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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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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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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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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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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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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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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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Dynamical analysis of fractional order model of immunogenic tumors

Advances in mechanical engineering, 2016-07, Vol.8 (7), p.168781401665670

2016

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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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Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations

Journal of computational physics, 2014-11, Vol.276, p.26-38

2014

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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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Energy-preserving numerical methods for Landau–Lifshitz equation

Journal of physics. A, Mathematical and theoretical, 2011-07, Vol.44 (29), p.295207-16

2011

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SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems

Neural networks, 2020-12, Vol.132 (C), p.166-179

2020

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Finite difference/finite element method for two-dimensional space and time fractional Bloch–Torrey equations

Journal of computational physics, 2015-07, Vol.293, p.264-279

2015

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Adaptive loss weighting auxiliary output fPINNs for solving fractional partial integro-differential equations

Physica. D, 2024-04, Vol.460, p.134066, Article 134066

2024

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Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness

Neural networks, 2020-10, Vol.130 (C), p.85-99

2020

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Approximation capabilities of measure-preserving neural networks

Neural networks, 2022-03, Vol.147, p.72-80

2022

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The Grünwald–Letnikov method for fractional differential equations

Computers & mathematics with applications (1987), 2011-08, Vol.62 (3), p.902-917

2011

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Two fast numerical methods for a generalized Oldroyd-B fluid model

Communications in nonlinear science & numerical simulation, 2023-02, Vol.117, p.106963, Article 106963

2023

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Convergence analysis of the formal energies of symplectic methods for Hamiltonian systems

Science China. Mathematics, 2016-02, Vol.59 (2), p.379-396

2016

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A fast Euler-Maruyama method for fractional stochastic differential equations

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

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

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

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

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

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

Dynamical analysis of fractional order model of immunogenic tumors

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

Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations

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

Energy-preserving numerical methods for Landau–Lifshitz equation

SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems

Finite difference/finite element method for two-dimensional space and time fractional Bloch–Torrey equations

Adaptive loss weighting auxiliary output fPINNs for solving fractional partial integro-differential equations

Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness

Approximation capabilities of measure-preserving neural networks

The Grünwald–Letnikov method for fractional differential equations

Two fast numerical methods for a generalized Oldroyd-B fluid model

Convergence analysis of the formal energies of symplectic methods for Hamiltonian systems

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