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Author ID: xiao.aiguo Recent zbMATH articles by "Xiao, Aiguo"
Published as: Xiao, Aiguo; Xiao, Ai-Guo; Xiao, Ai Guo; Xiao, Ai-guo; Xiao, A.
Documents Indexed: 135 Publications since 1992
Co-Authors: 68 Co-Authors with 117 Joint Publications
1,700 Co-Co-Authors
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

Publications by Year

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
90
2013
A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations. Zbl 1349.65339
Wang, Dongling; Xiao, Aiguo; Yang, Wei
69
2014
Maximum-norm error analysis of a difference scheme for the space fractional CNLS. Zbl 1339.65137
Wang, Dongling; Xiao, Aiguo; Yang, Wei
49
2015
Finite difference/finite element methods for distributed-order time fractional diffusion equations. Zbl 1375.65110
Bu, Weiping; Xiao, Aiguo; Zeng, Wei
32
2017
Convergence of the variational iteration method for solving multi-order fractional differential equations. Zbl 1207.65109
Yang, Shuiping; Xiao, Aiguo; Su, Hong
27
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
25
2010
Dissipativity and stability analysis for fractional functional differential equations. Zbl 1348.34136
Wang, Dongling; Xiao, Aiguo; Liu, Hongliang
19
2015
An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations. Zbl 1427.65189
Wang, Jun-jie; Xiao, Ai-guo
14
2018
Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations. Zbl 1429.65254
Wang, Junjie; Xiao, Aiguo
14
2019
Fractional variational integrators for fractional variational problems. Zbl 1239.49028
Wang, Dongling; Xiao, Aiguo
13
2012
Symplectic scheme for the Schrödinger equation with fractional Laplacian. Zbl 1423.81070
Xiao, Aiguo; Wang, Junjie
13
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
12
2019
Stability of analytical and numerical solutions of nonlinear stochastic delay differential equations. Zbl 1293.65011
Gan, Siqing; Xiao, Aiguo; Wang, Desheng
12
2014
Dissipativity and contractivity for fractional-order systems. Zbl 1345.37086
Wang, Dongling; Xiao, Aiguo
11
2015
Strong convergence of the split-step theta method for neutral stochastic delay differential equations. Zbl 1370.65004
Yan, Zhiping; Xiao, Aiguo; Tang, Xiao
11
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
10
2019
Convergence of the variational iteration method for solving multi-delay differential equations. Zbl 1219.65086
Yang, Shui-Ping; Xiao, Ai-Guo
9
2011
Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation. Zbl 1419.65079
Huang, Yunqing; Li, Xueyang; Xiao, Aiguo
9
2018
Well-posedness and EM approximations for non-Lipschitz stochastic fractional integro-differential equations. Zbl 07069144
Dai, Xinjie; Bu, Weiping; Xiao, Aiguo
8
2019
Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems. Zbl 1338.65179
Xiao, Aiguo; Zhang, Gengen; Yi, Xing
8
2014
Efficient weak second-order stochastic Runge-Kutta methods for Itô stochastic differential equations. Zbl 1359.60086
Tang, Xiao; Xiao, Aiguo
8
2017
Error of partitioned Runge-Kutta methods for multiple stiff singular perturbation problems. Zbl 0956.65057
Xiao, A.; Li, S.
7
2000
High strong order stochastic Runge-Kutta methods for Stratonovich stochastic differential equations with scalar noise. Zbl 1342.60116
Xiao, Aiguo; Tang, Xiao
7
2016
Parametric symplectic partitioned Runge-Kutta methods with energy-preserving properties for Hamiltonian systems. Zbl 1305.65240
Wang, Dongling; Xiao, Aiguo; Li, Xueyang
7
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
6
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.
5
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
5
2012
Fractional variational integrators for fractional Euler-Lagrange equations with holonomic constraints. Zbl 1261.35149
Wang, Dongling; Xiao, Aiguo
5
2013
Stability and convergence analysis of implicit-explicit one-leg methods for stiff delay differential equations. Zbl 1355.65085
Zhang, Gengen; Xiao, Aiguo
5
2016
Asymptotically optimal approximation of some stochastic integrals and its applications to the strong second-order methods. Zbl 1415.60057
Tang, Xiao; Xiao, Aiguo
5
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
5
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
5
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
4
2020
An IMEX-BDF2 compact scheme for pricing options under regime-switching jump-diffusion models. Zbl 1417.65150
Chen, Yingzi; Xiao, Aiguo; Wang, Wansheng
4
2019
On the order of \(B\)-convergence of Runge-Kutta methods. Zbl 0782.65097
Xiao, Aiguo
4
1992
Variational iteration method for singular perturbation initial value problems. Zbl 1205.65210
Zhao, Yongxiang; Xiao, Aiguo
4
2010
Convergence results of Runge-Kutta methods for multiply-stiff singular perturbation problems. Zbl 1019.65058
Xiao, Aiguo
4
2002
Long-time behavior of numerical solutions to nonlinear fractional ODEs. Zbl 1441.65059
Wang, Dongling; Xiao, Aiguo; Zou, Jun
4
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
3
2000
Convergence of variational iteration method for second-order delay differential equations. Zbl 1266.65102
Liu, Hongliang; Xiao, Aiguo; Su, Lihong
3
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
3
2014
An efficient numerical method for fractional differential equations with two Caputo derivatives. Zbl 1363.65120
Yang, Shuiping; Xiao, Aiguo
3
2016
Exact and numerical stability analysis of reaction-diffusion equations with distributed delays. Zbl 1332.65130
Zhang, Gengen; Xiao, Aiguo
3
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
3
2016
Convergence results of two-step W-methods for two-parameter singular perturbation problems. Zbl 1125.65065
Liu, Jialan; Xiao, Aiguo
3
2007
Variational iteration method for delay differential-algebraic equations. Zbl 1371.65073
Liu, Hongliang; Xiao, Aiguo; Zhao, Yongxiang
3
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
3
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
3
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
3
2016
Asymptotic behavior of solutions to time fractional neutral functional differential equations. Zbl 1450.34051
Wang, Dongling; Xiao, Aiguo; Sun, Suzhen
2
2021
Nonlinear stability and \(B\)-convergence of additive Runge-Kutta methods for nonlinear stiff problems. Zbl 1488.65166
Yue, Chao; Xiao, Aiguo; Liu, Hongliang
2
2015
Dissipativity of general linear methods. Zbl 0863.65041
Xiao, Aiguo
2
1996
Order properties of symplectic Runge-Kutta-Nyström methods. Zbl 1155.65396
Xiao, Aiguo; Tang, Yifa
2
2004
Dependence analysis of the solutions on the parameters of fractional delay differential equations. Zbl 1262.34009
Yang, Shuiping; Xiao, Aiguo; Pan, Xinyuan
2
2011
Parallel two-step ROW-methods for stiff delay differential equations. Zbl 1172.65042
Zhu, Qiao; Xiao, Aiguo
2
2009
Variational iteration method for singular perturbation initial value problems with delays. Zbl 1407.65088
Zhao, Yongxiang; Xiao, Aiguo; Li, Li; Zhang, Chengjian
2
2014
Improved Runge-Kutta-Chebyshev methods. Zbl 1453.65168
Tang, Xiao; Xiao, Aiguo
2
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
1
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
1
2020
Error analysis of parallel multivalue hybrid methods for index-2 differential-algebraic equations. Zbl 1178.65095
Xiao, Aiguo; Liu, Jialan
1
2008
Convergence of parallel multistep hybrid methods for singular perturbation problems. Zbl 1178.65092
Xiao, Aiguo; Zhao, Yongxiang
1
2009
Error analysis of one-leg methods for differential-algebraic equations of index 2. Zbl 0948.65083
Xiao, Aiguo; Li, Shoufu
1
1999
Order results for algebraically stable mono-implicit Runge-Kutta methods. Zbl 0949.65075
Xiao, Aiguo
1
1999
Regularity of general linear methods. Zbl 0949.65077
Huang, Chengming; Xiao, Aiguo
1
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
1
2000
Quadratic invariants and symplectic structure of general linear methods. Zbl 0984.65130
Xiao, Aiguo; Li, Shoufu; Yang, Min
1
2001
Convergence of linear multistep methods for two-parameter singular perturbation problems. Zbl 0990.65089
Xiao, Aiguo; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
1
2001
Regularity properties of one-leg methods for delay differential equations. Zbl 0989.65080
Xiao, Ai-Guo; Tang, Yi-Fa
1
2001
\((\vec \theta, p, q)\)-algebraic stability of Runge-Kutta methods. Zbl 0850.65155
Xiao, Aiguo
1
1993
Symplectic properties of multistep Runge-Kutta methods. Zbl 1036.65111
Xiao, Ai-Guo; Tang, Yi-Fa
1
2002
Is the formal energy of the mid-point rule convergent? Zbl 1050.65128
Tang, Yi-Fa; Xiao, Ai-Guo; Chen, Jing-Bo
1
2002
On the solvability of general linear methods for dissipative dynamical systems. Zbl 0979.65114
Xiao, Aiguo
1
2000
B-convergence of general linear methods for stiff problems. Zbl 1067.65080
Huang, Chengming; Chang, Qianshun; Xiao, Aiguo
1
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
1
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
1
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
1
2011
Convergence of backward differentiation formulas for index-2 differential-algebraic equations with variable delay. Zbl 1240.65231
Liu, Hongliang; Xiao, Aiguo
1
2011
Numerical solutions of nonautonomous stochastic delay differential equations by discontinuous Galerkin methods. Zbl 1449.65005
Dai, Xinjie; Xiao, Aiguo
1
2019
Modeling anomalous diffusion by a subordinated integrated Brownian motion. Zbl 1400.60102
Shi, Long; Xiao, Aiguo
1
2017
Efficient difference method for time-space fractional diffusion equation with Robin fractional derivative boundary condition. Zbl 07431188
Zhang, Biao; Bu, Weiping; Xiao, Aiguo
1
2021
Numerical solutions of SDEs with Markovian switching and jumps under non-Lipschitz conditions. Zbl 1416.65029
Chen, Yingzi; Xiao, Aiguo; Wang, Wansheng
1
2019
New explicit stabilized stochastic Runge-Kutta methods with weak second order for stiff Itô stochastic differential equations. Zbl 07107358
Tang, Xiao; Xiao, Aiguo
1
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
1
2014
A note on Euler method for the overdamped generalized Langevin equation with fractional noise. Zbl 1450.65002
Dai, Xinjie; Xiao, Aiguo
1
2021
Asymptotic behavior of solutions to time fractional neutral functional differential equations. Zbl 1450.34051
Wang, Dongling; Xiao, Aiguo; Sun, Suzhen
2
2021
Efficient difference method for time-space fractional diffusion equation with Robin fractional derivative boundary condition. Zbl 07431188
Zhang, Biao; Bu, Weiping; Xiao, Aiguo
1
2021
A note on Euler method for the overdamped generalized Langevin equation with fractional noise. Zbl 1450.65002
Dai, Xinjie; Xiao, Aiguo
1
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
4
2020
Long-time behavior of numerical solutions to nonlinear fractional ODEs. Zbl 1441.65059
Wang, Dongling; Xiao, Aiguo; Zou, Jun
4
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
3
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
3
2020
Improved Runge-Kutta-Chebyshev methods. Zbl 1453.65168
Tang, Xiao; Xiao, Aiguo
2
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
1
2020
Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations. Zbl 1429.65254
Wang, Junjie; Xiao, Aiguo
14
2019
Symplectic scheme for the Schrödinger equation with fractional Laplacian. Zbl 1423.81070
Xiao, Aiguo; Wang, Junjie
13
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
12
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
10
2019
Well-posedness and EM approximations for non-Lipschitz stochastic fractional integro-differential equations. Zbl 07069144
Dai, Xinjie; Bu, Weiping; Xiao, Aiguo
8
2019
Asymptotically optimal approximation of some stochastic integrals and its applications to the strong second-order methods. Zbl 1415.60057
Tang, Xiao; Xiao, Aiguo
5
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
5
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
5
2019
An IMEX-BDF2 compact scheme for pricing options under regime-switching jump-diffusion models. Zbl 1417.65150
Chen, Yingzi; Xiao, Aiguo; Wang, Wansheng
4
2019
Numerical solutions of nonautonomous stochastic delay differential equations by discontinuous Galerkin methods. Zbl 1449.65005
Dai, Xinjie; Xiao, Aiguo
1
2019
Numerical solutions of SDEs with Markovian switching and jumps under non-Lipschitz conditions. Zbl 1416.65029
Chen, Yingzi; Xiao, Aiguo; Wang, Wansheng
1
2019
New explicit stabilized stochastic Runge-Kutta methods with weak second order for stiff Itô stochastic differential equations. Zbl 07107358
Tang, Xiao; Xiao, Aiguo
1
2019
An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations. Zbl 1427.65189
Wang, Jun-jie; Xiao, Ai-guo
14
2018
Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation. Zbl 1419.65079
Huang, Yunqing; Li, Xueyang; Xiao, Aiguo
9
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
1
2018
Finite difference/finite element methods for distributed-order time fractional diffusion equations. Zbl 1375.65110
Bu, Weiping; Xiao, Aiguo; Zeng, Wei
32
2017
Strong convergence of the split-step theta method for neutral stochastic delay differential equations. Zbl 1370.65004
Yan, Zhiping; Xiao, Aiguo; Tang, Xiao
11
2017
Efficient weak second-order stochastic Runge-Kutta methods for Itô stochastic differential equations. Zbl 1359.60086
Tang, Xiao; Xiao, Aiguo
8
2017
Modeling anomalous diffusion by a subordinated integrated Brownian motion. Zbl 1400.60102
Shi, Long; Xiao, Aiguo
1
2017
High strong order stochastic Runge-Kutta methods for Stratonovich stochastic differential equations with scalar noise. Zbl 1342.60116
Xiao, Aiguo; Tang, Xiao
7
2016
Stability and convergence analysis of implicit-explicit one-leg methods for stiff delay differential equations. Zbl 1355.65085
Zhang, Gengen; Xiao, Aiguo
5
2016
An efficient numerical method for fractional differential equations with two Caputo derivatives. Zbl 1363.65120
Yang, Shuiping; Xiao, Aiguo
3
2016
Exact and numerical stability analysis of reaction-diffusion equations with distributed delays. Zbl 1332.65130
Zhang, Gengen; Xiao, Aiguo
3
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
3
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
3
2016
Maximum-norm error analysis of a difference scheme for the space fractional CNLS. Zbl 1339.65137
Wang, Dongling; Xiao, Aiguo; Yang, Wei
49
2015
Dissipativity and stability analysis for fractional functional differential equations. Zbl 1348.34136
Wang, Dongling; Xiao, Aiguo; Liu, Hongliang
19
2015
Dissipativity and contractivity for fractional-order systems. Zbl 1345.37086
Wang, Dongling; Xiao, Aiguo
11
2015
Nonlinear stability and \(B\)-convergence of additive Runge-Kutta methods for nonlinear stiff problems. Zbl 1488.65166
Yue, Chao; Xiao, Aiguo; Liu, Hongliang
2
2015
A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations. Zbl 1349.65339
Wang, Dongling; Xiao, Aiguo; Yang, Wei
69
2014
Stability of analytical and numerical solutions of nonlinear stochastic delay differential equations. Zbl 1293.65011
Gan, Siqing; Xiao, Aiguo; Wang, Desheng
12
2014
Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems. Zbl 1338.65179
Xiao, Aiguo; Zhang, Gengen; Yi, Xing
8
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
3
2014
Variational iteration method for singular perturbation initial value problems with delays. Zbl 1407.65088
Zhao, Yongxiang; Xiao, Aiguo; Li, Li; Zhang, Chengjian
2
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
1
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
90
2013
Parametric symplectic partitioned Runge-Kutta methods with energy-preserving properties for Hamiltonian systems. Zbl 1305.65240
Wang, Dongling; Xiao, Aiguo; Li, Xueyang
7
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
6
2013
Fractional variational integrators for fractional Euler-Lagrange equations with holonomic constraints. Zbl 1261.35149
Wang, Dongling; Xiao, Aiguo
5
2013
Convergence of variational iteration method for second-order delay differential equations. Zbl 1266.65102
Liu, Hongliang; Xiao, Aiguo; Su, Lihong
3
2013
Fractional variational integrators for fractional variational problems. Zbl 1239.49028
Wang, Dongling; Xiao, Aiguo
13
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
5
2012
Convergence of the variational iteration method for solving multi-delay differential equations. Zbl 1219.65086
Yang, Shui-Ping; Xiao, Ai-Guo
9
2011
Dependence analysis of the solutions on the parameters of fractional delay differential equations. Zbl 1262.34009
Yang, Shuiping; Xiao, Aiguo; Pan, Xinyuan
2
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
1
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
1
2011
Convergence of backward differentiation formulas for index-2 differential-algebraic equations with variable delay. Zbl 1240.65231
Liu, Hongliang; Xiao, Aiguo
1
2011
Convergence of the variational iteration method for solving multi-order fractional differential equations. Zbl 1207.65109
Yang, Shuiping; Xiao, Aiguo; Su, Hong
27
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
25
2010
Variational iteration method for singular perturbation initial value problems. Zbl 1205.65210
Zhao, Yongxiang; Xiao, Aiguo
4
2010
Variational iteration method for delay differential-algebraic equations. Zbl 1371.65073
Liu, Hongliang; Xiao, Aiguo; Zhao, Yongxiang
3
2010
Parallel two-step ROW-methods for stiff delay differential equations. Zbl 1172.65042
Zhu, Qiao; Xiao, Aiguo
2
2009
Convergence of parallel multistep hybrid methods for singular perturbation problems. Zbl 1178.65092
Xiao, Aiguo; Zhao, Yongxiang
1
2009
Error analysis of parallel multivalue hybrid methods for index-2 differential-algebraic equations. Zbl 1178.65095
Xiao, Aiguo; Liu, Jialan
1
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
1
2008
Convergence results of two-step W-methods for two-parameter singular perturbation problems. Zbl 1125.65065
Liu, Jialan; Xiao, Aiguo
3
2007
Order properties of symplectic Runge-Kutta-Nyström methods. Zbl 1155.65396
Xiao, Aiguo; Tang, Yifa
2
2004
B-convergence of general linear methods for stiff problems. Zbl 1067.65080
Huang, Chengming; Chang, Qianshun; Xiao, Aiguo
1
2003
Convergence results of Runge-Kutta methods for multiply-stiff singular perturbation problems. Zbl 1019.65058
Xiao, Aiguo
4
2002
Symplectic properties of multistep Runge-Kutta methods. Zbl 1036.65111
Xiao, Ai-Guo; Tang, Yi-Fa
1
2002
Is the formal energy of the mid-point rule convergent? Zbl 1050.65128
Tang, Yi-Fa; Xiao, Ai-Guo; Chen, Jing-Bo
1
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.
5
2001
Quadratic invariants and symplectic structure of general linear methods. Zbl 0984.65130
Xiao, Aiguo; Li, Shoufu; Yang, Min
1
2001
Convergence of linear multistep methods for two-parameter singular perturbation problems. Zbl 0990.65089
Xiao, Aiguo; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
1
2001
Regularity properties of one-leg methods for delay differential equations. Zbl 0989.65080
Xiao, Ai-Guo; Tang, Yi-Fa
1
2001
Error of partitioned Runge-Kutta methods for multiple stiff singular perturbation problems. Zbl 0956.65057
Xiao, A.; Li, S.
7
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
3
2000
Regularity of general linear methods. Zbl 0949.65077
Huang, Chengming; Xiao, Aiguo
1
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
1
2000
On the solvability of general linear methods for dissipative dynamical systems. Zbl 0979.65114
Xiao, Aiguo
1
2000
Error analysis of one-leg methods for differential-algebraic equations of index 2. Zbl 0948.65083
Xiao, Aiguo; Li, Shoufu
1
1999
Order results for algebraically stable mono-implicit Runge-Kutta methods. Zbl 0949.65075
Xiao, Aiguo
1
1999
Dissipativity of general linear methods. Zbl 0863.65041
Xiao, Aiguo
2
1996
\((\vec \theta, p, q)\)-algebraic stability of Runge-Kutta methods. Zbl 0850.65155
Xiao, Aiguo
1
1993
On the order of \(B\)-convergence of Runge-Kutta methods. Zbl 0782.65097
Xiao, Aiguo
4
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
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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
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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
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1 Complex Variables and Elliptic Equations
1 Numerical Mathematics: Theory, Methods and Applications
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1 Science China. Mathematics
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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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