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2020 – today
- 2025
[j62]Jiliang Cao, Wansheng Wang
, Aiguo Xiao:
Adaptive fast L1 - 2 scheme for solving time fractional parabolic problems. Comput. Math. Appl. 179: 59-76 (2025)- 2024
- [j61]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: 109071 (2024) - [j60]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): 407-431 (2024) - [j59]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: 115650 (2024) - [j58]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: 115963 (2024) - [j57]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: 116085 (2024) - [i2]Xingwei Hu, Xinjie Dai, Aiguo Xiao:
A positivity-preserving truncated Euler-Maruyama method for stochastic differential equations with positive solutions: multi-dimensional case. CoRR abs/2412.20988 (2024) - 2023
- [j56]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) - [j55]Huayu Tang, Xinjie Dai, Mengjie Wang, Aiguo Xiao:
Singular stochastic Volterra integral equations with Mittag-Leffler kernels: well-posedness and strong convergence of θ-Maruyama method. Int. J. Comput. Math. 100(6): 1321-1339 (2023) - [j54]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): 1561-1596 (2023) - [j53]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): 753-774 (2023) - [i1]Jiliang Cao, Wansheng Wang, Aiguo Xiao:
Optimal L∞(L2) and L1(L2) a posteriori error estimates for the fully discrete approximations of time fractional parabolic differential equations. CoRR abs/2311.06711 (2023) - 2022
- [j52]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): 98 (2022) - 2021
- [j51]Xinjie Dai, Aiguo Xiao:
A note on Euler method for the overdamped generalized Langevin equation with fractional noise. Appl. Math. Lett. 111: 106669 (2021) - [j50]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): 1218-1232 (2021) - [j49]Dongling Wang, Aiguo Xiao, Suzhen Sun:
Asymptotic behavior of solutions to time fractional neutral functional differential equations. J. Comput. Appl. Math. 382: 113086 (2021) - [j48]Xue-Yang Li, Aiguo Xiao:
Space-Fractional Diffusion Equation with Variable Coefficients: Well-posedness and Fourier Pseudospectral Approximation. J. Sci. Comput. 87(1): 28 (2021) - [j47]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): 1965-1988 (2021) - 2020
- [j46]Jiao Wen, Aiguo Xiao, Chengming Huang:
Highly stable multistep Runge-Kutta methods for Volterra integral equations. Comput. Appl. Math. 39(4) (2020) - [j45]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): 2050016 (2020) - [j44]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): 48 (2020) - [j43]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): 13 (2020) - [j42]Xiao Tang, Aiguo Xiao:
Improved Runge-Kutta-Chebyshev methods. Math. Comput. Simul. 174: 59-75 (2020)
2010 – 2019
- 2019
- [j41]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): 813-846 (2019) - [j40]Jun-jie Wang, Aiguo Xiao:
Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations. Appl. Math. Comput. 350: 348-365 (2019) - [j39]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: 40-45 (2019) - [j38]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): 1367-1379 (2019) - [j37]Xinjie Dai, Weiping Bu, Aiguo Xiao:
Well-posedness and EM approximations for non-Lipschitz stochastic fractional integro-differential equations. J. Comput. Appl. Math. 356: 377-390 (2019) - [j36]Yingzi Chen, Aiguo Xiao, Wansheng Wang:
Numerical solutions of SDEs with Markovian switching and jumps under non-Lipschitz conditions. J. Comput. Appl. Math. 360: 41-54 (2019) - [j35]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): 529-545 (2019) - [j34]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): 593-604 (2019) - 2018
- [j33]Jun-jie Wang, Aiguo Xiao:
An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations. Appl. Math. Comput. 320: 691-709 (2018) - [j32]Yunqing Huang, Xueyang Li, Aiguo Xiao:
Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation. Comput. Math. Appl. 75(12): 4241-4255 (2018) - [j31]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): 2496-2510 (2018) - 2017
- [j30]Weiping Bu, Aiguo Xiao, Wei Zeng:
Finite Difference/Finite Element Methods for Distributed-Order Time Fractional Diffusion Equations. J. Sci. Comput. 72(1): 422-441 (2017) - 2016
- [j29]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): 2106-2123 (2016) - [j28]Gengen Zhang, Aiguo Xiao, Wansheng Wang:
The asymptotic behaviour of the θ-methods with constant stepsize for the generalized pantograph equation. Int. J. Comput. Math. 93(9): 1484-1504 (2016) - [j27]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): 1964-1983 (2016) - [j26]Aiguo Xiao, Xiao Tang:
High strong order stochastic Runge-Kutta methods for Stratonovich stochastic differential equations with scalar noise. Numer. Algorithms 72(2): 259-296 (2016) - 2015
- [j25]Dongling Wang, Aiguo Xiao, Wei Yang:
Maximum-norm error analysis of a difference scheme for the space fractional CNLS. Appl. Math. Comput. 257: 241-251 (2015) - 2014
- [j24]Aiguo Xiao, Gengen Zhang, Xing Yi:
Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems. Appl. Math. Comput. 247: 47-60 (2014) - [j23]Xueyang Li, Aiguo Xiao:
The improved Hagedorn wavepacket method for semiclassical Schrödinger equation. Int. J. Model. Simul. Sci. Comput. 5(4): 1450013 (2014) - [j22]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: 536030:1-536030:11 (2014) - [j21]Siqing Gan, Aiguo Xiao, Desheng Wang:
Stability of analytical and numerical solutions of nonlinear stochastic delay differential equations. J. Comput. Appl. Math. 268: 5-22 (2014) - [j20]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: 146-161 (2014) - [j19]Dongling Wang, Aiguo Xiao, Wei Yang:
A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations. J. Comput. Phys. 272: 644-655 (2014) - 2013
- [j18]Dongling Wang, Aiguo Xiao:
Fractional variational integrators for fractional Euler-Lagrange equations with holonomic constraints. Commun. Nonlinear Sci. Numer. Simul. 18(4): 905-914 (2013) - [j17]Dongling Wang, Aiguo Xiao, Xueyang Li:
Parametric symplectic partitioned Runge-Kutta methods with energy-preserving properties for Hamiltonian systems. Comput. Phys. Commun. 184(2): 303-310 (2013) - [j16]Yongxiang Zhao, Aiguo Xiao, Li Li:
Input-to-State Stability of Singularly Perturbed Control Systems with Delays. J. Appl. Math. 2013: 401572:1-401572:8 (2013) - [j15]Hongliang Liu, Aiguo Xiao, Lihong Su:
Convergence of Variational Iteration Method for Second-Order Delay Differential Equations. J. Appl. Math. 2013: 634670:1-634670:9 (2013) - [j14]Shuiping Yang, Aiguo Xiao:
Cubic Spline Collocation Method for Fractional Differential Equations. J. Appl. Math. 2013: 864025:1-864025:20 (2013) - [j13]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: 670-681 (2013) - 2011
- [j12]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): 6219-6229 (2011) - [j11]Shuiping Yang, Aiguo Xiao:
Convergence of the variational iteration method for solving multi-delay differential equations. Comput. Math. Appl. 61(8): 2148-2151 (2011) - 2010
- [j10]Shuiping Yang, Aiguo Xiao, Hong Su:
Convergence of the variational iteration method for solving multi-order fractional differential equations. Comput. Math. Appl. 60(10): 2871-2879 (2010) - [j9]Yongxiang Zhao, Aiguo Xiao:
Variational iteration method for singular perturbation initial value problems. Comput. Phys. Commun. 181(5): 947-956 (2010) - [j8]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): 1905-1914 (2010)
2000 – 2009
- 2009
- [j7]Aiguo Xiao, Yongxiang Zhao:
Convergence of parallel multistep hybrid methods for singular perturbation problems. Appl. Math. Comput. 215(6): 2139-2148 (2009) - 2008
- [j6]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): 181-199 (2008) - 2007
- [j5]Jialan Liu, Aiguo Xiao:
Convergence results of two-step W-methods for two-parameter singular perturbation problems. Appl. Math. Comput. 189(1): 669-681 (2007) - [j4]Aiguo Xiao:
Error analysis of variable stepsize Runge-Kutta methods for a class of multiply-stiff singular perturbation problems. Comput. Math. Appl. 53(12): 1854-1866 (2007) - 2006
- [j3]Aiguo Xiao, Yifa Tang:
Equilibrium attractive properties of a class of multistep Runge-Kutta methods. Appl. Math. Comput. 173(2): 1068-1081 (2006) - 2001
- [j2]Aiguo Xiao, Chengming Huang, Siqing Gan:
Convergence Results of One-Leg and Linear Multistep Methods for Multiply Stiff Singular Perturbation Problems. Computing 66(4): 365-375 (2001) - 2000
- [j1]Aiguo Xiao, Shoufu Li:
short communication: Error of Partitioned Runge-Kutta Methods for Multiple Stiff Singular Perturbation Problems. Computing 64(2): 183-189 (2000)
Coauthor Index
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