Fanhai Zeng

发表

A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations

Stephen J. Wright, Kevin Burrage, Fanhai Zeng, 2019, J. Comput. Phys..

Second-order numerical methods for multi-term fractional differential equations: Smooth and non-smooth solutions☆

G. Karniadakis, Fanhai Zeng, Zhongqiang Zhang, 2017, 1701.00996.

Numerical Methods for Fractional Calculus

Fanhai Zeng, Changpin Li, 2015 .

Spectral approximations to the fractional integral and derivative

Fanhai Zeng, Fawang Liu, Changpin Li, 2012 .

Numerical approach to the Caputo derivative of the unknown function

Fanhai Zeng, Changpin Li, 2013 .

The Finite Difference Methods for Fractional Ordinary Differential Equations

Fanhai Zeng, Changpin Li, 2013 .

N A ] 1 6 A pr 2 01 9 A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations

G. Karniadakis, Fanhai Zeng, Hui Zhang, 2019 .

Equivalent system for a multiple-rational-order fractional differential system

Jürgen Kurths, Changpin Li, Fanhai Zeng, 2013, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

fractional differential system Equivalent system for a multiple-rational-order

J. Kurths, Fanhai Zeng, Changpin Li, 2013 .

Numerical Analysis of Linear and Nonlinear Time-Fractional Subdiffusion Equations

Fanhai Zeng, Yubo Yang, 2019, Communications on Applied Mathematics and Computation.

N A ] 1 1 A ug 2 01 8 A NEW CLASS OF SEMI-IMPLICIT METHODS WITH LINEAR COMPLEXITY FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

K. Burrage, Fanhai Zeng, I. Turner, 2022 .

Fractional differentiation matrices with applications

Fanhai Zeng, Changpin Li, 2014, 1404.4429.

Optimal order finite element approximations for variable-order time-fractional diffusion equations

Fanhai Zeng, Xiangcheng Zheng, Hong Wang, 2019, 1905.05732.

Finite element methods for fractional differential equations

Changpin Li, Fanhai Zeng, Fanhai Zeng, 2013 .

N A ] 2 6 A pr 2 01 9 A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations

Stephen J. Wright, K. Burrage, Fanhai Zeng, 2019 .

A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations

Zhongqiang Zhang, George E. Karniadakis, Fanhai Zeng, 2015, SIAM J. Sci. Comput..

A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators

K. Burrage, Fanhai Zeng, Ian L Turner, 2018, Journal of Scientific Computing.

Implicit-Explicit diﬀerence schemes for nonlinear fractional diﬀerential equations with non-smooth solutions

G. Karniadakis, Fanhai Zeng, Zhongqiang Zhang, 2017 .

High-order explicit-implicit numerical methods for nonlinear anomalous diffusion equations

Fanhai Zeng, F. Liu, C. Li, 2013, The European Physical Journal Special Topics.

Finite difference Methods for fractional differential equations

Changpin Li, Fanhai Zeng, Fanhai Zeng, 2012, Int. J. Bifurc. Chaos.

A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

Fawang Liu, Changpin Li, Vo V. Anh, 2014, SIAM J. Numer. Anal..

Finite difference method for time-space-fractional Schrödinger equation

Qun Liu, Changpin Li, Fanhai Zeng, 2015, Int. J. Comput. Math..

Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes

Wei Cai, Wen Chen, George E. Karniadakis, 2017, Comput. Math. Appl..

The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation

Fawang Liu, Changpin Li, Ian W. Turner, 2013, SIAM J. Sci. Comput..

Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy

Fawang Liu, Changpin Li, Ian W. Turner, 2015, SIAM J. Sci. Comput..

Analysis of a Backward Euler-type Scheme for Maxwell's Equations in a Havriliak-Negami Dispersive Medium pdf

Li-Lian Wang, Fanhai Zeng, Yubo Yang, 2020, ESAIM: Mathematical Modelling and Numerical Analysis.

Splitting physics-informed neural networks for inferring the dynamics of integer- and fractional-order neuron models

Fanhai Zeng, G. Karniadakis, S. Shekarpaz, 2023, Communications in Computational Physics.

An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations

Fawang Liu, Fanhai Zeng, Zeting Liu, 2018, Applied Numerical Mathematics.

Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions

Wanrong Cao, Zhongqiang Zhang, George E. Karniadakis, 2016, SIAM J. Sci. Comput..

Optimal Error Estimates of Spectral Petrov-Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations

Zhongqiang Zhang, George E. Karniadakis, Fanhai Zeng, 2015, SIAM J. Numer. Anal..

Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations

George Em Karniadakis, Ling Guo, Kevin Burrage, 2018, SIAM J. Sci. Comput..

An H1 convergence of the spectral method for the time-fractional non-linear diffusion equations

Hui Zhang, Xiaoyun Jiang, Fanhai Zeng, 2021, Advances in Computational Mathematics.

A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation

Fawang Liu, Hui Zhang, Ian W. Turner, 2018, Comput. Math. Appl..

Numerical Analysis of Linear and Nonlinear Time-Fractional Subdiffusion Equations

Fanhai Zeng, Yubo Yang, 2019, Communications on Applied Mathematics and Computation.

Energy-conserved splitting spectral methods for two dimensional Maxwell's equations

Dong Liang, Heping Ma, Fanhai Zeng, 2014, J. Comput. Appl. Math..

A class of efficient time-stepping methods for multi-term time-fractional reaction-diffusion-wave equations

Fanhai Zeng, Baoli Yin, Yang Liu, 2021, Applied Numerical Mathematics.

Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations pdf

Xiaoyun Jiang, Fanhai Zeng, Hui Zhang, 2020, Fractional Calculus and Applied Analysis.

A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations

Ian W. Turner, George E. Karniadakis, Kevin Burrage, 2018, SIAM J. Sci. Comput..

A tunable finite difference method for fractional differential equations with non-smooth solutions

George Em Karniadakis, Fanhai Zeng, G. Karniadakis, 2017 .

A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators

Ian W. Turner, Kevin Burrage, Fanhai Zeng, 2017, J. Sci. Comput..

Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations

Zhongqiang Zhang, George E. Karniadakis, Fanhai Zeng, 2016, J. Comput. Phys..

Second-Order Stable Finite Difference Schemes for the Time-Fractional Diffusion-Wave Equation

Fanhai Zeng, Fanhai Zeng, 2014, J. Sci. Comput..

Second-Order Stable Finite Difference Schemes for the Time-Fractional Diffusion-Wave Equation

Fanhai Zeng, 2014, Journal of Scientific Computing.

A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations

Hui Zhang, George Em Karniadakis, Xiaoyun Jiang, 2019, J. Comput. Phys..

Bi-orthogonal fPINN: A physics-informed neural network method for solving time-dependent stochastic fractional PDEs

G. Karniadakis, Fanhai Zeng, Ling Guo, 2023, ArXiv.

A new Crank–Nicolson finite element method for the time-fractional subdiffusion equation☆

Changpin Li, Fanhai Zeng, Fanhai Zeng, 2017 .

A Unified Fast Memory-Saving Time-Stepping Method for Fractional Operators and Its Applications

Fanhai Zeng, Ling Guo, Rongxin Li, 2022, Numerical Mathematics: Theory, Methods and Applications.

A Corrected L1 Method for a Time-Fractional Subdiffusion Equation

Fanhai Zeng, Zheng Yang, 2023, Journal of Scientific Computing.