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Fanhai Zeng
Fanhai Zeng
Verified email at sdu.edu.cn
Title
Cited by
Cited by
Year
Numerical methods for fractional calculus
C Li, F Zeng
Chapman and Hall/CRC, 2015
8802015
A Crank--Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation
F Zeng, F Liu, C Li, K Burrage, I Turner, V Anh
SIAM Journal on Numerical Analysis 52 (6), 2599-2622, 2014
3502014
The use of finite difference/element approaches for solving the time-fractional subdiffusion equation
F Zeng, C Li, F Liu, I Turner
SIAM Journal on Scientific Computing 35 (6), A2976-A3000, 2013
3262013
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy
F Zeng, C Li, F Liu, I Turner
SIAM Journal on Scientific Computing 37 (1), A55-A78, 2015
2322015
Finite difference methods for fractional differential equations
C Li, F Zeng
International Journal of Bifurcation and Chaos 22 (04), 1230014, 2012
2222012
The finite difference methods for fractional ordinary differential equations
C Li, F Zeng
Numerical Functional Analysis and Optimization 34 (2), 149-179, 2013
2102013
Spectral approximations to the fractional integral and derivative
C Li, F Zeng, F Liu
Fractional Calculus and Applied Analysis 15 (3), 383-406, 2012
1702012
A generalized spectral collocation method with tunable accuracy for variable-order fractional differential equations
F Zeng, Z Zhang, GE Karniadakis
SIAM Journal on Scientific Computing 37 (6), A2710-A2732, 2015
1362015
Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions
F Zeng, Z Zhang, GE Karniadakis
Computer Methods in Applied Mechanics and Engineering 327, 478-502, 2017
1262017
A stable fast time-stepping method for fractional integral and derivative operators
F Zeng, I Turner, K Burrage
Journal of Scientific Computing 77 (1), 283--307, 2018
882018
Second-order stable finite difference schemes for the time-fractional diffusion-wave equation
F Zeng
Journal of Scientific Computing 65 (1), 411–430, 2015
782015
Implicit-explicit difference schemes for nonlinear fractional differential equations with nonsmooth solutions
W Cao, F Zeng, Z Zhang, GE Karniadakis
SIAM Journal on Scientific Computing 38 (5), A3070-A3093, 2016
762016
A generalized spectral collocation method with tunable accuracy for fractional differential equations with end-point singularities
F Zeng, Z Mao, GE Karniadakis
SIAM Journal on Scientific Computing 39 (1), A360-A383, 2017
752017
Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations
F Zeng, Z Zhang, GE Karniadakis
Journal of Computational Physics 307, 15-33, 2016
702016
A Crank–Nicolson ADI Galerkin–Legendre spectral method for the two-dimensional Riesz space distributed-order advection–diffusion equation
H Zhang, F Liu, X Jiang, F Zeng, I Turner
Computers & Mathematics with Applications 76 (10), 2460-2476, 2018
642018
Finite difference method for time-space-fractional Schrödinger equation
Q Liu, F Zeng, C Li
International Journal of Computer Mathematics 92 (7), 1439-1451, 2015
572015
Optimal error estimates of spectral Petrov--Galerkin and collocation methods for initial value problems of fractional differential equations
Z Zhang, F Zeng, GE Karniadakis
SIAM Journal on Numerical Analysis 53 (4), 2074-2096, 2015
562015
Efficient multistep methods for tempered fractional calculus: Algorithms and simulations
L Guo, F Zeng, I Turner, K Burrage, GE Karniadakis
SIAM Journal on Scientific Computing 41 (4), pp. A2510–A2535, 2019
492019
A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations
H Zhang, X Jiang, F Zeng, GE Karniadakis
Journal of Computational Physics 405, 109141, 2020
422020
A tunable finite difference method for fractional differential equations with non-smooth solutions
X Chen, F Zeng, GE Karniadakis
Computer Methods in Applied Mechanics and Engineering 318, 193-214, 2017
412017
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