Numerical methods for fractional calculus C Li, F Zeng Chapman and Hall/CRC, 2015 | 913 | 2015 |
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 | 354 | 2014 |
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 | 328 | 2013 |
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 | 235 | 2015 |
Finite difference methods for fractional differential equations C Li, F Zeng International Journal of Bifurcation and Chaos 22 (04), 1230014, 2012 | 231 | 2012 |
The finite difference methods for fractional ordinary differential equations C Li, F Zeng Numerical Functional Analysis and Optimization 34 (2), 149-179, 2013 | 220 | 2013 |
Spectral approximations to the fractional integral and derivative C Li, F Zeng, F Liu Fractional Calculus and Applied Analysis 15 (3), 383-406, 2012 | 172 | 2012 |
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 | 142 | 2015 |
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 | 128 | 2017 |
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 | 92 | 2018 |
Second-order stable finite difference schemes for the time-fractional diffusion-wave equation F Zeng Journal of Scientific Computing 65 (1), 411–430, 2015 | 79 | 2015 |
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 | 76 | 2016 |
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 | 75 | 2017 |
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 | 72 | 2016 |
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 | 66 | 2018 |
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 | 58 | 2015 |
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 | 57 | 2015 |
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 | 50 | 2019 |
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 | 43 | 2020 |
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 | 42 | 2017 |