comput., 2019

Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise.
Math. Comput., 2019

A convergent algorithm for mean curvature flow driven by diffusion on the surface.
CoRR, 2019

2018
Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions.
SIAM J. Sci. Comput., 2018

An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions.
SIAM J. Numer. Anal., 2018

Numerical Analysis of Nonlinear Subdiffusion Equations.
SIAM J. Numer. Anal., 2018

On Stokes-Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes-Darcy Model.
SIAM J. Numer. Anal., 2018

Time Discretization of a Tempered Fractional Feynman-Kac Equation with Measure Data.
SIAM J. Numer. Anal., 2018

Discrete maximal regularity of time-stepping schemes for fractional evolution equations.
Numerische Mathematik, 2018

Boundary Problems for the Fractional and Tempered Fractional Operators.
Multiscale Model. Simul., 2018

Runge-Kutta Time Discretization of Nonlinear Parabolic Equations Studied via Discrete Maximal Parabolic Regularity.
Found. Comput. Math., 2018

2017
Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations.
SIAM J. Sci. Comput., 2017

Maximal Regularity of Fully Discrete Finite Element Solutions of Parabolic Equations.
SIAM J. Numer. Anal., 2017

Convergence of finite elements on an evolving surface driven by diffusion on the surface.
Numerische Mathematik, 2017

Stability and convergence of fully discrete Galerkin FEMs for the nonlinear thermistor equations in a nonconvex polygon.
Numerische Mathematik, 2017

Mathematical and numerical analysis of the time-dependent Ginzburg-Landau equations in nonconvex polygons based on Hodge decomposition.
Math. Comput., 2017

Maximal L<sup>p</sup> analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra.
Math. Comput., 2017

Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations.
Math. Comput., 2017

A new multigrid method for unconstrained parabolic optimal control problems.
J. Comput. Appl. Math., 2017

2016
A-Stable Time Discretizations Preserve Maximal Parabolic Regularity.
SIAM J. Numer. Anal., 2016

2015
A Fast and Stable Preconditioned Iterative Method for Optimal Control Problem of Wave Equations.
SIAM J. Sci. Comput., 2015

Regularity of the Diffusion-Dispersion Tensor and Error Analysis of Galerkin FEMs for a Porous Medium Flow.
SIAM J. Numer. Anal., 2015

Maximum-norm stability and maximal L<sup>p</sup> regularity of FEMs for parabolic equations with Lipschitz continuous coefficients.
Numerische Mathematik, 2015

A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations.
J. Comput. Phys., 2015

A numerical study on the stability of a class of Helmholtz problems.
J. Comput. Phys., 2015

2014
Linearized FE Approximations to a Nonlinear Gradient Flow.
SIAM J. Numer. Anal., 2014

Unconditionally Optimal Error Estimates of a Crank-Nicolson Galerkin Method for the Nonlinear Thermistor Equations.
SIAM J. Numer. Anal., 2014

Optimal Error Estimates of Linearized Crank-Nicolson Galerkin FEMs for the Time-Dependent Ginzburg-Landau Equations in Superconductivity.
SIAM J. Numer. Anal., 2014

2013
Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media.
SIAM J. Numer. Anal., 2013

Error Estimates of Splitting Galerkin Methods for Heat and Sweat Transport in Textile Materials.
SIAM J. Numer. Anal., 2013

2012
Global Weak Solution for a Heat and Sweat Transport System in Three-Dimensional Fibrous Porous Media with Condensation/Evaporation and Absorption.
SIAM J. Math. Anal., 2012

2010
Global Existence of Weak Solution for Nonisothermal Multicomponent Flow in Porous Textile Media.
SIAM J. Math. Anal., 2010


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