Aiguo Xiao
Orcid: 0000-0003-2075-5040
According to our database1,
Aiguo Xiao
authored at least 58 papers
between 2000 and 2024.
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Bibliography
2024
The extended block generalized Störmer-Cowell methods for second-order nonlinear delay-differential-algebraic equations with index-1.
J. Comput. Appl. Math., April, 2024
2023
An efficient numerical method on modified space-time sparse grid for time-fractional diffusion equation with nonsmooth data.
Numer. Algorithms, December, 2023
Singular stochastic Volterra integral equations with Mittag-Leffler kernels: well-posedness and strong convergence of <i>θ</i>-Maruyama method.
Int. J. Comput. Math., June, 2023
Fast $$\theta $$-Maruyama scheme for stochastic Volterra integral equations of convolution type: mean-square stability and strong convergence analysis.
Comput. Appl. Math., April, 2023
Dissipativity and contractivity of the second-order averaged L1 method for fractional Volterra functional differential equations.
Networks Heterog. Media, 2023
Optimal L<sup>∞</sup>(L<sup>2</sup>) and L<sup>1</sup>(L<sup>2</sup>) a posteriori error estimates for the fully discrete approximations of time fractional parabolic differential equations.
CoRR, 2023
2022
L1 Method on Nonuniform Meshes for Linear Time-Fractional Diffusion Equations with Constant Time Delay.
J. Sci. Comput., 2022
2021
Efficient difference method for time-space fractional diffusion equation with Robin fractional derivative boundary condition.
Numer. Algorithms, 2021
Space-Fractional Diffusion Equation with Variable Coefficients: Well-posedness and Fourier Pseudospectral Approximation.
J. Sci. Comput., 2021
Asymptotic behavior of solutions to time fractional neutral functional differential equations.
J. Comput. Appl. Math., 2021
Fourier spectral method on sparse grids for computing ground state of many-particle fractional Schrödinger equations.
Int. J. Comput. Math., 2021
A note on Euler method for the overdamped generalized Langevin equation with fractional noise.
Appl. Math. Lett., 2021
2020
A Posteriori Error Estimates for Fully Discrete Finite Element Method for Generalized Diffusion Equation with Delay.
J. Sci. Comput., 2020
Finite Difference/Finite Element Method for Tempered Time Fractional Advection-Dispersion Equation with Fast Evaluation of Caputo Derivative.
J. Sci. Comput., 2020
A fast finite difference/finite element method for the two-dimensional distributed-order time-space fractional reaction-diffusion equation.
Int. J. Model. Simul. Sci. Comput., 2020
Comput. Appl. Math., 2020
2019
New explicit stabilized stochastic Runge-Kutta methods with weak second order for stiff Itô stochastic differential equations.
Numer. Algorithms, 2019
An h-p version of the continuous Petrov-Galerkin finite element method for Riemann-Liouville fractional differential equation with novel test basis functions.
Numer. Algorithms, 2019
Well-posedness and EM approximations for non-Lipschitz stochastic fractional integro-differential equations.
J. Comput. Appl. Math., 2019
Numerical solutions of SDEs with Markovian switching and jumps under non-Lipschitz conditions.
J. Comput. Appl. Math., 2019
Space-time finite element method for the multi-term time-space fractional diffusion equation on a two-dimensional domain.
Comput. Math. Appl., 2019
Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg-Landau equations.
Appl. Math. Lett., 2019
Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations.
Appl. Math. Comput., 2019
Asymptotically optimal approximation of some stochastic integrals and its applications to the strong second-order methods.
Adv. Comput. Math., 2019
2018
Implicit-explicit multistep finite-element methods for nonlinear convection-diffusion-reaction equations with time delay.
Int. J. Comput. Math., 2018
Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation.
Comput. Math. Appl., 2018
An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations.
Appl. Math. Comput., 2018
2017
Finite Difference/Finite Element Methods for Distributed-Order Time Fractional Diffusion Equations.
J. Sci. Comput., 2017
2016
High strong order stochastic Runge-Kutta methods for Stratonovich stochastic differential equations with scalar noise.
Numer. Algorithms, 2016
The asymptotic behaviour of the <i>θ</i>-methods with constant stepsize for the generalized pantograph equation.
Int. J. Comput. Math., 2016
Stability and convergence analysis of implicit-explicit one-leg methods for stiff delay differential equations.
Int. J. Comput. Math., 2016
Implicit-explicit time discretization coupled with finite element methods for delayed predator-prey competition reaction-diffusion system.
Comput. Math. Appl., 2016
2015
Appl. Math. Comput., 2015
2014
A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations.
J. Comput. Phys., 2014
Time-splitting finite difference method with the wavelet-adaptive grids for semiclassical Gross-Pitaevskii equation in supercritical case.
J. Comput. Phys., 2014
Stability of analytical and numerical solutions of nonlinear stochastic delay differential equations.
J. Comput. Appl. Math., 2014
Finite Difference and Sinc-Collocation Approximations to a Class of Fractional Diffusion-Wave Equations.
J. Appl. Math., 2014
Int. J. Model. Simul. Sci. Comput., 2014
Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems.
Appl. Math. Comput., 2014
2013
Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative.
J. Comput. Phys., 2013
J. Appl. Math., 2013
J. Appl. Math., 2013
Convergence of Variational Iteration Method for Second-Order Delay Differential Equations.
J. Appl. Math., 2013
Parametric symplectic partitioned Runge-Kutta methods with energy-preserving properties for Hamiltonian systems.
Comput. Phys. Commun., 2013
Fractional variational integrators for fractional Euler-Lagrange equations with holonomic constraints.
Commun. Nonlinear Sci. Numer. Simul., 2013
2011
Convergence of the variational iteration method for solving multi-delay differential equations.
Comput. Math. Appl., 2011
Generations and mechanisms of multi-stripe chaotic attractors of fractional order dynamic system.
Appl. Math. Comput., 2011
2010
Weighted finite difference methods for a class of space fractional partial differential equations with variable coefficients.
J. Comput. Appl. Math., 2010
Comput. Phys. Commun., 2010
Convergence of the variational iteration method for solving multi-order fractional differential equations.
Comput. Math. Appl., 2010
2009
Appl. Math. Comput., 2009
2008
Error analysis of Parallel Multivalue Hybrid Methods for index-2 Differential-Algebraic Equations.
Int. J. Comput. Sci. Math., 2008
2007
Error analysis of variable stepsize Runge-Kutta methods for a class of multiply-stiff singular perturbation problems.
Comput. Math. Appl., 2007
Convergence results of two-step W-methods for two-parameter singular perturbation problems.
Appl. Math. Comput., 2007
2006
Appl. Math. Comput., 2006
2001
Convergence Results of One-Leg and Linear Multistep Methods for Multiply Stiff Singular Perturbation Problems.
Computing, 2001
2000
short communication: Error of Partitioned Runge-Kutta Methods for Multiple Stiff Singular Perturbation Problems.
Computing, 2000