Aiguo Xiao

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 37

Top Topics

Numerical Solution

Error Estimates

Finite Element Method

Asymptotically Optimal

Top Venues

J. Comput. Appl. Math.

Int. J. Comput. Math.

Numer. Algorithms

J. Sci. Comput.

Publications

Xingwei Hu, Mengjie Wang, Xinjie Dai, Yanyan Yu, Aiguo Xiao
A positivity preserving Milstein-type method for stochastic differential equations with positive solutions. J. Comput. Appl. Math. 449 (2024)
Wei Zeng, Jiawei He, Aiguo Xiao
A space-time Galerkin Müntz spectral method for the time fractional Fokker-Planck equation. Int. J. Comput. Math. 101 (4) (2024)
Jiliang Cao, Wansheng Wang, Aiguo Xiao
Sharp analysis of L1-2 method on graded mesh for time fractional parabolic differential equation. Appl. Math. Lett. 153 (2024)
Qian Luo, Aiguo Xiao, Xiaoqiang Yan, Guidong Liu
A class of polynomial approximation methods to second-order delay differential equations. J. Comput. Appl. Math. 451 (2024)
Xiaoqiang Yan, Shi Chen, Aiguo Xiao, Huiru Wang
The extended block generalized Störmer-Cowell methods for second-order nonlinear delay-differential-algebraic equations with index-1. J. Comput. Appl. Math. 440 (2024)
Huayu Tang, Xinjie Dai, Mengjie Wang, Aiguo Xiao
-Maruyama method. Int. J. Comput. Math. 100 (6) (2023)
Mengjie Wang, Xinjie Dai, Yanyan Yu, Aiguo Xiao
Fast $$\theta $$-Maruyama scheme for stochastic Volterra integral equations of convolution type: mean-square stability and strong convergence analysis. Comput. Appl. Math. 42 (3) (2023)
Jiliang Cao, Wansheng Wang, Aiguo Xiao
) a posteriori error estimates for the fully discrete approximations of time fractional parabolic differential equations. CoRR (2023)
Bi-Yun Zhu, Aiguo Xiao, Xue-Yang Li
An efficient numerical method on modified space-time sparse grid for time-fractional diffusion equation with nonsmooth data. Numer. Algorithms 94 (4) (2023)
Yin Yang, Aiguo Xiao
Dissipativity and contractivity of the second-order averaged L1 method for fractional Volterra functional differential equations. Networks Heterog. Media 18 (2) (2023)
Tan Tan, Weiping Bu, Aiguo Xiao
L1 Method on Nonuniform Meshes for Linear Time-Fractional Diffusion Equations with Constant Time Delay. J. Sci. Comput. 92 (3) (2022)
Xue-Yang Li, Aiguo Xiao
Space-Fractional Diffusion Equation with Variable Coefficients: Well-posedness and Fourier Pseudospectral Approximation. J. Sci. Comput. 87 (1) (2021)
Xueyang Li, Aiguo Xiao
Fourier spectral method on sparse grids for computing ground state of many-particle fractional Schrödinger equations. Int. J. Comput. Math. 98 (6) (2021)
Dongling Wang, Aiguo Xiao, Suzhen Sun
Asymptotic behavior of solutions to time fractional neutral functional differential equations. J. Comput. Appl. Math. 382 (2021)
Xinjie Dai, Aiguo Xiao
A note on Euler method for the overdamped generalized Langevin equation with fractional noise. Appl. Math. Lett. 111 (2021)
Biao Zhang, Weiping Bu, Aiguo Xiao
Efficient difference method for time-space fractional diffusion equation with Robin fractional derivative boundary condition. Numer. Algorithms 88 (4) (2021)
Yaping Zhang, Jiliang Cao, Weiping Bu, Aiguo Xiao
A fast finite difference/finite element method for the two-dimensional distributed-order time-space fractional reaction-diffusion equation. Int. J. Model. Simul. Sci. Comput. 11 (2) (2020)
Wansheng Wang, Lijun Yi, Aiguo Xiao
A Posteriori Error Estimates for Fully Discrete Finite Element Method for Generalized Diffusion Equation with Delay. J. Sci. Comput. 84 (1) (2020)
Jiliang Cao, Aiguo Xiao, Weiping Bu
Finite Difference/Finite Element Method for Tempered Time Fractional Advection-Dispersion Equation with Fast Evaluation of Caputo Derivative. J. Sci. Comput. 83 (3) (2020)
Xiao Tang, Aiguo Xiao
Improved Runge-Kutta-Chebyshev methods. Math. Comput. Simul. 174 (2020)
Jiao Wen, Aiguo Xiao, Chengming Huang
Highly stable multistep Runge-Kutta methods for Volterra integral equations. Comput. Appl. Math. 39 (4) (2020)
Xiao Tang, Aiguo Xiao
New explicit stabilized stochastic Runge-Kutta methods with weak second order for stiff Itô stochastic differential equations. Numer. Algorithms 82 (2) (2019)
Weiping Bu, Shi Shu, Xiaoqiang Yue, Aiguo Xiao, Wei Zeng
Space-time finite element method for the multi-term time-space fractional diffusion equation on a two-dimensional domain. Comput. Math. Appl. 78 (5) (2019)
Jun-jie Wang, Aiguo Xiao
Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations. Appl. Math. Comput. 350 (2019)
Weiping Bu, Aiguo Xiao
An h-p version of the continuous Petrov-Galerkin finite element method for Riemann-Liouville fractional differential equation with novel test basis functions. Numer. Algorithms 81 (2) (2019)
Xiao Tang, Aiguo Xiao
Asymptotically optimal approximation of some stochastic integrals and its applications to the strong second-order methods. Adv. Comput. Math. 45 (2) (2019)
Yingzi Chen, Aiguo Xiao, Wansheng Wang
Numerical solutions of SDEs with Markovian switching and jumps under non-Lipschitz conditions. J. Comput. Appl. Math. 360 (2019)
Wei Zeng, Aiguo Xiao, Xueyang Li
Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg-Landau equations. Appl. Math. Lett. 93 (2019)
Xinjie Dai, Weiping Bu, Aiguo Xiao
Well-posedness and EM approximations for non-Lipschitz stochastic fractional integro-differential equations. J. Comput. Appl. Math. 356 (2019)
Gengen Zhang, Aiguo Xiao, Jie Zhou
Implicit-explicit multistep finite-element methods for nonlinear convection-diffusion-reaction equations with time delay. Int. J. Comput. Math. 95 (12) (2018)
Yunqing Huang, Xueyang Li, Aiguo Xiao
Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation. Comput. Math. Appl. 75 (12) (2018)
Jun-jie Wang, Aiguo Xiao
An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations. Appl. Math. Comput. 320 (2018)
Weiping Bu, Aiguo Xiao, Wei Zeng
Finite Difference/Finite Element Methods for Distributed-Order Time Fractional Diffusion Equations. J. Sci. Comput. 72 (1) (2017)
Gengen Zhang, Aiguo Xiao
Stability and convergence analysis of implicit-explicit one-leg methods for stiff delay differential equations. Int. J. Comput. Math. 93 (11) (2016)
Aiguo Xiao, Gengen Zhang, Jie Zhou
Implicit-explicit time discretization coupled with finite element methods for delayed predator-prey competition reaction-diffusion system. Comput. Math. Appl. 71 (10) (2016)
Aiguo Xiao, Xiao Tang
High strong order stochastic Runge-Kutta methods for Stratonovich stochastic differential equations with scalar noise. Numer. Algorithms 72 (2) (2016)
Gengen Zhang, Aiguo Xiao, Wansheng Wang
-methods with constant stepsize for the generalized pantograph equation. Int. J. Comput. Math. 93 (9) (2016)
Dongling Wang, Aiguo Xiao, Wei Yang
Maximum-norm error analysis of a difference scheme for the space fractional CNLS. Appl. Math. Comput. 257 (2015)
Dongling Wang, Aiguo Xiao, Wei Yang
A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations. J. Comput. Phys. 272 (2014)
Zhi Mao, Aiguo Xiao, Zu-Guo Yu, Long Shi
Finite Difference and Sinc-Collocation Approximations to a Class of Fractional Diffusion-Wave Equations. J. Appl. Math. 2014 (2014)
Aiguo Xiao, Gengen Zhang, Xing Yi
Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems. Appl. Math. Comput. 247 (2014)
Siqing Gan, Aiguo Xiao, Desheng Wang
Stability of analytical and numerical solutions of nonlinear stochastic delay differential equations. J. Comput. Appl. Math. 268 (2014)
Xueyang Li, Aiguo Xiao
Time-splitting finite difference method with the wavelet-adaptive grids for semiclassical Gross-Pitaevskii equation in supercritical case. J. Comput. Phys. 267 (2014)
Xueyang Li, Aiguo Xiao
The improved Hagedorn wavepacket method for semiclassical Schrödinger equation. Int. J. Model. Simul. Sci. Comput. 5 (4) (2014)
Dongling Wang, Aiguo Xiao, Wei Yang
Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative. J. Comput. Phys. 242 (2013)
Dongling Wang, Aiguo Xiao
Fractional variational integrators for fractional Euler-Lagrange equations with holonomic constraints. Commun. Nonlinear Sci. Numer. Simul. 18 (4) (2013)
Yongxiang Zhao, Aiguo Xiao, Li Li
Input-to-State Stability of Singularly Perturbed Control Systems with Delays. J. Appl. Math. 2013 (2013)
Dongling Wang, Aiguo Xiao, Xueyang Li
Parametric symplectic partitioned Runge-Kutta methods with energy-preserving properties for Hamiltonian systems. Comput. Phys. Commun. 184 (2) (2013)
Hongliang Liu, Aiguo Xiao, Lihong Su
Convergence of Variational Iteration Method for Second-Order Delay Differential Equations. J. Appl. Math. 2013 (2013)
Shuiping Yang, Aiguo Xiao
Cubic Spline Collocation Method for Fractional Differential Equations. J. Appl. Math. 2013 (2013)
Shuiping Yang, Jianxin Wu, Min Li, Aiguo Xiao
Generations and mechanisms of multi-stripe chaotic attractors of fractional order dynamic system. Appl. Math. Comput. 217 (13) (2011)
Shuiping Yang, Aiguo Xiao
Convergence of the variational iteration method for solving multi-delay differential equations. Comput. Math. Appl. 61 (8) (2011)
Shuiping Yang, Aiguo Xiao, Hong Su
Convergence of the variational iteration method for solving multi-order fractional differential equations. Comput. Math. Appl. 60 (10) (2010)
Zhiqing Ding, Aiguo Xiao, Min Li
Weighted finite difference methods for a class of space fractional partial differential equations with variable coefficients. J. Comput. Appl. Math. 233 (8) (2010)
Yongxiang Zhao, Aiguo Xiao
Variational iteration method for singular perturbation initial value problems. Comput. Phys. Commun. 181 (5) (2010)
Aiguo Xiao, Yongxiang Zhao
Convergence of parallel multistep hybrid methods for singular perturbation problems. Appl. Math. Comput. 215 (6) (2009)
Aiguo Xiao, Jialan Liu
Error analysis of Parallel Multivalue Hybrid Methods for index-2 Differential-Algebraic Equations. Int. J. Comput. Sci. Math. 2 (1/2) (2008)
Jialan Liu, Aiguo Xiao
Convergence results of two-step W-methods for two-parameter singular perturbation problems. Appl. Math. Comput. 189 (1) (2007)
Aiguo Xiao
Error analysis of variable stepsize Runge-Kutta methods for a class of multiply-stiff singular perturbation problems. Comput. Math. Appl. 53 (12) (2007)
Aiguo Xiao, Yifa Tang
Equilibrium attractive properties of a class of multistep Runge-Kutta methods. Appl. Math. Comput. 173 (2) (2006)
Aiguo Xiao, Chengming Huang, Siqing Gan
Convergence Results of One-Leg and Linear Multistep Methods for Multiply Stiff Singular Perturbation Problems. Computing 66 (4) (2001)
Aiguo Xiao, Shoufu Li
short communication: Error of Partitioned Runge-Kutta Methods for Multiple Stiff Singular Perturbation Problems. Computing 64 (2) (2000)