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Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems

Communications in computational physics, 2023, Vol.33 (2), p.596-627

2023

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A fast Euler-Maruyama method for fractional stochastic differential equations

Journal of applied mathematics & computing, 2023-02, Vol.69 (1), p.273-291

2023

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Poisson Integrators Based on Splitting Method for Poisson Systems

Communications in computational physics, 2022, Vol.32 (4), p.1129-1155

2022

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Numerical Schemes for Time-Space Fractional Vibration Equations

Advances in applied mathematics and mechanics, 2021-08, Vol.13 (4), p.806-826

2021

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Explicit K-symplectic methods for nonseparable non-canonical Hamiltonian systems

Chinese physics B, 2023-02, Vol.32 (2), p.20204-88

2023

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Convergence and superconvergence analysis of finite element methods for nonlinear Ginzburg–Landau equation with Caputo derivative

Computational & applied mathematics, 2023-09, Vol.42 (6), Article 271

2023

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Structure-Preserving Recurrent Neural Networks for a Class of Birkhoffian Systems

Journal of systems science and complexity, 2024-04, Vol.37 (2), p.441-462

2024

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Effects of HIV infection on CD4+ T-cell population based on a fractional-order model

Advances in difference equations, 2017-03, Vol.2017 (1), Article 92

2017

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Mixed Spectral-Element Method for 3-D Maxwell's Eigenvalue Problem

IEEE transactions on microwave theory and techniques, 2015-02, Vol.63 (2), p.317-325

2015

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Highly Efficient Numerical Integrator for the Circular Restricted Three-Body Problem

Symmetry (Basel), 2022-09, Vol.14 (9), p.1769

2022

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Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field

Physics of plasmas, 2018-02, Vol.25 (2)

2018

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Alternating Direction Implicit Schemes for the Two-Dimensional Time Fractional Nonlinear Super-Diffusion Equations

Journal of computational mathematics, 2019-01, Vol.37 (3), p.297-315

2019

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A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients

East Asian journal on applied mathematics, 2021-02, Vol.11 (1), p.63-92

2021

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New high order symplectic integrators via generating functions with its application in many-body problem

BIT, 2020-06, Vol.60 (2), p.509-535

2020

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The Mixed Spectral-Element Method for Anisotropic, Lossy, and Open Waveguides

IEEE transactions on microwave theory and techniques, 2015-10, Vol.63 (10), p.3094-3102

2015

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Canonicalization and symplectic simulation of the gyrocenter dynamics in time-independent magnetic fields

Physics of plasmas, 2014-03, Vol.21 (3)

2014

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Symplectic wavelet collocation method for Hamiltonian wave equations

Journal of computational physics, 2010-04, Vol.229 (7), p.2550-2572

2010

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Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative

Journal of applied mathematics & computing, 2021-06, Vol.66 (1-2), p.561-579

2021

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Superconvergence Analysis of Anisotropic FEMs for Time Fractional Variable Coefficient Diffusion Equations

Bulletin of the Malaysian Mathematical Sciences Society, 2020-11, Vol.43 (6), p.4411-4429

2020

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A second order finite difference-spectral method for space fractional diffusion equations

Science China. Mathematics, 2014-06, Vol.57 (6), p.1303-1317

2014

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Finite Difference Method for Time-Space Fractional Advection-Diffusion Equations with Riesz Derivative

Entropy (Basel, Switzerland), 2018-04, Vol.20 (5), p.321

2018

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A fast Euler–Maruyama scheme and its strong convergence for multi-term Caputo tempered fractional stochastic differential equations

Communications in nonlinear science & numerical simulation, 2024-11, Vol.138, p.108253, Article 108253

2024

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Dynamical analysis of fractional order model of immunogenic tumors

Advances in mechanical engineering, 2016-07, Vol.8 (7)

2016

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High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation

East Asian journal on applied mathematics, 2019-11, Vol.9 (4), p.797-817

2019

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A novel numerical method for solving the Caputo-Fabrizio fractional differential equation

AIMS mathematics, 2023-01, Vol.8 (4), p.9535-9556

2023

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Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems

A fast Euler-Maruyama method for fractional stochastic differential equations

Poisson Integrators Based on Splitting Method for Poisson Systems

Numerical Schemes for Time-Space Fractional Vibration Equations

Explicit K-symplectic methods for nonseparable non-canonical Hamiltonian systems

Convergence and superconvergence analysis of finite element methods for nonlinear Ginzburg–Landau equation with Caputo derivative

Structure-Preserving Recurrent Neural Networks for a Class of Birkhoffian Systems

Effects of HIV infection on CD4+ T-cell population based on a fractional-order model

Mixed Spectral-Element Method for 3-D Maxwell's Eigenvalue Problem

Highly Efficient Numerical Integrator for the Circular Restricted Three-Body Problem

Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field

Alternating Direction Implicit Schemes for the Two-Dimensional Time Fractional Nonlinear Super-Diffusion Equations

A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients

New high order symplectic integrators via generating functions with its application in many-body problem

The Mixed Spectral-Element Method for Anisotropic, Lossy, and Open Waveguides

Canonicalization and symplectic simulation of the gyrocenter dynamics in time-independent magnetic fields

Symplectic wavelet collocation method for Hamiltonian wave equations

Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative

Superconvergence Analysis of Anisotropic FEMs for Time Fractional Variable Coefficient Diffusion Equations

A second order finite difference-spectral method for space fractional diffusion equations

Finite Difference Method for Time-Space Fractional Advection-Diffusion Equations with Riesz Derivative

A fast Euler–Maruyama scheme and its strong convergence for multi-term Caputo tempered fractional stochastic differential equations

Dynamical analysis of fractional order model of immunogenic tumors

High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation

A novel numerical method for solving the Caputo-Fabrizio fractional differential equation

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