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Xiao, Aiguo

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Author ID: xiao.aiguo Recent zbMATH articles by "Xiao, Aiguo"
Published as: Xiao, Aiguo; Xiao, Ai-Guo; Xiao, A.; Xiao, Ai-guo
Documents Indexed: 128 Publications since 1992
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

Publications by Year

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
72
2013
A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations. Zbl 1349.65339
Wang, Dongling; Xiao, Aiguo; Yang, Wei
56
2014
Maximum-norm error analysis of a difference scheme for the space fractional CNLS. Zbl 1339.65137
Wang, Dongling; Xiao, Aiguo; Yang, Wei
43
2015
Finite difference/finite element methods for distributed-order time fractional diffusion equations. Zbl 1375.65110
Bu, Weiping; Xiao, Aiguo; Zeng, Wei
24
2017
Convergence of the variational iteration method for solving multi-order fractional differential equations. Zbl 1207.65109
Yang, Shuiping; Xiao, Aiguo; Su, Hong
23
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
22
2010
Dissipativity and stability analysis for fractional functional differential equations. Zbl 1348.34136
Wang, Dongling; Xiao, Aiguo; Liu, Hongliang
14
2015
Fractional variational integrators for fractional variational problems. Zbl 1239.49028
Wang, Dongling; Xiao, Aiguo
12
2012
An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations. Zbl 1427.65189
Wang, Jun-jie; Xiao, Ai-guo
12
2018
Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations. Zbl 1429.65254
Wang, Junjie; Xiao, Aiguo
11
2019
Stability of analytical and numerical solutions of nonlinear stochastic delay differential equations. Zbl 1293.65011
Gan, Siqing; Xiao, Aiguo; Wang, Desheng
11
2014
Dissipativity and contractivity for fractional-order systems. Zbl 1345.37086
Wang, Dongling; Xiao, Aiguo
11
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
10
2019
Symplectic scheme for the Schrödinger equation with fractional Laplacian. Zbl 1423.81070
Xiao, Aiguo; Wang, Junjie
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
Strong convergence of the split-step theta method for neutral stochastic delay differential equations. Zbl 1370.65004
Yan, Zhiping; Xiao, Aiguo; Tang, Xiao
9
2017
Efficient weak second-order stochastic Runge-Kutta methods for Itô stochastic differential equations. Zbl 1359.60086
Tang, Xiao; Xiao, Aiguo
8
2017
Parametric symplectic partitioned Runge-Kutta methods with energy-preserving properties for Hamiltonian systems. Zbl 1305.65240
Wang, Dongling; Xiao, Aiguo; Li, Xueyang
7
2013
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
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
7
2019
Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation. Zbl 1419.65079
Huang, Yunqing; Li, Xueyang; Xiao, Aiguo
6
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
5
2012
Fractional variational integrators for fractional Euler-Lagrange equations with holonomic constraints. Zbl 1261.35149
Wang, Dongling; Xiao, Aiguo
5
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
Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems. Zbl 1338.65179
Xiao, Aiguo; Zhang, Gengen; Yi, Xing
5
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
4
2019
Variational iteration method for singular perturbation initial value problems. Zbl 1205.65210
Zhao, Yongxiang; Xiao, Aiguo
4
2010
On the order of \(B\)-convergence of Runge-Kutta methods. Zbl 0782.65097
Xiao, Aiguo
4
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
4
2013
Well-posedness and EM approximations for non-Lipschitz stochastic fractional integro-differential equations. Zbl 07069144
Dai, Xinjie; Bu, Weiping; Xiao, Aiguo
4
2019
Asymptotically optimal approximation of some stochastic integrals and its applications to the strong second-order methods. Zbl 1415.60057
Tang, Xiao; Xiao, Aiguo
4
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
4
2019
Long-time behavior of numerical solutions to nonlinear fractional ODEs. Zbl 1441.65059
Wang, Dongling; Xiao, Aiguo; Zou, Jun
4
2020
Convergence of variational iteration method for second-order delay differential equations. Zbl 1266.65102
Liu, Hongliang; Xiao, Aiguo; Su, Lihong
3
2013
Variational iteration method for delay differential-algebraic equations. Zbl 1371.65073
Liu, Hongliang; Xiao, Aiguo; Zhao, Yongxiang
3
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
3
2000
Convergence results of Runge-Kutta methods for multiply-stiff singular perturbation problems. Zbl 1019.65058
Xiao, Aiguo
3
2002
Stability and convergence analysis of implicit-explicit one-leg methods for stiff delay differential equations. Zbl 1355.65085
Zhang, Gengen; Xiao, Aiguo
3
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
3
2014
Exact and numerical stability analysis of reaction-diffusion equations with distributed delays. Zbl 1332.65130
Zhang, Gengen; Xiao, Aiguo
3
2016
An efficient numerical method for fractional differential equations with two Caputo derivatives. Zbl 1363.65120
Yang, Shuiping; Xiao, Aiguo
3
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
3
2020
Dependence analysis of the solutions on the parameters of fractional delay differential equations. Zbl 1262.34009
Yang, Shuiping; Xiao, Aiguo; Pan, Xinyuan
2
2011
Order properties of symplectic Runge-Kutta-Nyström methods. Zbl 1155.65396
Xiao, Aiguo; Tang, Yifa
2
2004
Convergence results of two-step W-methods for two-parameter singular perturbation problems. Zbl 1125.65065
Liu, Jialan; Xiao, Aiguo
2
2007
Dissipativity of general linear methods. Zbl 0863.65041
Xiao, Aiguo
2
1996
Parallel two-step ROW-methods for stiff delay differential equations. Zbl 1172.65042
Zhu, Qiao; Xiao, Aiguo
2
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
2
2016
Variational iteration method for singular perturbation initial value problems with delays. Zbl 1407.65088
Zhao, Yongxiang; Xiao, Aiguo; Li, Li; Zhang, Chengjian
2
2014
An IMEX-BDF2 compact scheme for pricing options under regime-switching jump-diffusion models. Zbl 1417.65150
Chen, Yingzi; Xiao, Aiguo; Wang, Wansheng
2
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
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
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
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
Convergence of linear multistep methods for two-parameter singular perturbation problems. Zbl 0990.65089
Xiao, Aiguo; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
1
2001
On the solvability of general linear methods for dissipative dynamical systems. Zbl 0979.65114
Xiao, Aiguo
1
2000
\((\vec \theta, p, q)\)-algebraic stability of Runge-Kutta methods. Zbl 0850.65155
Xiao, Aiguo
1
1993
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
Regularity properties of one-leg methods for delay differential equations. Zbl 0989.65080
Xiao, Ai-Guo; Tang, Yi-Fa
1
2001
Is the formal energy of the mid-point rule convergent? Zbl 1050.65128
Tang, Yi-Fa; Xiao, Ai-Guo; Chen, Jing-Bo
1
2002
Symplectic properties of multistep Runge-Kutta methods. Zbl 1036.65111
Xiao, Ai-Guo; Tang, Yi-Fa
1
2002
B-convergence of general linear methods for stiff problems. Zbl 1067.65080
Huang, Chengming; Chang, Qianshun; Xiao, Aiguo
1
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
1
2000
Quadratic invariants and symplectic structure of general linear methods. Zbl 0984.65130
Xiao, Aiguo; Li, Shoufu; Yang, Min
1
2001
Modeling anomalous diffusion by a subordinated integrated Brownian motion. Zbl 1400.60102
Shi, Long; Xiao, Aiguo
1
2017
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
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
1
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
1
2008
Asymptotic behavior of solutions to time fractional neutral functional differential equations. Zbl 1450.34051
Wang, Dongling; Xiao, Aiguo; Sun, Suzhen
1
2021
Asymptotic behavior of solutions to time fractional neutral functional differential equations. Zbl 1450.34051
Wang, Dongling; Xiao, Aiguo; Sun, Suzhen
1
2021
Long-time behavior of numerical solutions to nonlinear fractional ODEs. Zbl 1441.65059
Wang, Dongling; Xiao, Aiguo; Zou, Jun
4
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
3
2020
Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations. Zbl 1429.65254
Wang, Junjie; Xiao, Aiguo
11
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
10
2019
Symplectic scheme for the Schrödinger equation with fractional Laplacian. Zbl 1423.81070
Xiao, Aiguo; Wang, Junjie
10
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
7
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
4
2019
Well-posedness and EM approximations for non-Lipschitz stochastic fractional integro-differential equations. Zbl 07069144
Dai, Xinjie; Bu, Weiping; Xiao, Aiguo
4
2019
Asymptotically optimal approximation of some stochastic integrals and its applications to the strong second-order methods. Zbl 1415.60057
Tang, Xiao; Xiao, Aiguo
4
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
4
2019
An IMEX-BDF2 compact scheme for pricing options under regime-switching jump-diffusion models. Zbl 1417.65150
Chen, Yingzi; Xiao, Aiguo; Wang, Wansheng
2
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
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
An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations. Zbl 1427.65189
Wang, Jun-jie; Xiao, Ai-guo
12
2018
Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation. Zbl 1419.65079
Huang, Yunqing; Li, Xueyang; Xiao, Aiguo
6
2018
Finite difference/finite element methods for distributed-order time fractional diffusion equations. Zbl 1375.65110
Bu, Weiping; Xiao, Aiguo; Zeng, Wei
24
2017
Strong convergence of the split-step theta method for neutral stochastic delay differential equations. Zbl 1370.65004
Yan, Zhiping; Xiao, Aiguo; Tang, Xiao
9
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
3
2016
Exact and numerical stability analysis of reaction-diffusion equations with distributed delays. Zbl 1332.65130
Zhang, Gengen; Xiao, Aiguo
3
2016
An efficient numerical method for fractional differential equations with two Caputo derivatives. Zbl 1363.65120
Yang, Shuiping; 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
2
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
1
2016
Maximum-norm error analysis of a difference scheme for the space fractional CNLS. Zbl 1339.65137
Wang, Dongling; Xiao, Aiguo; Yang, Wei
43
2015
Dissipativity and stability analysis for fractional functional differential equations. Zbl 1348.34136
Wang, Dongling; Xiao, Aiguo; Liu, Hongliang
14
2015
Dissipativity and contractivity for fractional-order systems. Zbl 1345.37086
Wang, Dongling; Xiao, Aiguo
11
2015
A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations. Zbl 1349.65339
Wang, Dongling; Xiao, Aiguo; Yang, Wei
56
2014
Stability of analytical and numerical solutions of nonlinear stochastic delay differential equations. Zbl 1293.65011
Gan, Siqing; Xiao, Aiguo; Wang, Desheng
11
2014
Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems. Zbl 1338.65179
Xiao, Aiguo; Zhang, Gengen; Yi, Xing
5
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
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
72
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
Fractional variational integrators for fractional Euler-Lagrange equations with holonomic constraints. Zbl 1261.35149
Wang, Dongling; Xiao, Aiguo
5
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
4
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
12
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
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
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
Convergence of the variational iteration method for solving multi-order fractional differential equations. Zbl 1207.65109
Yang, Shuiping; Xiao, Aiguo; Su, Hong
23
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
22
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
2
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
3
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
Symplectic properties of multistep Runge-Kutta methods. Zbl 1036.65111
Xiao, Ai-Guo; Tang, Yi-Fa
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
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
Quadratic invariants and symplectic structure of general linear methods. Zbl 0984.65130
Xiao, Aiguo; Li, Shoufu; Yang, Min
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
On the solvability of general linear methods for dissipative dynamical systems. Zbl 0979.65114
Xiao, Aiguo
1
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
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 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
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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.
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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
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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
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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
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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
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1 Systems & Control Letters
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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
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1 Taiwanese Journal of Mathematics
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