B-spline-based ALE-MFS framework for evolving domains
Muhammad Ammad; Leevan Ling; Shu Ma
Preprint · Submitted to Journal of Computational Physics (JCP)
Publications
Research publications
Authors are listed alphabetically by surname.
2026
Preprints
2025
Optimal analysis of finite element methods for the stochastic Stokes equations
Buyang Li; Shu Ma; Weiwei Sun
Mathematics of Computation, 94(352), 551–583
Journal ·
Optimal convergence of the arbitrary Lagrangian–Eulerian interface tracking method for two-phase Navier–Stokes flow without surface tension
Buyang Li; Shu Ma; Weifeng Qiu
IMA Journal of Numerical Analysis, 46(1)
Journal ·
2024
Error analysis with polynomial dependence on ε⁻¹ in SAV methods for the Cahn–Hilliard equation
Shu Ma; Weifeng Qiu; Xiaofeng Yang
Journal of Scientific Computing, 101(3)
Journal ·
2023
An exponential spectral method using VP means for semilinear subdiffusion equations with rough data
Buyang Li; Yanping Lin; Shu Ma; Qiqi Rao
SIAM Journal on Numerical Analysis, 61(5), 2305–2326
Journal ·
Mass- and energy-conserving Gauss collocation methods for the nonlinear Schrödinger equation with a wave operator
Shu Ma; Jilu Wang; Mingyan Zhang; Zhimin Zhang
Advances in Computational Mathematics, 49(6)
Journal ·
2022
A semi-implicit exponential low-regularity integrator for the Navier–Stokes equations
Buyang Li; Shu Ma; Katharina Schratz
SIAM Journal on Numerical Analysis, 60(4), 2273–2292
Journal ·
Exponential convolution quadrature for nonlinear subdiffusion equations with nonsmooth initial data
Buyang Li; Shu Ma
SIAM Journal on Numerical Analysis, 60(2), 503–528
Journal ·
Analysis of fully discrete finite element methods for 2D Navier–Stokes equations with critical initial data
Buyang Li; Shu Ma; Yuki Ueda
ESAIM: Mathematical Modelling and Numerical Analysis, 56(6)
Journal ·
Stable numerical methods for a stochastic nonlinear Schrödinger equation with linear multiplicative noise
Xiaobing Feng; Shu Ma
Discrete and Continuous Dynamical Systems – Series S, 15(4)
Journal ·
2021
High-order mass- and energy-conserving SAV–Gauss collocation finite element methods for the nonlinear Schrödinger equation
Xiaobing Feng; Buyang Li; Shu Ma
SIAM Journal on Numerical Analysis, 59(3), 1566–1591
Journal ·
A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data
Buyang Li; Shu Ma
Journal of Scientific Computing, 87(1)
Journal ·
Second-order convergence of the linearly extrapolated Crank–Nicolson method for the Navier–Stokes equations with H¹ initial data
Buyang Li; Shu Ma; Na Wang
Journal of Scientific Computing, 88(3)
Journal ·
2019
Mass- and energy-conserved numerical schemes for nonlinear Schrödinger equations
Xiaobing Feng; Hailiang Liu; Shu Ma
Communications in Computational Physics, 26(5)
Journal ·