Equilibrium attractive properties of a class of multistep Runge-Kutta methods. - Aiguo Xiao; Yifa Tang (Appl. Math. Comput., 2006)

Features of seepage of a liquid to a Chink in the cracked Deformable Layer. - Temirkhan S. Aleroev; Hedi T. Aleroeva; Jianfei Huang; Ningming Nie; Yifa Tang; Siyan Zhang (Int. J. Model. Simul. Sci. Comput., 2010)

Implementing arbitrarily High-order symplectic Methods via Krylov Deferred correction Technique. - Quan-Dong Feng; Jingfang Huang; Ningming Nie; Zaijiu Shang; Yifa Tang (Int. J. Model. Simul. Sci. Comput., 2010)

Solving two-Point boundary Value Problems of fractional differential equations via spline collocation Methods. - Ningming Nie; Yanmin Zhao; Min Li; Xiangtao Liu; Salvador Jiménez; Yifa Tang; Luis Vázquez (Int. J. Model. Simul. Sci. Comput., 2010)

Symplectic wavelet collocation method for Hamiltonian wave equations. - Huajun Zhu; Lingyan Tang; Songhe Song; Yifa Tang; Desheng Wang (J. Comput. Phys., 2010)

The Grünwald-Letnikov method for fractional differential equations. - Rudolf Scherer; Shyam L. Kalla; Yifa Tang; Jianfei Huang (Comput. Math. Appl., 2011)

Multi-symplectic wavelet collocation method for the nonlinear Schrödinger equation and the Camassa-Holm equation. - Huajun Zhu; Songhe Song; Yifa Tang (Comput. Phys. Commun., 2011)

A Compact Difference Scheme for Time Fractional Diffusion Equation with Neumann Boundary Conditions. - Jianfei Huang; Yifa Tang; Wenjia Wang; Jiye Yang (AsiaSim (1), 2012)

Two finite difference schemes for time fractional diffusion-wave equation. - Jianfei Huang; Yifa Tang; Luis Vázquez; Jiye Yang (Numer. Algorithms, 2013)

Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations. - Weiping Bu; Yifa Tang; Jiye Yang (J. Comput. Phys., 2014)

Crank-Nicolson ADI Galerkin finite element method for two-dimensional fractional FitzHugh-Nagumo monodomain model. - Weiping Bu; Yifa Tang; Yingchuan Wu; Jiye Yang (Appl. Math. Comput., 2015)

Finite element method for two-dimensional space-fractional advection-dispersion equations. - Yanmin Zhao; Weiping Bu; Jianfei Huang; Da-Yan Liu; Yifa Tang (Appl. Math. Comput., 2015)

Finite element multigrid method for multi-term time fractional advection diffusion equations. - Weiping Bu; Xiangtao Liu; Yifa Tang; Jiye Yang (Int. J. Model. Simul. Sci. Comput., 2015)

Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations. - Weiping Bu; Yifa Tang; Yingchuan Wu; Jiye Yang (J. Comput. Phys., 2015)

Symmetric and symplectic methods for gyrocenter dynamics in time-independent magnetic fields. - Beibei Zhu; Zhenxuan Hu; Yifa Tang; Ruili Zhang (Int. J. Model. Simul. Sci. Comput., 2016)

Splitting K-symplectic methods for non-canonical separable Hamiltonian problems. - Beibei Zhu; Ruili Zhang; Yifa Tang; Xiongbiao Tu; Yue Zhao 021 (J. Comput. Phys., 2016)

Boundary value problems of fractional Fokker-Planck equations. - Temirkhan S. Aleroev; Hedi T. Aleroeva; Jianfei Huang; Mikhail V. Tamm; Yifa Tang; Yue Zhao 021 (Comput. Math. Appl., 2017)

High accuracy analysis of an -Galerkin mixed finite element method for two-dimensional time fractional diffusion equations. - Z. G. Shi; Yanmin Zhao; Fawang Liu; Yifa Tang; Fenling Wang; Yanhua Shi (Comput. Math. Appl., 2017)

Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. - Yanmin Zhao; Yadong Zhang; Fawang Liu; Ian W. Turner; Yifa Tang; Vo V. Anh (Comput. Math. Appl., 2017)

Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative. - Sadia Arshad; Jianfei Huang; Abdul Q. M. Khaliq; Yifa Tang (J. Comput. Phys., 2017)

Galerkin finite element method for two-dimensional space and time fractional Bloch-Torrey equation. - Yue Zhao 021; Weiping Bu; Xuan Zhao 004; Yifa Tang (J. Comput. Phys., 2017)

Two Mixed Finite Element Methods for Time-Fractional Diffusion Equations. - Yanmin Zhao; Pan Chen; Weiping Bu; Xiangtao Liu; Yifa Tang (J. Sci. Comput., 2017)

Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes. - Z. G. Shi; Yanmin Zhao; Fawang Liu; Fenling Wang; Yifa Tang (Appl. Math. Comput., 2018)

Finite Difference Method for Time-Space Fractional Advection-Diffusion Equations with Riesz Derivative. - Sadia Arshad; Dumitru Baleanu; Jianfei Huang; Maysaa Mohamed Al Qurashi; Yifa Tang; Yue Zhao 021 (Entropy, 2018)

Finite difference method for time-space linear and nonlinear fractional diffusion equations. - Sadia Arshad; Weiping Bu; Jianfei Huang; Yifa Tang; Yue Zhao 021 (Int. J. Comput. Math., 2018)

Recent trends in highly accurate and structure-preserving numerical methods for partial differential equations. - Qin Sheng; Yifa Tang; Bruce A. Wade; Yushun Wang (Int. J. Comput. Math., 2018)

Superconvergence analysis of an H1-Galerkin mixed finite element method for two-dimensional multi-term time fractional diffusion equations. - Zhengguang Shi; Yanmin Zhao; Yifa Tang; Fenling Wang; Yanhua Shi (Int. J. Comput. Math., 2018)

High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes. - Y. D. Zhang; Yanmin Zhao; Fenling Wang; Yifa Tang (Int. J. Comput. Math., 2018)

A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient. - Fenling Wang; Yanmin Zhao; Chen Chen; Yabing Wei; Yifa Tang (Comput. Math. Appl., 2019)

Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain. - Yanmin Zhao; Fenling Wang; Xiaohan Hu; Zhengguang Shi; Yifa Tang (Comput. Math. Appl., 2019)

L1 scheme on graded mesh for the linearized time fractional KdV equation with initial singularity. - Hu Chen 001; Xiaohan Hu; Jincheng Ren; Tao Sun 014; Yifa Tang (Int. J. Model. Simul. Sci. Comput., 2019)

Energy-preserving algorithm for gyrocenter dynamics of charged particles. - Ruili Zhang; Jian Liu 005; Hong Qin 002; Yifa Tang (Numer. Algorithms, 2019)

Symplectic simulation of dark solitons motion for nonlinear Schrödinger equation. - Beibei Zhu; Yifa Tang; Ruili Zhang; Yihao Zhang (Numer. Algorithms, 2019)

Symplectic networks: Intrinsic structure-preserving networks for identifying Hamiltonian systems. - Pengzhan Jin; Aiqing Zhu; George Em Karniadakis; Yifa Tang (CoRR, 2020)

Deep Hamiltonian networks based on symplectic integrators. - Aiqing Zhu; Pengzhan Jin; Yifa Tang (CoRR, 2020)

Inverse modified differential equations for discovery of dynamics. - Aiqing Zhu; Pengzhan Jin; Yifa Tang (CoRR, 2020)

Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient. - Yanhua Shi; Yanmin Zhao; Fenling Wang; Yifa Tang (Int. J. Comput. Math., 2020)

Finite element methods for fractional diffusion equations. - Yue Zhao 021; Chen Shen; Min Qu; Weiping Bu; Yifa Tang (Int. J. Model. Simul. Sci. Comput., 2020)

Spectrally accurate space-time solution of Manakov systems. - Luigi Barletti; Luigi Brugnano; Yifa Tang; Beibei Zhu (J. Comput. Appl. Math., 2020)

Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness. - Pengzhan Jin; Lu Lu 010; Yifa Tang; George Em Karniadakis (Neural Networks, 2020)

SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems. - Pengzhan Jin; Zhen Zhang 029; Aiqing Zhu; Yifa Tang; George Em Karniadakis (Neural Networks, 2020)

Unit Triangular Factorization of the Matrix Symplectic Group. - Pengzhan Jin; Yifa Tang; Aiqing Zhu (SIAM J. Matrix Anal. Appl., 2020)

A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations. - Jingna Zhang; Jianfei Huang; Temirkhan S. Aleroev; Yifa Tang (Int. J. Comput. Math., 2021)

Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative. - Jianfei Huang; Zhi Qiao; Jingna Zhang; Sadia Arshad; Yifa Tang (J. Appl. Math. Comput., 2021)

On Numerical Integration in Neural Ordinary Differential Equations. - Aiqing Zhu; Pengzhan Jin; Beibei Zhu; Yifa Tang (ICML, 2022)

A modified EM method and its fast implementation for multi-term Riemann-Liouville stochastic fractional differential equations. - Jingna Zhang; Jianfei Huang; Yifa Tang; Luis Vázquez (CoRR, 2022)

Poisson Integrators based on splitting method for Poisson systems. - Beibei Zhu; Lun Ji; Aiqing Zhu; Yifa Tang (CoRR, 2022)

Explicit K-symplectic methods for nonseparable non-canonical Hamiltonian systems. - Beibei Zhu; Lun Ji; Aiqing Zhu; Yifa Tang (CoRR, 2022)

VPNets: Volume-preserving neural networks for learning source-free dynamics. - Aiqing Zhu; Beibei Zhu; Jiawei Zhang; Yifa Tang; Jian Liu 005 (J. Comput. Appl. Math., 2022)

A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition. - Yue Zhao; Zhiping Mao; Ling Guo; Yifa Tang; George Em Karniadakis (J. Comput. Phys., 2022)

Approximation capabilities of measure-preserving neural networks. - Aiqing Zhu; Pengzhan Jin; Yifa Tang (Neural Networks, 2022)

Highly Efficient Numerical Integrator for the Circular Restricted Three-Body Problem. - Xiongbiao Tu; Qiao Wang; Yifa Tang (Symmetry, 2022)

Two fast numerical methods for a generalized Oldroyd-B fluid model. - Weiping Bu; Huimin Yang; Yifa Tang (Commun. Nonlinear Sci. Numer. Simul., 2023)

A fast Euler-Maruyama method for fractional stochastic differential equations. - Jingna Zhang; Yifa Tang; Jianfei Huang (J. Appl. Math. Comput., 2023)

Superconvergence analysis of nonconforming finite element method for two-dimensional time-fractional Allen-Cahn equation. - Yabing Wei; Yanmin Zhao; Fenling Wang; Yifa Tang (Appl. Math. Lett., 2023)

Convergence and superconvergence analysis of finite element methods for nonlinear Ginzburg-Landau equation with Caputo derivative. - Fang Chen; Meng Li 025; Yanmin Zhao; Yifa Tang (Comput. Appl. Math., 2023)

Finite element method for a generalized constant delay diffusion equation. - Weiping Bu; Sizhu Guan; Xiaohong Xu; Yifa Tang (Commun. Nonlinear Sci. Numer. Simul., 2024)

A fast Euler-Maruyama scheme and its strong convergence for multi-term Caputo tempered fractional stochastic differential equations. - Jingna Zhang; Yifa Tang (Commun. Nonlinear Sci. Numer. Simul., 2024)

Generalized Lagrangian Neural Networks. - Shanshan Xiao; Jiawei Zhang; Yifa Tang (CoRR, 2024)

Learning solution operators of PDEs defined on varying domains via MIONet. - Shanshan Xiao; Pengzhan Jin; Yifa Tang (CoRR, 2024)

The Unisolvence of Lagrange Interpolation with Symmetric Interpolation Space and Nodes in High Dimension. - Yulin Xie; Yifa Tang (CoRR, 2024)

A deformation-based framework for learning solution mappings of PDEs defined on varying domains. - Shanshan Xiao; Pengzhan Jin; Yifa Tang (CoRR, 2024)

Solving parametric elliptic interface problems via interfaced operator network. - Sidi Wu; Aiqing Zhu; Yifa Tang; Benzhuo Lu (J. Comput. Phys., 2024)

Implementation and (Inverse Modified) Error Analysis for Implicitly Templated ODE-Nets. - Aiqing Zhu; Tom Bertalan; Beibei Zhu; Yifa Tang; Ioannis G. Kevrekidis (SIAM J. Appl. Dyn. Syst., 2024)

Error Analysis Based on Inverse Modified Differential Equations for Discovery of Dynamics Using Linear Multistep Methods and Deep Learning. - Aiqing Zhu; Sidi Wu; Yifa Tang (SIAM J. Numer. Anal., 2024)

Effective numerical simulations of synchronous generator system. - Jiawei Zhang; Aiqing Zhu; Feng Ji; Chang Lin; Yifa Tang (Simul., 2024)

Structure-Preserving Recurrent Neural Networks for a Class of Birkhoffian Systems. - Shanshan Xiao; Mengyi Chen; Ruili Zhang; Yifa Tang (J. Syst. Sci. Complex., 2024)

Effective numerical simulation of time fractional KdV equation with weakly singular solutions. - Hu Chen 001; Xiaotang Lin; Tao Sun 014; Yifa Tang; Jingna Zhang (Int. J. Model. Simul. Sci. Comput., 2024)

Structure-Preserving Algorithm and Its Error Estimate for the Relativistic Charged-Particle Dynamics Under the Strong Magnetic Field. - Ruili Zhang; Tong Liu; Bin Wang 016; Jian Liu 005; Yifa Tang (J. Sci. Comput., 2024)

Forty years: Geometric numerical integration of dynamical systems in China. - Jianfei Huang; Na Liu 011; Yifa Tang; Ruili Zhang; Aiqing Zhu; Beibei Zhu (Int. J. Model. Simul. Sci. Comput., 2024)

Effective numerical simulation of fault transient system. - Sixu Wu; Feng Ji; Lu Gao; Ruili Zhang; Cunwei Tang; Yifa Tang (Int. J. Model. Simul. Sci. Comput., 2025)