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2020 – today
- 2024
[j27]Qiao Zhuang, Alfa R. H. Heryudono
, Fanhai Zeng, Zhongqiang Zhang:
Collocation methods for integral fractional Laplacian and fractional PDEs based on radial basis functions. Appl. Math. Comput. 469: 128548 (2024)- [j26]Li Xia, Xiaoyun Jiang, Fanhai Zeng, Zeng Lin, Shanlin Qin, Rongliang Chen:
Enhanced parallel computation for time-fractional fluid dynamics: A fast time-stepping method with Newton-Krylov-Schwarz solver. Commun. Nonlinear Sci. Numer. Simul. 133: 107952 (2024) - [j25]Yusha Mei, Mingrong Cui, Fanhai Zeng:
A time two-grid algorithm for two-dimensional nonlinear time-fractional partial integro-differential equations. Math. Comput. Simul. 221: 550-569 (2024) - 2023
- [j24]Zheng Yang, Fanhai Zeng:
A linearly stabilized convolution quadrature method for the time-fractional Allen-Cahn equation. Appl. Math. Lett. 144: 108698 (2023) - [j23]Zheng Yang, Fanhai Zeng:
A Corrected L1 Method for a Time-Fractional Subdiffusion Equation. J. Sci. Comput. 95(3): 85 (2023) - [i5]Lei Ma, Rong xin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis:
Bi-orthogonal fPINN: A physics-informed neural network method for solving time-dependent stochastic fractional PDEs. CoRR abs/2303.10913 (2023) - [i4]Simin Shekarpaz, Fanhai Zeng, George Em Karniadakis:
Splitting physics-informed neural networks for inferring the dynamics of integer- and fractional-order neuron models. CoRR abs/2304.13205 (2023) - [i3]Hui Zhang, Fanhai Zeng, Xiaoyun Jiang, Zhimin Zhang:
Fast time-stepping discontinuous Galerkin method for the subdiffusion equation. CoRR abs/2309.02988 (2023) - 2022
- [j22]Yuxiang Huang, Fanhai Zeng, Ling Guo:
Error estimate of the fast L1 method for time-fractional subdiffusion equations. Appl. Math. Lett. 133: 108288 (2022) - 2021
- [j21]Hui Zhang, Xiaoyun Jiang, Fanhai Zeng:
An H1 convergence of the spectral method for the time-fractional non-linear diffusion equations. Adv. Comput. Math. 47(5): 63 (2021) - 2020
- [j20]Hui Zhang, Xiaoyun Jiang, Fanhai Zeng, George Em Karniadakis:
A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations. J. Comput. Phys. 405: 109141 (2020) - [i2]Hui Zhang, Fanhai Zeng, Xiaoyun Jiang, George Em Karniadakis:
Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations. CoRR abs/2007.07015 (2020) - [i1]Yubo Yang, Li-Lian Wang, Fanhai Zeng:
Analysis of a Backward Euler-type Scheme for Maxwell's Equations in a Havriliak-Negami Dispersive Medium. CoRR abs/2007.11127 (2020)
2010 – 2019
- 2019
- [j19]Fanhai Zeng, Ian W. Turner, Kevin Burrage, Stephen J. Wright:
A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations. J. Comput. Phys. 394: 177-199 (2019) - [j18]Ling Guo, Fanhai Zeng, Ian W. Turner, Kevin Burrage, George Em Karniadakis:
Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations. SIAM J. Sci. Comput. 41(4): A2510-A2535 (2019) - 2018
- [j17]Kevin Burrage, Pamela M. Burrage, Ian W. Turner, Fanhai Zeng:
On the Analysis of Mixed-Index Time Fractional Differential Equation Systems. Axioms 7(2): 25 (2018) - [j16]Hui Zhang, Fawang Liu, Xiaoyun Jiang, Fanhai Zeng, Ian W. Turner:
A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation. Comput. Math. Appl. 76(10): 2460-2476 (2018) - [j15]Fanhai Zeng, Ian W. Turner, Kevin Burrage:
A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators. J. Sci. Comput. 77(1): 283-307 (2018) - [j14]Fanhai Zeng, Ian W. Turner, Kevin Burrage, George E. Karniadakis:
A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations. SIAM J. Sci. Comput. 40(5): A2986-A3011 (2018) - 2017
- [j13]Fangying Song, Fanhai Zeng, Wei Cai, Wen Chen, George E. Karniadakis:
Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes. Comput. Math. Appl. 73(6): 1286-1297 (2017) - [j12]Fanhai Zeng, Zhiping Mao, George E. Karniadakis:
A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities. SIAM J. Sci. Comput. 39(1) (2017) - 2016
- [j11]Fanhai Zeng, Zhongqiang Zhang, George E. Karniadakis:
Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations. J. Comput. Phys. 307: 15-33 (2016) - [j10]Wanrong Cao, Fanhai Zeng, Zhongqiang Zhang, George E. Karniadakis:
Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions. SIAM J. Sci. Comput. 38(5) (2016) - 2015
- [j9]Qun Liu, Fanhai Zeng, Changpin Li:
Finite difference method for time-space-fractional Schrödinger equation. Int. J. Comput. Math. 92(7): 1439-1451 (2015) - [j8]Fanhai Zeng:
Second-Order Stable Finite Difference Schemes for the Time-Fractional Diffusion-Wave Equation. J. Sci. Comput. 65(1): 411-430 (2015) - [j7]Zhongqiang Zhang, Fanhai Zeng, George E. Karniadakis:
Optimal Error Estimates of Spectral Petrov-Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations. SIAM J. Numer. Anal. 53(4): 2074-2096 (2015) - [j6]Fanhai Zeng, Changpin Li, Fawang Liu, Ian W. Turner:
Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy. SIAM J. Sci. Comput. 37(1) (2015) - [j5]Fanhai Zeng, Zhongqiang Zhang, George E. Karniadakis:
A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations. SIAM J. Sci. Comput. 37(6) (2015) - 2014
- [j4]Fanhai Zeng, Heping Ma, Dong Liang:
Energy-conserved splitting spectral methods for two dimensional Maxwell's equations. J. Comput. Appl. Math. 265: 301-321 (2014) - [j3]Fanhai Zeng, Fawang Liu, Changpin Li, Kevin Burrage, Ian W. Turner, Vo Anh:
A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation. SIAM J. Numer. Anal. 52(6): 2599-2622 (2014) - 2013
- [j2]Fanhai Zeng, Changpin Li, Fawang Liu, Ian W. Turner:
The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation. SIAM J. Sci. Comput. 35(6) (2013) - 2012
- [j1]Changpin Li, Fanhai Zeng:
Finite difference Methods for fractional differential equations. Int. J. Bifurc. Chaos 22(4) (2012)
Coauthor Index
aka: George E. Karniadakis
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