short communication: Error of Partitioned Runge-Kutta Methods for Multiple Stiff Singular Perturbation Problems. - Aiguo Xiao; Shoufu Li (Computing, 2000)

Convergence Results of One-Leg and Linear Multistep Methods for Multiply Stiff Singular Perturbation Problems. - Aiguo Xiao; Chengming Huang; Siqing Gan (Computing, 2001)

Equilibrium attractive properties of a class of multistep Runge-Kutta methods. - Aiguo Xiao; Yifa Tang (Appl. Math. Comput., 2006)

Convergence results of two-step W-methods for two-parameter singular perturbation problems. - Jialan Liu; Aiguo Xiao (Appl. Math. Comput., 2007)

Error analysis of variable stepsize Runge-Kutta methods for a class of multiply-stiff singular perturbation problems. - Aiguo Xiao (Comput. Math. Appl., 2007)

Error analysis of Parallel Multivalue Hybrid Methods for index-2 Differential-Algebraic Equations. - Aiguo Xiao; Jialan Liu (Int. J. Comput. Sci. Math., 2008)

Convergence of parallel multistep hybrid methods for singular perturbation problems. - Aiguo Xiao; Yongxiang Zhao (Appl. Math. Comput., 2009)

Convergence of the variational iteration method for solving multi-order fractional differential equations. - Shuiping Yang; Aiguo Xiao; Hong Su (Comput. Math. Appl., 2010)

Variational iteration method for singular perturbation initial value problems. - Yongxiang Zhao; Aiguo Xiao (Comput. Phys. Commun., 2010)

Weighted finite difference methods for a class of space fractional partial differential equations with variable coefficients. - Zhiqing Ding; Aiguo Xiao; Min Li (J. Comput. Appl. Math., 2010)

Generations and mechanisms of multi-stripe chaotic attractors of fractional order dynamic system. - Shuiping Yang; Jianxin Wu; Min Li; Aiguo Xiao (Appl. Math. Comput., 2011)

Convergence of the variational iteration method for solving multi-delay differential equations. - Shuiping Yang; Aiguo Xiao (Comput. Math. Appl., 2011)

Fractional variational integrators for fractional Euler-Lagrange equations with holonomic constraints. - Dongling Wang; Aiguo Xiao (Commun. Nonlinear Sci. Numer. Simul., 2013)

Parametric symplectic partitioned Runge-Kutta methods with energy-preserving properties for Hamiltonian systems. - Dongling Wang; Aiguo Xiao; Xueyang Li (Comput. Phys. Commun., 2013)

Convergence of Variational Iteration Method for Second-Order Delay Differential Equations. - Hongliang Liu; Aiguo Xiao; Lihong Su (J. Appl. Math., 2013)

Cubic Spline Collocation Method for Fractional Differential Equations. - Shuiping Yang; Aiguo Xiao (J. Appl. Math., 2013)

Input-to-State Stability of Singularly Perturbed Control Systems with Delays. - Yongxiang Zhao; Aiguo Xiao; Li Li (J. Appl. Math., 2013)

Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative. - Dongling Wang; Aiguo Xiao; Wei Yang 018 (J. Comput. Phys., 2013)

Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems. - Aiguo Xiao; Gengen Zhang; Xing Yi (Appl. Math. Comput., 2014)

The improved Hagedorn wavepacket method for semiclassical Schrödinger equation. - Xueyang Li; Aiguo Xiao (Int. J. Model. Simul. Sci. Comput., 2014)

Finite Difference and Sinc-Collocation Approximations to a Class of Fractional Diffusion-Wave Equations. - Zhi Mao; Aiguo Xiao; Zu-Guo Yu; Long Shi (J. Appl. Math., 2014)

Stability of analytical and numerical solutions of nonlinear stochastic delay differential equations. - Siqing Gan; Aiguo Xiao; Desheng Wang (J. Comput. Appl. Math., 2014)

Time-splitting finite difference method with the wavelet-adaptive grids for semiclassical Gross-Pitaevskii equation in supercritical case. - Xueyang Li; Aiguo Xiao (J. Comput. Phys., 2014)

A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations. - Dongling Wang; Aiguo Xiao; Wei Yang 018 (J. Comput. Phys., 2014)

Maximum-norm error analysis of a difference scheme for the space fractional CNLS. - Dongling Wang; Aiguo Xiao; Wei Yang 018 (Appl. Math. Comput., 2015)

Implicit-explicit time discretization coupled with finite element methods for delayed predator-prey competition reaction-diffusion system. - Aiguo Xiao; Gengen Zhang; Jie Zhou (Comput. Math. Appl., 2016)

Stability and convergence analysis of implicit-explicit one-leg methods for stiff delay differential equations. - Gengen Zhang; Aiguo Xiao (Int. J. Comput. Math., 2016)

The asymptotic behaviour of the θ-methods with constant stepsize for the generalized pantograph equation. - Gengen Zhang; Aiguo Xiao; Wansheng Wang (Int. J. Comput. Math., 2016)

High strong order stochastic Runge-Kutta methods for Stratonovich stochastic differential equations with scalar noise. - Aiguo Xiao; Xiao Tang (Numer. Algorithms, 2016)

Finite Difference/Finite Element Methods for Distributed-Order Time Fractional Diffusion Equations. - Weiping Bu; Aiguo Xiao; Wei Zeng (J. Sci. Comput., 2017)

An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations. - Jun-jie Wang; Aiguo Xiao (Appl. Math. Comput., 2018)

Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation. - Yunqing Huang; Xueyang Li; Aiguo Xiao (Comput. Math. Appl., 2018)

Implicit-explicit multistep finite-element methods for nonlinear convection-diffusion-reaction equations with time delay. - Gengen Zhang; Aiguo Xiao; Jie Zhou (Int. J. Comput. Math., 2018)

Asymptotically optimal approximation of some stochastic integrals and its applications to the strong second-order methods. - Xiao Tang; Aiguo Xiao (Adv. Comput. Math., 2019)

Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations. - Jun-jie Wang; Aiguo Xiao (Appl. Math. Comput., 2019)

Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg-Landau equations. - Wei Zeng; Aiguo Xiao; Xueyang Li (Appl. Math. Lett., 2019)

Space-time finite element method for the multi-term time-space fractional diffusion equation on a two-dimensional domain. - Weiping Bu; Shi Shu; Xiaoqiang Yue; Aiguo Xiao; Wei Zeng (Comput. Math. Appl., 2019)

Numerical solutions of SDEs with Markovian switching and jumps under non-Lipschitz conditions. - Yingzi Chen; Aiguo Xiao; Wansheng Wang (J. Comput. Appl. Math., 2019)

Well-posedness and EM approximations for non-Lipschitz stochastic fractional integro-differential equations. - Xinjie Dai; Weiping Bu; Aiguo Xiao (J. Comput. Appl. Math., 2019)

An h-p version of the continuous Petrov-Galerkin finite element method for Riemann-Liouville fractional differential equation with novel test basis functions. - Weiping Bu; Aiguo Xiao (Numer. Algorithms, 2019)

New explicit stabilized stochastic Runge-Kutta methods with weak second order for stiff Itô stochastic differential equations. - Xiao Tang; Aiguo Xiao (Numer. Algorithms, 2019)

Highly stable multistep Runge-Kutta methods for Volterra integral equations. - Jiao Wen; Aiguo Xiao; Chengming Huang (Comput. Appl. Math., 2020)

A fast finite difference/finite element method for the two-dimensional distributed-order time-space fractional reaction-diffusion equation. - Yaping Zhang; Jiliang Cao; Weiping Bu; Aiguo Xiao (Int. J. Model. Simul. Sci. Comput., 2020)

Finite Difference/Finite Element Method for Tempered Time Fractional Advection-Dispersion Equation with Fast Evaluation of Caputo Derivative. - Jiliang Cao; Aiguo Xiao; Weiping Bu (J. Sci. Comput., 2020)

A Posteriori Error Estimates for Fully Discrete Finite Element Method for Generalized Diffusion Equation with Delay. - Wansheng Wang; Lijun Yi; Aiguo Xiao (J. Sci. Comput., 2020)

Improved Runge-Kutta-Chebyshev methods. - Xiao Tang; Aiguo Xiao (Math. Comput. Simul., 2020)

A note on Euler method for the overdamped generalized Langevin equation with fractional noise. - Xinjie Dai; Aiguo Xiao (Appl. Math. Lett., 2021)

Fourier spectral method on sparse grids for computing ground state of many-particle fractional Schrödinger equations. - Xueyang Li; Aiguo Xiao (Int. J. Comput. Math., 2021)

Asymptotic behavior of solutions to time fractional neutral functional differential equations. - Dongling Wang; Aiguo Xiao; Suzhen Sun (J. Comput. Appl. Math., 2021)

Space-Fractional Diffusion Equation with Variable Coefficients: Well-posedness and Fourier Pseudospectral Approximation. - Xue-Yang Li; Aiguo Xiao (J. Sci. Comput., 2021)

Efficient difference method for time-space fractional diffusion equation with Robin fractional derivative boundary condition. - Biao Zhang; Weiping Bu; Aiguo Xiao (Numer. Algorithms, 2021)

L1 Method on Nonuniform Meshes for Linear Time-Fractional Diffusion Equations with Constant Time Delay. - Tan Tan 003; Weiping Bu; Aiguo Xiao (J. Sci. Comput., 2022)

Optimal L∞(L2) and L1(L2) a posteriori error estimates for the fully discrete approximations of time fractional parabolic differential equations. - Jiliang Cao; Wansheng Wang; Aiguo Xiao (CoRR, 2023)

Dissipativity and contractivity of the second-order averaged L1 method for fractional Volterra functional differential equations. - Yin Yang; Aiguo Xiao (Networks Heterog. Media, 2023)

Fast $$ theta $$-Maruyama scheme for stochastic Volterra integral equations of convolution type: mean-square stability and strong convergence analysis. - Mengjie Wang; Xinjie Dai; Yanyan Yu; Aiguo Xiao (Comput. Appl. Math., 2023)

Singular stochastic Volterra integral equations with Mittag-Leffler kernels: well-posedness and strong convergence of θ-Maruyama method. - Huayu Tang; Xinjie Dai; Mengjie Wang; Aiguo Xiao (Int. J. Comput. Math., 2023)

An efficient numerical method on modified space-time sparse grid for time-fractional diffusion equation with nonsmooth data. - Bi-Yun Zhu; Aiguo Xiao; Xue-Yang Li (Numer. Algorithms, 2023)

Sharp analysis of L1-2 method on graded mesh for time fractional parabolic differential equation. - Jiliang Cao; Wansheng Wang; Aiguo Xiao (Appl. Math. Lett., 2024)

A positivity-preserving truncated Euler-Maruyama method for stochastic differential equations with positive solutions: multi-dimensional case. - Xingwei Hu; Xinjie Dai; Aiguo Xiao (CoRR, 2024)

A space-time Galerkin Müntz spectral method for the time fractional Fokker-Planck equation. - Wei Zeng; Jiawei He; Aiguo Xiao (Int. J. Comput. Math., 2024)

A positivity preserving Milstein-type method for stochastic differential equations with positive solutions. - Xingwei Hu; Mengjie Wang; Xinjie Dai; Yanyan Yu; Aiguo Xiao (J. Comput. Appl. Math., 2024)

A class of polynomial approximation methods to second-order delay differential equations. - Qian Luo; Aiguo Xiao; Xiaoqiang Yan; Guidong Liu (J. Comput. Appl. Math., 2024)

The extended block generalized Störmer-Cowell methods for second-order nonlinear delay-differential-algebraic equations with index-1. - Xiaoqiang Yan; Shi Chen; Aiguo Xiao; Huiru Wang (J. Comput. Appl. Math., 2024)

Adaptive fast L1 - 2 scheme for solving time fractional parabolic problems. - Jiliang Cao; Wansheng Wang; Aiguo Xiao (Comput. Math. Appl., 2025)

Invariant-preserving schemes with arbitrarily high-order accuracy for the two-component Camassa-Holm system via Hamiltonian boundary value methods. - Qian Luo; Aiguo Xiao; Min Li; Xiaoqiang Yan (Commun. Nonlinear Sci. Numer. Simul., 2025)

The optimal strong convergence rates of the truncated EM and logarithmic truncated EM methods for multi-dimensional nonlinear stochastic differential equations. - Xingwei Hu; Xinjie Dai; Aiguo Xiao (CoRR, 2025)