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Xiao, Aiguo

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 Author ID: xiao.aiguo Published as: Xiao, Aiguo; Xiao, Ai-Guo; Xiao, A.; Xiao, Ai-guo
 Documents Indexed: 128 Publications since 1992
all top 5

Co-Authors

 14 single-authored 12 Wang, Dongling 9 Bu, Weiping 9 Zhang, Gengen 7 Li, Shoufu 7 Li, Xueyang 7 Liu, Hongliang 7 Tang, Xiao 7 Wang, Junjie 7 Yang, Shuiping 7 Zhao, Yongxiang 6 Wang, Wansheng 5 Dai, Xinjie 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 Yang, Wei 3 Yu, Zuguo 2 Chen, Yingzi 2 Huang, Hailan 2 Shu, Shi 2 Wang, Chenxi 2 Wen, Liping 2 Wen, Zhiwu 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, 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 Tang, Lei 1 Tang, Lingjuan 1 Wang, Desheng 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 Applied Numerical Mathematics 7 Journal of Computational and Applied Mathematics 7 Journal of Computational Mathematics 6 Numerical Mathematics 6 Mathematica Numerica Sinica 5 Advances in Applied Mathematics and Mechanics 4 Journal of Scientific Computing 4 Numerical Algorithms 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 International Journal of Computer Mathematics 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

 115 Numerical analysis (65-XX) 64 Ordinary differential equations (34-XX) 25 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 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Systems theory; control (93-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

75 Publications have been cited 510 times in 351 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
Fractional variational integrators for fractional variational problems. Zbl 1239.49028
Wang, Dongling; Xiao, Aiguo
2012
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
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
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
Symplectic scheme for the Schrödinger equation with fractional Laplacian. Zbl 1423.81070
Xiao, Aiguo; Wang, Junjie
2019
Convergence of the variational iteration method for solving multi-delay differential equations. Zbl 1219.65086
Yang, Shui-Ping; Xiao, Ai-Guo
2011
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
Parametric symplectic partitioned Runge-Kutta methods with energy-preserving properties for Hamiltonian systems. Zbl 1305.65240
Wang, Dongling; Xiao, Aiguo; Li, Xueyang
2013
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
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
Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation. Zbl 1419.65079
Huang, Yunqing; Li, Xueyang; Xiao, Aiguo
2018
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
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
Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems. Zbl 1338.65179
Xiao, Aiguo; Zhang, Gengen; Yi, Xing
2014
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
Variational iteration method for singular perturbation initial value problems. Zbl 1205.65210
Zhao, Yongxiang; Xiao, Aiguo
2010
On the order of $$B$$-convergence of Runge-Kutta methods. Zbl 0782.65097
Xiao, Aiguo
1992
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
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
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
Long-time behavior of numerical solutions to nonlinear fractional ODEs. Zbl 1441.65059
Wang, Dongling; Xiao, Aiguo; Zou, Jun
2020
Convergence of variational iteration method for second-order delay differential equations. Zbl 1266.65102
Liu, Hongliang; Xiao, Aiguo; Su, Lihong
2013
Variational iteration method for delay differential-algebraic equations. Zbl 1371.65073
Liu, Hongliang; Xiao, Aiguo; Zhao, Yongxiang
2010
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 results of Runge-Kutta methods for multiply-stiff singular perturbation problems. Zbl 1019.65058
Xiao, Aiguo
2002
Stability and convergence analysis of implicit-explicit one-leg methods for stiff delay differential equations. Zbl 1355.65085
Zhang, Gengen; Xiao, Aiguo
2016
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
Exact and numerical stability analysis of reaction-diffusion equations with distributed delays. Zbl 1332.65130
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
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
Dependence analysis of the solutions on the parameters of fractional delay differential equations. Zbl 1262.34009
Yang, Shuiping; Xiao, Aiguo; Pan, Xinyuan
2011
Order properties of symplectic Runge-Kutta-Nyström methods. Zbl 1155.65396
Xiao, Aiguo; Tang, Yifa
2004
Convergence results of two-step W-methods for two-parameter singular perturbation problems. Zbl 1125.65065
Liu, Jialan; Xiao, Aiguo
2007
Dissipativity of general linear methods. Zbl 0863.65041
Xiao, Aiguo
1996
Parallel two-step ROW-methods for stiff delay differential equations. Zbl 1172.65042
Zhu, Qiao; Xiao, Aiguo
2009
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
Variational iteration method for singular perturbation initial value problems with delays. Zbl 1407.65088
Zhao, Yongxiang; Xiao, Aiguo; Li, Li; Zhang, Chengjian
2014
An IMEX-BDF2 compact scheme for pricing options under regime-switching jump-diffusion models. Zbl 1417.65150
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
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
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
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
Convergence of linear multistep methods for two-parameter singular perturbation problems. Zbl 0990.65089
Xiao, Aiguo; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
2001
On the solvability of general linear methods for dissipative dynamical systems. Zbl 0979.65114
Xiao, Aiguo
2000
$$(\vec \theta, p, q)$$-algebraic stability of Runge-Kutta methods. Zbl 0850.65155
Xiao, Aiguo
1993
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
Regularity properties of one-leg methods for delay differential equations. Zbl 0989.65080
Xiao, Ai-Guo; Tang, Yi-Fa
2001
Is the formal energy of the mid-point rule convergent? Zbl 1050.65128
Tang, Yi-Fa; Xiao, Ai-Guo; Chen, Jing-Bo
2002
Symplectic properties of multistep Runge-Kutta methods. Zbl 1036.65111
Xiao, Ai-Guo; Tang, Yi-Fa
2002
B-convergence of general linear methods for stiff problems. Zbl 1067.65080
Huang, Chengming; Chang, Qianshun; Xiao, Aiguo
2003
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
Modeling anomalous diffusion by a subordinated integrated Brownian motion. Zbl 1400.60102
Shi, Long; Xiao, Aiguo
2017
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
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
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
Asymptotic behavior of solutions to time fractional neutral functional differential equations. Zbl 1450.34051
Wang, Dongling; Xiao, Aiguo; Sun, Suzhen
2021
Asymptotic behavior of solutions to time fractional neutral functional differential equations. Zbl 1450.34051
Wang, Dongling; Xiao, Aiguo; Sun, Suzhen
2021
Long-time behavior of numerical solutions to nonlinear fractional ODEs. Zbl 1441.65059
Wang, Dongling; Xiao, Aiguo; Zou, Jun
2020
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
Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations. Zbl 1429.65254
Wang, Junjie; Xiao, Aiguo
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
Symplectic scheme for the Schrödinger equation with fractional Laplacian. Zbl 1423.81070
Xiao, Aiguo; Wang, Junjie
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
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
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
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
New explicit stabilized stochastic Runge-Kutta methods with weak second order for stiff Itô stochastic differential equations. Zbl 07107358
Tang, Xiao; Xiao, Aiguo
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
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
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
Exact and numerical stability analysis of reaction-diffusion equations with distributed delays. Zbl 1332.65130
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
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
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
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
Fractional variational integrators for fractional Euler-Lagrange equations with holonomic constraints. Zbl 1261.35149
Wang, Dongling; Xiao, Aiguo
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 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
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
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
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
Is the formal energy of the mid-point rule convergent? Zbl 1050.65128
Tang, Yi-Fa; Xiao, Ai-Guo; Chen, Jing-Bo
2002
Symplectic properties of multistep Runge-Kutta methods. Zbl 1036.65111
Xiao, Ai-Guo; Tang, Yi-Fa
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
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
Quadratic invariants and symplectic structure of general linear methods. Zbl 0984.65130
Xiao, Aiguo; Li, Shoufu; Yang, Min
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
On the solvability of general linear methods for dissipative dynamical systems. Zbl 0979.65114
Xiao, Aiguo
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
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 516 Authors

 37 Xiao, Aiguo 26 Huang, Chengming 15 Bhrawy, Ali Hassan 12 Wang, Dongling 11 Li, Meng 11 Zhang, Chengjian 11 Zhao, Jingjun 10 Xu, Yang 9 Tang, Yifa 9 Wang, Pengde 9 Zaky, Mahmoud A. 8 Wang, Yushun 7 Bu, Weiping 7 Cai, Wenjun 7 Ding, Xiaohua 7 Ezz-Eldien, Samer S. 7 Fu, Yayun 7 Wang, Nan 6 Băleanu, Dumitru I. 6 Li, Dongfang 6 Ma, Qiang 6 Wang, Junjie 6 Xie, Jianqiang 6 Zhang, Zhiyue 5 Doha, Eid H. 5 Fei, Mingfa 5 Liu, Hongliang 5 Pan, Kejia 5 Wang, Wansheng 5 Wen, Liping 5 Zhang, Gengen 5 Zhang, YanMing 4 Jiang, Xiaoyun 4 Liang, Xiao 4 Ran, Maohua 4 Ren, Yunzhu 4 Tang, Xiao 4 Turner, Ian William 4 Vong, Seakweng 4 Xing, Zhiyong 4 Zeng, Fanhai 4 Zhang, Qifeng 4 Zhao, Yongliang 3 Abbasbandy, Saeid 3 An, Na 3 Cheng, Bianru 3 Cheng, Xiujun 3 Dai, Xinjie 3 Gan, Siqing 3 Gu, Xian-Ming 3 Guo, Zhongjin 3 Hu, Dongdong 3 Hu, Peng 3 Huang, Chaobao 3 Huang, Ting-Zhu 3 Khaliq, Abdul Q. M. 3 Kuznetsov, Dmitriĭ Feliksovich 3 Li, Changpin 3 Li, Xueyang 3 Liu, Fawang 3 Macías-Díaz, Jorge Eduardo 3 Mei, Liquan 3 Ran, Yuhong 3 Shu, Shi 3 Song, Songhe 3 Sun, Zhizhong 3 Wang, Jungang 3 Wu, Fengyan 3 Yang, Wei 3 Yi, Yulian 3 Yu, Xijun 3 Yue, Xiaoqiang 3 Zhang, Guoyu 3 Zhao, Yanmin 3 Zhao, Yongxiang 2 Abbaszadeh, Mostafa 2 Abdelkawy, Mohamed A. 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, Yingzi 2 Deng, Shounian 2 Deng, Weihua 2 Duan, Jinqiao 2 Effati, Sohrab 2 Fan, Yingjie 2 Fei, Weiyin 2 Feng, Libo 2 Furati, Khaled M. 2 Gómez, Sergio Alejandro 2 Guo, Zhenhua 2 Hao, Zhaopeng 2 Hashim, Ishak 2 He, Dongdong 2 Hendy, Ahmed S. ...and 416 more Authors
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Cited in 79 Serials

 42 Applied Mathematics and Computation 40 Applied Numerical Mathematics 27 Computers & Mathematics with Applications 23 Journal of Computational and Applied Mathematics 18 Numerical Algorithms 14 Journal of Scientific Computing 13 Applied Mathematics Letters 12 Journal of Computational Physics 12 Mathematics and Computers in Simulation 10 Advances in Applied Mathematics and Mechanics 8 Applied Mathematical Modelling 8 Communications in Nonlinear Science and Numerical Simulation 7 International Journal of Computer Mathematics 5 Mathematical Problems in Engineering 5 Nonlinear Dynamics 5 Fractional Calculus & Applied Analysis 4 Advances in Computational Mathematics 4 Abstract and Applied Analysis 4 Advances in Difference Equations 3 Journal of the Franklin Institute 3 Journal of Optimization Theory and Applications 3 SIAM Journal on Numerical Analysis 3 Computational Mechanics 3 Computational and Applied Mathematics 3 Journal of Vibration and Control 3 Differentsial’nye Uravneniya i Protsessy Upravleniya 3 Advances in Mathematical Physics 3 East Asian Journal on Applied Mathematics 2 Applicable Analysis 2 Chaos, Solitons and Fractals 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Engineering Analysis with Boundary Elements 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Nonlinear Analysis. Modelling and Control 2 Journal of Applied Mathematics 2 Journal of Applied Mathematics and Computing 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Applied Analysis and Computation 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 BIT 1 Calcolo 1 Fasciculi Mathematici 1 Systems & Control Letters 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 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 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Discrete Dynamics in Nature and Society 1 International Journal of Applied Mathematics and Computer Science 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Fixed Point Theory 1 Boundary Value Problems 1 Inverse Problems in Science and Engineering 1 Complex Variables and Elliptic Equations 1 International Journal of Computing Science and Mathematics 1 Algorithms 1 Science China. Mathematics 1 Journal of Pseudo-Differential Operators and Applications 1 Analysis and Mathematical Physics 1 Iranian Journal of Mathematical Sciences and Informatics 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Computational Dynamics 1 Mathematics 1 Journal of Function Spaces 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 SN Partial Differential Equations and Applications
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Cited in 29 Fields

 299 Numerical analysis (65-XX) 171 Partial differential equations (35-XX) 87 Ordinary differential equations (34-XX) 41 Real functions (26-XX) 39 Probability theory and stochastic processes (60-XX) 16 Integral equations (45-XX) 13 Fluid mechanics (76-XX) 12 Systems theory; control (93-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Quantum theory (81-XX) 5 Operator theory (47-XX) 5 Biology and other natural sciences (92-XX) 4 Special functions (33-XX) 4 Difference and functional equations (39-XX) 4 Mechanics of particles and systems (70-XX) 4 Mechanics of deformable solids (74-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX)