## Xiao, Aiguo

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 Author ID: xiao.aiguo Published as: Xiao, Aiguo; Xiao, Ai-Guo; Xiao, Ai Guo; Xiao, Ai-guo; Xiao, A. more...less
 Documents Indexed: 135 Publications since 1992 Co-Authors: 68 Co-Authors with 117 Joint Publications 1,700 Co-Co-Authors
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### Co-Authors

 15 single-authored 12 Wang, Dongling 11 Zhang, Gengen 10 Bu, Weiping 8 Li, Xueyang 7 Li, Shoufu 7 Liu, Hongliang 7 Tang, Xiao 7 Wang, Junjie 7 Yang, Shuiping 7 Zhao, Yongxiang 6 Dai, Xinjie 6 Wang, Wansheng 5 Tang, Yifa 4 Fu, Hongyuan 4 Huang, Chengming 4 Zeng, Wei 3 Chen, Guangnan 3 Chen, Quanfa 3 Gan, Siqing 3 Liu, Jialan 3 Mao, Zhi 3 Wen, Zhiwu 3 Yang, Wei 3 Yu, Zuguo 2 Chen, Yingzi 2 Huang, Hailan 2 Shu, Shi 2 Wang, Chenxi 2 Wen, Liping 2 Yang, Min 2 Yi, Xing 2 Zhu, Qiao 1 Cao, Jiliang 1 Chang, Qianshun 1 Chen, Daxue 1 Chen, Guangman 1 Chen, Jingbo 1 Ding, Zhiqing 1 Fu, Yayun 1 Huang, Bin 1 Huang, Yunqing 1 Jiang, Hongyan 1 Li, Mingjun 1 Li, Shucun 1 Liu, Jiechun 1 Pan, Xinyuan 1 Peng, Jie 1 Su, Hong 1 Su, Lihong 1 Sun, Suzhen 1 Tan, Tan 1 Tang, Lei 1 Tang, Lingjuan 1 Wang, Desheng 1 Wang, Mengjie 1 Wen, Jiao 1 Wu, Jianxin 1 Xiao, Ye 1 Yan, Zhiping 1 Yang, Yin 1 Yang, Yuyue 1 Yue, Chao 1 Yue, Xiaoqiang 1 Zhang, Biao 1 Zhang, Chengjian 1 Zhang, Moyun 1 Zhu, Gang 1 Zhu, Ting
all top 5

### Serials

 14 Natural Science Journal of Xiangtan University 10 Computers & Mathematics with Applications 8 Applied Mathematics and Computation 8 Mathematica Numerica Sinica 8 Journal of Computational Mathematics 8 Applied Numerical Mathematics 7 Journal of Computational and Applied Mathematics 6 Numerical Mathematics 6 Advances in Applied Mathematics and Mechanics 5 Journal of Scientific Computing 4 Numerical Algorithms 4 International Journal of Computer Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Applied Mathematics 3 Journal of Computational Physics 3 Mathematica Applicata 2 Computer Physics Communications 2 Mathematical Methods in the Applied Sciences 2 Computing 2 Applied Mathematics Letters 2 Advances in Computational Mathematics 2 Mathematical Problems in Engineering 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 East Asian Journal on Applied Mathematics 1 Physica A 1 BIT 1 Mathematics and Computers in Simulation 1 Journal of Engineering Mathematics (Xi’an) 1 Acta Mathematicae Applicatae Sinica. English Series 1 Computational and Applied Mathematics 1 Chinese Journal of Numerical Mathematics and Applications 1 Nonlinear Dynamics 1 Fractional Calculus & Applied Analysis 1 Mathematical & Computational Applications 1 Journal of Jilin University. Science Edition 1 Journal of Statistical Mechanics: Theory and Experiment 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Frontiers of Mathematics in China 1 International Journal of Computing Science and Mathematics 1 Advances in Mathematical Physics 1 Chinese Journal of Engineering Mathematics
all top 5

### Fields

 122 Numerical analysis (65-XX) 64 Ordinary differential equations (34-XX) 28 Partial differential equations (35-XX) 16 Dynamical systems and ergodic theory (37-XX) 14 Probability theory and stochastic processes (60-XX) 6 Integral equations (45-XX) 3 Real functions (26-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Difference and functional equations (39-XX) 2 Systems theory; control (93-XX) 1 Special functions (33-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

84 Publications have been cited 625 times in 433 Documents Cited by Year
Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative. Zbl 1297.65100
Wang, Dongling; Xiao, Aiguo; Yang, Wei
2013
A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations. Zbl 1349.65339
Wang, Dongling; Xiao, Aiguo; Yang, Wei
2014
Maximum-norm error analysis of a difference scheme for the space fractional CNLS. Zbl 1339.65137
Wang, Dongling; Xiao, Aiguo; Yang, Wei
2015
Finite difference/finite element methods for distributed-order time fractional diffusion equations. Zbl 1375.65110
Bu, Weiping; Xiao, Aiguo; Zeng, Wei
2017
Convergence of the variational iteration method for solving multi-order fractional differential equations. Zbl 1207.65109
Yang, Shuiping; Xiao, Aiguo; Su, Hong
2010
Weighted finite difference methods for a class of space fractional partial differential equations with variable coefficients. Zbl 1185.65146
Ding, Zhiqing; Xiao, Aiguo; Li, Min
2010
Dissipativity and stability analysis for fractional functional differential equations. Zbl 1348.34136
Wang, Dongling; Xiao, Aiguo; Liu, Hongliang
2015
An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations. Zbl 1427.65189
Wang, Jun-jie; Xiao, Ai-guo
2018
Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations. Zbl 1429.65254
Wang, Junjie; Xiao, Aiguo
2019
Fractional variational integrators for fractional variational problems. Zbl 1239.49028
Wang, Dongling; Xiao, Aiguo
2012
Symplectic scheme for the Schrödinger equation with fractional Laplacian. Zbl 1423.81070
Xiao, Aiguo; Wang, Junjie
2019
Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg-Landau equations. Zbl 1414.65026
Zeng, Wei; Xiao, Aiguo; Li, Xueyang
2019
Stability of analytical and numerical solutions of nonlinear stochastic delay differential equations. Zbl 1293.65011
Gan, Siqing; Xiao, Aiguo; Wang, Desheng
2014
Dissipativity and contractivity for fractional-order systems. Zbl 1345.37086
Wang, Dongling; Xiao, Aiguo
2015
Strong convergence of the split-step theta method for neutral stochastic delay differential equations. Zbl 1370.65004
Yan, Zhiping; Xiao, Aiguo; Tang, Xiao
2017
An $$h$$-$$p$$ version of the continuous Petrov-Galerkin finite element method for Riemann-Liouville fractional differential equation with novel test basis functions. Zbl 1435.65194
Bu, Weiping; Xiao, Aiguo
2019
Convergence of the variational iteration method for solving multi-delay differential equations. Zbl 1219.65086
Yang, Shui-Ping; Xiao, Ai-Guo
2011
Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation. Zbl 1419.65079
Huang, Yunqing; Li, Xueyang; Xiao, Aiguo
2018
Well-posedness and EM approximations for non-Lipschitz stochastic fractional integro-differential equations. Zbl 07069144
Dai, Xinjie; Bu, Weiping; Xiao, Aiguo
2019
Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems. Zbl 1338.65179
Xiao, Aiguo; Zhang, Gengen; Yi, Xing
2014
Efficient weak second-order stochastic Runge-Kutta methods for Itô stochastic differential equations. Zbl 1359.60086
Tang, Xiao; Xiao, Aiguo
2017
Error of partitioned Runge-Kutta methods for multiple stiff singular perturbation problems. Zbl 0956.65057
Xiao, A.; Li, S.
2000
High strong order stochastic Runge-Kutta methods for Stratonovich stochastic differential equations with scalar noise. Zbl 1342.60116
Xiao, Aiguo; Tang, Xiao
2016
Parametric symplectic partitioned Runge-Kutta methods with energy-preserving properties for Hamiltonian systems. Zbl 1305.65240
Wang, Dongling; Xiao, Aiguo; Li, Xueyang
2013
Space-time fractional diffusion equations and asymptotic behaviors of a coupled continuous time random walk model. Zbl 1395.35198
Shi, Long; Yu, Zuguo; Mao, Zhi; Xiao, Aiguo; Huang, Hailan
2013
Convergence results of one-leg and linear multistep methods for multiply stiff singular perturbation problems. Zbl 1042.65063
Xiao, A.; Huang, C.; Gan, S.
2001
Convergence of linear multistep methods and one-leg methods for index-2 differential-algebraic equations with a variable delay. Zbl 1262.65093
Liu, Hongliang; Xiao, Aiguo
2012
Fractional variational integrators for fractional Euler-Lagrange equations with holonomic constraints. Zbl 1261.35149
Wang, Dongling; Xiao, Aiguo
2013
Stability and convergence analysis of implicit-explicit one-leg methods for stiff delay differential equations. Zbl 1355.65085
Zhang, Gengen; Xiao, Aiguo
2016
Asymptotically optimal approximation of some stochastic integrals and its applications to the strong second-order methods. Zbl 1415.60057
Tang, Xiao; Xiao, Aiguo
2019
Conservative linearly-implicit difference scheme for a class of modified Zakharov systems with high-order space fractional quantum correction. Zbl 1457.65065
Xiao, Aiguo; Wang, Chenxi; Wang, Junjie
2019
Space-time finite element method for the multi-term time-space fractional diffusion equation on a two-dimensional domain. Zbl 1442.65252
Bu, Weiping; Shu, Shi; Yue, Xiaoqiang; Xiao, Aiguo; Zeng, Wei
2019
Lévy-driven stochastic Volterra integral equations with doubly singular kernels: existence, uniqueness, and a fast EM method. Zbl 1457.60103
Dai, Xinjie; Xiao, Aiguo
2020
An IMEX-BDF2 compact scheme for pricing options under regime-switching jump-diffusion models. Zbl 1417.65150
Chen, Yingzi; Xiao, Aiguo; Wang, Wansheng
2019
On the order of $$B$$-convergence of Runge-Kutta methods. Zbl 0782.65097
Xiao, Aiguo
1992
Variational iteration method for singular perturbation initial value problems. Zbl 1205.65210
Zhao, Yongxiang; Xiao, Aiguo
2010
Convergence results of Runge-Kutta methods for multiply-stiff singular perturbation problems. Zbl 1019.65058
Xiao, Aiguo
2002
Long-time behavior of numerical solutions to nonlinear fractional ODEs. Zbl 1441.65059
Wang, Dongling; Xiao, Aiguo; Zou, Jun
2020
Regularity properties of general linear methods for initial value problems of ordinary differential equations. Zbl 0970.65082
Xiao, Aiguo; Fu, Hongyuan; Li, Shoufu; Chen, Guangnan
2000
Convergence of variational iteration method for second-order delay differential equations. Zbl 1266.65102
Liu, Hongliang; Xiao, Aiguo; Su, Lihong
2013
Time-splitting finite difference method with the wavelet-adaptive grids for semiclassical Gross-Pitaevskii equation in supercritical case. Zbl 1349.82033
Li, Xueyang; Xiao, Aiguo
2014
An efficient numerical method for fractional differential equations with two Caputo derivatives. Zbl 1363.65120
Yang, Shuiping; Xiao, Aiguo
2016
Exact and numerical stability analysis of reaction-diffusion equations with distributed delays. Zbl 1332.65130
Zhang, Gengen; Xiao, Aiguo
2016
The asymptotic behaviour of the $$\theta$$-methods with constant stepsize for the generalized pantograph equation. Zbl 1365.65181
Zhang, Gengen; Xiao, Aiguo; Wang, Wansheng
2016
Convergence results of two-step W-methods for two-parameter singular perturbation problems. Zbl 1125.65065
Liu, Jialan; Xiao, Aiguo
2007
Variational iteration method for delay differential-algebraic equations. Zbl 1371.65073
Liu, Hongliang; Xiao, Aiguo; Zhao, Yongxiang
2010
Finite difference/finite element method for tempered time fractional advection-dispersion equation with fast evaluation of Caputo derivative. Zbl 1453.65311
Cao, Jiliang; Xiao, Aiguo; Bu, Weiping
2020
A posteriori error estimates for fully discrete finite element method for generalized diffusion equation with delay. Zbl 1453.65346
Wang, Wansheng; Yi, Lijun; Xiao, Aiguo
2020
Implicit-explicit time discretization coupled with finite element methods for delayed predator-prey competition reaction-diffusion system. Zbl 1443.92171
Xiao, Aiguo; Zhang, Gengen; Zhou, Jie
2016
Asymptotic behavior of solutions to time fractional neutral functional differential equations. Zbl 1450.34051
Wang, Dongling; Xiao, Aiguo; Sun, Suzhen
2021
Nonlinear stability and $$B$$-convergence of additive Runge-Kutta methods for nonlinear stiff problems. Zbl 1488.65166
Yue, Chao; Xiao, Aiguo; Liu, Hongliang
2015
Dissipativity of general linear methods. Zbl 0863.65041
Xiao, Aiguo
1996
Order properties of symplectic Runge-Kutta-Nyström methods. Zbl 1155.65396
Xiao, Aiguo; Tang, Yifa
2004
Dependence analysis of the solutions on the parameters of fractional delay differential equations. Zbl 1262.34009
Yang, Shuiping; Xiao, Aiguo; Pan, Xinyuan
2011
Parallel two-step ROW-methods for stiff delay differential equations. Zbl 1172.65042
Zhu, Qiao; Xiao, Aiguo
2009
Variational iteration method for singular perturbation initial value problems with delays. Zbl 1407.65088
Zhao, Yongxiang; Xiao, Aiguo; Li, Li; Zhang, Chengjian
2014
Improved Runge-Kutta-Chebyshev methods. Zbl 1453.65168
Tang, Xiao; Xiao, Aiguo
2020
A conservative difference scheme for space fractional Klein-Gordon-Schrödinger equations with a high-degree Yukawa interaction. Zbl 1468.65114
Wang, Junjie; Xiao, Aiguo; Wang, Chenxi
2018
A space-time Petrov-Galerkin spectral method for time fractional Fokker-Planck equation with nonsmooth solution. Zbl 1462.35451
Zeng, Wei; Xiao, Aiguo; Bu, Weiping; Wang, Junjie; Li, Shucun
2020
Error analysis of parallel multivalue hybrid methods for index-2 differential-algebraic equations. Zbl 1178.65095
Xiao, Aiguo; Liu, Jialan
2008
Convergence of parallel multistep hybrid methods for singular perturbation problems. Zbl 1178.65092
Xiao, Aiguo; Zhao, Yongxiang
2009
Error analysis of one-leg methods for differential-algebraic equations of index 2. Zbl 0948.65083
Xiao, Aiguo; Li, Shoufu
1999
Order results for algebraically stable mono-implicit Runge-Kutta methods. Zbl 0949.65075
Xiao, Aiguo
1999
Regularity of general linear methods. Zbl 0949.65077
Huang, Chengming; Xiao, Aiguo
2000
Extending convergence of BDF methods for a class of nonlinear strongly stiff problems. Zbl 0971.65071
Xiao, Aiguo; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
2000
Quadratic invariants and symplectic structure of general linear methods. Zbl 0984.65130
Xiao, Aiguo; Li, Shoufu; Yang, Min
2001
Convergence of linear multistep methods for two-parameter singular perturbation problems. Zbl 0990.65089
Xiao, Aiguo; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
2001
Regularity properties of one-leg methods for delay differential equations. Zbl 0989.65080
Xiao, Ai-Guo; Tang, Yi-Fa
2001
$$(\vec \theta, p, q)$$-algebraic stability of Runge-Kutta methods. Zbl 0850.65155
Xiao, Aiguo
1993
Symplectic properties of multistep Runge-Kutta methods. Zbl 1036.65111
Xiao, Ai-Guo; Tang, Yi-Fa
2002
Is the formal energy of the mid-point rule convergent? Zbl 1050.65128
Tang, Yi-Fa; Xiao, Ai-Guo; Chen, Jing-Bo
2002
On the solvability of general linear methods for dissipative dynamical systems. Zbl 0979.65114
Xiao, Aiguo
2000
B-convergence of general linear methods for stiff problems. Zbl 1067.65080
Huang, Chengming; Chang, Qianshun; Xiao, Aiguo
2003
Generations and mechanisms of multi-stripe chaotic attractors of fractional order dynamic system. Zbl 1237.37031
Yang, Shuiping; Wu, Jianxin; Li, Min; Xiao, Aiguo
2011
Characterizations and construction of Poisson/symplectic and symmetric multi-revolution implicit Runge-Kutta methods of high order. Zbl 1149.65096
Li, Min; Xiao, Aiguo
2008
Two classes of three-stage diagonally-implicit Runge-Kutta methods with an explicit stage for stiff oscillatory problems. Zbl 1240.65206
Wen, Zhiwu; Zhu, Ting; Xiao, Aiguo
2011
Convergence of backward differentiation formulas for index-2 differential-algebraic equations with variable delay. Zbl 1240.65231
Liu, Hongliang; Xiao, Aiguo
2011
Numerical solutions of nonautonomous stochastic delay differential equations by discontinuous Galerkin methods. Zbl 1449.65005
Dai, Xinjie; Xiao, Aiguo
2019
Modeling anomalous diffusion by a subordinated integrated Brownian motion. Zbl 1400.60102
Shi, Long; Xiao, Aiguo
2017
Efficient difference method for time-space fractional diffusion equation with Robin fractional derivative boundary condition. Zbl 07431188
Zhang, Biao; Bu, Weiping; Xiao, Aiguo
2021
Numerical solutions of SDEs with Markovian switching and jumps under non-Lipschitz conditions. Zbl 1416.65029
Chen, Yingzi; Xiao, Aiguo; Wang, Wansheng
2019
New explicit stabilized stochastic Runge-Kutta methods with weak second order for stiff Itô stochastic differential equations. Zbl 07107358
Tang, Xiao; Xiao, Aiguo
2019
Finite difference and sinc-collocation approximations to a class of fractional diffusion-wave equations. Zbl 1442.65295
Mao, Zhi; Xiao, Aiguo; Yu, Zuguo; Shi, Long
2014
A note on Euler method for the overdamped generalized Langevin equation with fractional noise. Zbl 1450.65002
Dai, Xinjie; Xiao, Aiguo
2021
Asymptotic behavior of solutions to time fractional neutral functional differential equations. Zbl 1450.34051
Wang, Dongling; Xiao, Aiguo; Sun, Suzhen
2021
Efficient difference method for time-space fractional diffusion equation with Robin fractional derivative boundary condition. Zbl 07431188
Zhang, Biao; Bu, Weiping; Xiao, Aiguo
2021
A note on Euler method for the overdamped generalized Langevin equation with fractional noise. Zbl 1450.65002
Dai, Xinjie; Xiao, Aiguo
2021
Lévy-driven stochastic Volterra integral equations with doubly singular kernels: existence, uniqueness, and a fast EM method. Zbl 1457.60103
Dai, Xinjie; Xiao, Aiguo
2020
Long-time behavior of numerical solutions to nonlinear fractional ODEs. Zbl 1441.65059
Wang, Dongling; Xiao, Aiguo; Zou, Jun
2020
Finite difference/finite element method for tempered time fractional advection-dispersion equation with fast evaluation of Caputo derivative. Zbl 1453.65311
Cao, Jiliang; Xiao, Aiguo; Bu, Weiping
2020
A posteriori error estimates for fully discrete finite element method for generalized diffusion equation with delay. Zbl 1453.65346
Wang, Wansheng; Yi, Lijun; Xiao, Aiguo
2020
Improved Runge-Kutta-Chebyshev methods. Zbl 1453.65168
Tang, Xiao; Xiao, Aiguo
2020
A space-time Petrov-Galerkin spectral method for time fractional Fokker-Planck equation with nonsmooth solution. Zbl 1462.35451
Zeng, Wei; Xiao, Aiguo; Bu, Weiping; Wang, Junjie; Li, Shucun
2020
Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations. Zbl 1429.65254
Wang, Junjie; Xiao, Aiguo
2019
Symplectic scheme for the Schrödinger equation with fractional Laplacian. Zbl 1423.81070
Xiao, Aiguo; Wang, Junjie
2019
Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg-Landau equations. Zbl 1414.65026
Zeng, Wei; Xiao, Aiguo; Li, Xueyang
2019
An $$h$$-$$p$$ version of the continuous Petrov-Galerkin finite element method for Riemann-Liouville fractional differential equation with novel test basis functions. Zbl 1435.65194
Bu, Weiping; Xiao, Aiguo
2019
Well-posedness and EM approximations for non-Lipschitz stochastic fractional integro-differential equations. Zbl 07069144
Dai, Xinjie; Bu, Weiping; Xiao, Aiguo
2019
Asymptotically optimal approximation of some stochastic integrals and its applications to the strong second-order methods. Zbl 1415.60057
Tang, Xiao; Xiao, Aiguo
2019
Conservative linearly-implicit difference scheme for a class of modified Zakharov systems with high-order space fractional quantum correction. Zbl 1457.65065
Xiao, Aiguo; Wang, Chenxi; Wang, Junjie
2019
Space-time finite element method for the multi-term time-space fractional diffusion equation on a two-dimensional domain. Zbl 1442.65252
Bu, Weiping; Shu, Shi; Yue, Xiaoqiang; Xiao, Aiguo; Zeng, Wei
2019
An IMEX-BDF2 compact scheme for pricing options under regime-switching jump-diffusion models. Zbl 1417.65150
Chen, Yingzi; Xiao, Aiguo; Wang, Wansheng
2019
Numerical solutions of nonautonomous stochastic delay differential equations by discontinuous Galerkin methods. Zbl 1449.65005
Dai, Xinjie; Xiao, Aiguo
2019
Numerical solutions of SDEs with Markovian switching and jumps under non-Lipschitz conditions. Zbl 1416.65029
Chen, Yingzi; Xiao, Aiguo; Wang, Wansheng
2019
New explicit stabilized stochastic Runge-Kutta methods with weak second order for stiff Itô stochastic differential equations. Zbl 07107358
Tang, Xiao; Xiao, Aiguo
2019
An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations. Zbl 1427.65189
Wang, Jun-jie; Xiao, Ai-guo
2018
Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation. Zbl 1419.65079
Huang, Yunqing; Li, Xueyang; Xiao, Aiguo
2018
A conservative difference scheme for space fractional Klein-Gordon-Schrödinger equations with a high-degree Yukawa interaction. Zbl 1468.65114
Wang, Junjie; Xiao, Aiguo; Wang, Chenxi
2018
Finite difference/finite element methods for distributed-order time fractional diffusion equations. Zbl 1375.65110
Bu, Weiping; Xiao, Aiguo; Zeng, Wei
2017
Strong convergence of the split-step theta method for neutral stochastic delay differential equations. Zbl 1370.65004
Yan, Zhiping; Xiao, Aiguo; Tang, Xiao
2017
Efficient weak second-order stochastic Runge-Kutta methods for Itô stochastic differential equations. Zbl 1359.60086
Tang, Xiao; Xiao, Aiguo
2017
Modeling anomalous diffusion by a subordinated integrated Brownian motion. Zbl 1400.60102
Shi, Long; Xiao, Aiguo
2017
High strong order stochastic Runge-Kutta methods for Stratonovich stochastic differential equations with scalar noise. Zbl 1342.60116
Xiao, Aiguo; Tang, Xiao
2016
Stability and convergence analysis of implicit-explicit one-leg methods for stiff delay differential equations. Zbl 1355.65085
Zhang, Gengen; Xiao, Aiguo
2016
An efficient numerical method for fractional differential equations with two Caputo derivatives. Zbl 1363.65120
Yang, Shuiping; Xiao, Aiguo
2016
Exact and numerical stability analysis of reaction-diffusion equations with distributed delays. Zbl 1332.65130
Zhang, Gengen; Xiao, Aiguo
2016
The asymptotic behaviour of the $$\theta$$-methods with constant stepsize for the generalized pantograph equation. Zbl 1365.65181
Zhang, Gengen; Xiao, Aiguo; Wang, Wansheng
2016
Implicit-explicit time discretization coupled with finite element methods for delayed predator-prey competition reaction-diffusion system. Zbl 1443.92171
Xiao, Aiguo; Zhang, Gengen; Zhou, Jie
2016
Maximum-norm error analysis of a difference scheme for the space fractional CNLS. Zbl 1339.65137
Wang, Dongling; Xiao, Aiguo; Yang, Wei
2015
Dissipativity and stability analysis for fractional functional differential equations. Zbl 1348.34136
Wang, Dongling; Xiao, Aiguo; Liu, Hongliang
2015
Dissipativity and contractivity for fractional-order systems. Zbl 1345.37086
Wang, Dongling; Xiao, Aiguo
2015
Nonlinear stability and $$B$$-convergence of additive Runge-Kutta methods for nonlinear stiff problems. Zbl 1488.65166
Yue, Chao; Xiao, Aiguo; Liu, Hongliang
2015
A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations. Zbl 1349.65339
Wang, Dongling; Xiao, Aiguo; Yang, Wei
2014
Stability of analytical and numerical solutions of nonlinear stochastic delay differential equations. Zbl 1293.65011
Gan, Siqing; Xiao, Aiguo; Wang, Desheng
2014
Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems. Zbl 1338.65179
Xiao, Aiguo; Zhang, Gengen; Yi, Xing
2014
Time-splitting finite difference method with the wavelet-adaptive grids for semiclassical Gross-Pitaevskii equation in supercritical case. Zbl 1349.82033
Li, Xueyang; Xiao, Aiguo
2014
Variational iteration method for singular perturbation initial value problems with delays. Zbl 1407.65088
Zhao, Yongxiang; Xiao, Aiguo; Li, Li; Zhang, Chengjian
2014
Finite difference and sinc-collocation approximations to a class of fractional diffusion-wave equations. Zbl 1442.65295
Mao, Zhi; Xiao, Aiguo; Yu, Zuguo; Shi, Long
2014
Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative. Zbl 1297.65100
Wang, Dongling; Xiao, Aiguo; Yang, Wei
2013
Parametric symplectic partitioned Runge-Kutta methods with energy-preserving properties for Hamiltonian systems. Zbl 1305.65240
Wang, Dongling; Xiao, Aiguo; Li, Xueyang
2013
Space-time fractional diffusion equations and asymptotic behaviors of a coupled continuous time random walk model. Zbl 1395.35198
Shi, Long; Yu, Zuguo; Mao, Zhi; Xiao, Aiguo; Huang, Hailan
2013
Fractional variational integrators for fractional Euler-Lagrange equations with holonomic constraints. Zbl 1261.35149
Wang, Dongling; Xiao, Aiguo
2013
Convergence of variational iteration method for second-order delay differential equations. Zbl 1266.65102
Liu, Hongliang; Xiao, Aiguo; Su, Lihong
2013
Fractional variational integrators for fractional variational problems. Zbl 1239.49028
Wang, Dongling; Xiao, Aiguo
2012
Convergence of linear multistep methods and one-leg methods for index-2 differential-algebraic equations with a variable delay. Zbl 1262.65093
Liu, Hongliang; Xiao, Aiguo
2012
Convergence of the variational iteration method for solving multi-delay differential equations. Zbl 1219.65086
Yang, Shui-Ping; Xiao, Ai-Guo
2011
Dependence analysis of the solutions on the parameters of fractional delay differential equations. Zbl 1262.34009
Yang, Shuiping; Xiao, Aiguo; Pan, Xinyuan
2011
Generations and mechanisms of multi-stripe chaotic attractors of fractional order dynamic system. Zbl 1237.37031
Yang, Shuiping; Wu, Jianxin; Li, Min; Xiao, Aiguo
2011
Two classes of three-stage diagonally-implicit Runge-Kutta methods with an explicit stage for stiff oscillatory problems. Zbl 1240.65206
Wen, Zhiwu; Zhu, Ting; Xiao, Aiguo
2011
Convergence of backward differentiation formulas for index-2 differential-algebraic equations with variable delay. Zbl 1240.65231
Liu, Hongliang; Xiao, Aiguo
2011
Convergence of the variational iteration method for solving multi-order fractional differential equations. Zbl 1207.65109
Yang, Shuiping; Xiao, Aiguo; Su, Hong
2010
Weighted finite difference methods for a class of space fractional partial differential equations with variable coefficients. Zbl 1185.65146
Ding, Zhiqing; Xiao, Aiguo; Li, Min
2010
Variational iteration method for singular perturbation initial value problems. Zbl 1205.65210
Zhao, Yongxiang; Xiao, Aiguo
2010
Variational iteration method for delay differential-algebraic equations. Zbl 1371.65073
Liu, Hongliang; Xiao, Aiguo; Zhao, Yongxiang
2010
Parallel two-step ROW-methods for stiff delay differential equations. Zbl 1172.65042
Zhu, Qiao; Xiao, Aiguo
2009
Convergence of parallel multistep hybrid methods for singular perturbation problems. Zbl 1178.65092
Xiao, Aiguo; Zhao, Yongxiang
2009
Error analysis of parallel multivalue hybrid methods for index-2 differential-algebraic equations. Zbl 1178.65095
Xiao, Aiguo; Liu, Jialan
2008
Characterizations and construction of Poisson/symplectic and symmetric multi-revolution implicit Runge-Kutta methods of high order. Zbl 1149.65096
Li, Min; Xiao, Aiguo
2008
Convergence results of two-step W-methods for two-parameter singular perturbation problems. Zbl 1125.65065
Liu, Jialan; Xiao, Aiguo
2007
Order properties of symplectic Runge-Kutta-Nyström methods. Zbl 1155.65396
Xiao, Aiguo; Tang, Yifa
2004
B-convergence of general linear methods for stiff problems. Zbl 1067.65080
Huang, Chengming; Chang, Qianshun; Xiao, Aiguo
2003
Convergence results of Runge-Kutta methods for multiply-stiff singular perturbation problems. Zbl 1019.65058
Xiao, Aiguo
2002
Symplectic properties of multistep Runge-Kutta methods. Zbl 1036.65111
Xiao, Ai-Guo; Tang, Yi-Fa
2002
Is the formal energy of the mid-point rule convergent? Zbl 1050.65128
Tang, Yi-Fa; Xiao, Ai-Guo; Chen, Jing-Bo
2002
Convergence results of one-leg and linear multistep methods for multiply stiff singular perturbation problems. Zbl 1042.65063
Xiao, A.; Huang, C.; Gan, S.
2001
Quadratic invariants and symplectic structure of general linear methods. Zbl 0984.65130
Xiao, Aiguo; Li, Shoufu; Yang, Min
2001
Convergence of linear multistep methods for two-parameter singular perturbation problems. Zbl 0990.65089
Xiao, Aiguo; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
2001
Regularity properties of one-leg methods for delay differential equations. Zbl 0989.65080
Xiao, Ai-Guo; Tang, Yi-Fa
2001
Error of partitioned Runge-Kutta methods for multiple stiff singular perturbation problems. Zbl 0956.65057
Xiao, A.; Li, S.
2000
Regularity properties of general linear methods for initial value problems of ordinary differential equations. Zbl 0970.65082
Xiao, Aiguo; Fu, Hongyuan; Li, Shoufu; Chen, Guangnan
2000
Regularity of general linear methods. Zbl 0949.65077
Huang, Chengming; Xiao, Aiguo
2000
Extending convergence of BDF methods for a class of nonlinear strongly stiff problems. Zbl 0971.65071
Xiao, Aiguo; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
2000
On the solvability of general linear methods for dissipative dynamical systems. Zbl 0979.65114
Xiao, Aiguo
2000
Error analysis of one-leg methods for differential-algebraic equations of index 2. Zbl 0948.65083
Xiao, Aiguo; Li, Shoufu
1999
Order results for algebraically stable mono-implicit Runge-Kutta methods. Zbl 0949.65075
Xiao, Aiguo
1999
Dissipativity of general linear methods. Zbl 0863.65041
Xiao, Aiguo
1996
$$(\vec \theta, p, q)$$-algebraic stability of Runge-Kutta methods. Zbl 0850.65155
Xiao, Aiguo
1993
On the order of $$B$$-convergence of Runge-Kutta methods. Zbl 0782.65097
Xiao, Aiguo
1992
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### Cited by 616 Authors

 40 Xiao, Aiguo 29 Huang, Chengming 15 Bhrawy, Ali Hassan 13 Wang, Dongling 13 Zhang, Chengjian 11 Li, Meng 11 Zaky, Mahmoud A. 11 Zhao, Jingjun 10 Fu, Yayun 10 Xu, Yang 9 Tang, Yifa 9 Wang, Pengde 9 Zhang, Gengen 8 Ding, Xiaohua 8 Wang, Nan 8 Wang, Yushun 7 Bu, Weiping 7 Cai, Wenjun 7 Ezz-Eldien, Samer S. 7 Fei, Mingfa 7 Ma, Qiang 7 Wang, Junjie 7 Wang, Wansheng 6 Băleanu, Dumitru I. 6 Li, Dongfang 6 Pan, Kejia 6 Xie, Jianqiang 6 Zhang, Zhiyue 5 An, Na 5 Dai, Xinjie 5 Doha, Eid H. 5 Hu, Dongdong 5 Jiang, Xiaoyun 5 Liu, Hongliang 5 Mei, Liquan 5 Wen, Liping 5 Zhang, YanMing 5 Zhao, Yongliang 4 Abbasbandy, Saeid 4 Gu, Xian-Ming 4 Hendy, Ahmed S. 4 Huang, Chaobao 4 Kuznetsov, Dmitriĭ Feliksovich 4 Li, Changpin 4 Liang, Xiao 4 Liu, Fawang 4 Macías-Díaz, Jorge Eduardo 4 Ran, Maohua 4 Ren, Yunzhu 4 Tang, Xiao 4 Turner, Ian William 4 Vong, Seakweng 4 Wang, Jungang 4 Xing, Zhiyong 4 Zeng, Fanhai 4 Zhang, Guoyu 4 Zhang, Qifeng 4 Zhao, Yanmin 3 Abdelkawy, Mohamed A. 3 Cheng, Bianru 3 Cheng, Xiujun 3 Feng, Libo 3 Gan, Siqing 3 Guo, Zhongjin 3 Hao, Zhaopeng 3 He, Dongdong 3 Hicdurmaz, Betul 3 Hu, Peng 3 Huang, Ting-Zhu 3 Jia, Jia 3 Khaliq, Abdul Q. M. 3 Li, Xueyang 3 Ran, Yuhong 3 Shu, Shi 3 Song, Songhe 3 Sun, Zhizhong 3 Tan, Zengqiang 3 Wu, Fengyan 3 Xi, Lifeng 3 Xu, Zhuangzhi 3 Yang, Shuiping 3 Yang, Wei 3 Yi, Yulian 3 Yu, Xijun 3 Yue, Xiaoqiang 3 Zhao, Yongxiang 2 Abbaszadeh, Mostafa 2 Agarwal, Ravi P. 2 Allahviranloo, Tofigh 2 Ashyralyev, Allaberen 2 Avazzadeh, Zakieh 2 Bhatt, Harish P. 2 Burrage, Kevin 2 Cao, Wanrong 2 Castillo, Paul E. 2 Chen, Yanping 2 Chen, Yingzi 2 Deng, Shounian 2 Deng, Weihua 2 Ding, Hengfei ...and 516 more Authors
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### Cited in 92 Serials

 43 Applied Mathematics and Computation 43 Applied Numerical Mathematics 28 Computers & Mathematics with Applications 25 Journal of Computational and Applied Mathematics 24 International Journal of Computer Mathematics 19 Numerical Algorithms 17 Mathematics and Computers in Simulation 17 Journal of Scientific Computing 16 Applied Mathematics Letters 15 Journal of Computational Physics 15 Advances in Difference Equations 12 Advances in Applied Mathematics and Mechanics 9 Communications in Nonlinear Science and Numerical Simulation 8 Applied Mathematical Modelling 5 Mathematical Problems in Engineering 5 Nonlinear Dynamics 5 Fractional Calculus & Applied Analysis 4 Journal of the Franklin Institute 4 Chaos, Solitons and Fractals 4 Computational and Applied Mathematics 4 Advances in Computational Mathematics 4 Abstract and Applied Analysis 4 Differentsial’nye Uravneniya i Protsessy Upravleniya 4 East Asian Journal on Applied Mathematics 3 Applicable Analysis 3 Physica A 3 Journal of Optimization Theory and Applications 3 SIAM Journal on Numerical Analysis 3 Computational Mechanics 3 Journal of Vibration and Control 3 Journal of Applied Mathematics and Computing 3 Advances in Mathematical Physics 2 BIT 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Engineering Analysis with Boundary Elements 2 Discrete Dynamics in Nature and Society 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Nonlinear Analysis. Modelling and Control 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 Boundary Value Problems 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Pseudo-Differential Operators and Applications 2 Journal of Applied Analysis and Computation 2 Journal of Function Spaces 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 International Journal of Control 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Calcolo 1 Fasciculi Mathematici 1 Quarterly of Applied Mathematics 1 Systems & Control Letters 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Journal of Computational Mathematics 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Automation and Remote Control 1 SIAM Journal on Scientific Computing 1 Fractals 1 Journal of Inverse and Ill-Posed Problems 1 Journal of Difference Equations and Applications 1 European Journal of Control 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 International Journal of Applied Mathematics and Computer Science 1 Mathematical Modelling and Analysis 1 Quantitative Finance 1 Computational Methods in Applied Mathematics 1 Fixed Point Theory 1 Inverse Problems in Science and Engineering 1 Complex Variables and Elliptic Equations 1 Numerical Mathematics: Theory, Methods and Applications 1 International Journal of Biomathematics 1 International Journal of Computing Science and Mathematics 1 Algorithms 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 Iranian Journal of Mathematical Sciences and Informatics 1 S$$\vec{\text{e}}$$MA Journal 1 Mathematical Sciences 1 Journal of Computational Dynamics 1 Mathematics 1 JAMM. Journal of Advanced Mathematical Modeling 1 International Journal of Applied and Computational Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 SN Partial Differential Equations and Applications
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### Cited in 31 Fields

 367 Numerical analysis (65-XX) 212 Partial differential equations (35-XX) 101 Ordinary differential equations (34-XX) 56 Real functions (26-XX) 49 Probability theory and stochastic processes (60-XX) 19 Integral equations (45-XX) 19 Fluid mechanics (76-XX) 13 Systems theory; control (93-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Quantum theory (81-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Biology and other natural sciences (92-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Difference and functional equations (39-XX) 5 Operator theory (47-XX) 5 Mechanics of deformable solids (74-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Special functions (33-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Measure and integration (28-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)