Numerical methods for fractional partial differential equations with Riesz space fractional derivatives Q Yang, F Liu, I Turner Applied Mathematical Modelling 34 (1), 200-218, 2010 | 504 | 2010 |
Novel numerical methods for solving the time-space fractional diffusion equation in two dimensions Q Yang, I Turner, F Liu, M Ilić SIAM Journal on Scientific Computing 33 (3), 1159-1180, 2011 | 202 | 2011 |
A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction–diffusion equations Q Yang, I Turner, T Moroney, F Liu Applied Mathematical Modelling 38 (15), 3755-3762, 2014 | 55 | 2014 |
Two new implicit numerical methods for the fractional cable equation F Liu, Q Yang, I Turner Journal of Computational and Nonlinear Dynamics 6 (1), 011009, 2011 | 54 | 2011 |
Numerical solution of the time fractional Black–Scholes model governing European options H Zhang, F Liu, I Turner, Q Yang Computers & Mathematics with Applications 71 (9), 1772-1783, 2016 | 47 | 2016 |
The relationship between implied and realized volatility: evidence from the Australian stock index option market S Li, Q Yang Review of Quantitative Finance and Accounting 32 (4), 405-419, 2009 | 46 | 2009 |
Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains L Feng, F Liu, I Turner, Q Yang, P Zhuang Applied Mathematical Modelling 59, 441-463, 2018 | 42 | 2018 |
Stability and convergence of an effective numerical method for the time-space fractional Fokker-Planck equation with a nonlinear source term Q Yang, F Liu, I Turner International Journal of Differential Equations 2010, 2010 | 41 | 2010 |
A numerical method for the fractional Fitzhugh–Nagumo monodomain model F Liu, I Turner, V Anh, Q Yang, K Burrage ANZIAM Journal 54, 608-629, 2013 | 35 | 2013 |
A banded preconditioner for the two-sided, nonlinear space-fractional diffusion equation T Moroney, Q Yang Computers & Mathematics with Applications 66 (5), 659-667, 2013 | 33 | 2013 |
Novel analytical and numerical methods for solving fractional dynamical systems Q Yang Faculty of Science and Technology, Queensland University of Technology, 2010 | 32 | 2010 |
Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation Q Yang, I Turner, F Liu ANZIAM Journal 50, 800-814, 2009 | 32 | 2009 |
Efficient solution of two-sided nonlinear space-fractional diffusion equations using fast Poisson preconditioners T Moroney, Q Yang Journal of Computational Physics 246, 304-317, 2013 | 31 | 2013 |
Multi-term time-fractional Bloch equations and application in magnetic resonance imaging S Qin, F Liu, I Turner, V Vegh, Q Yu, Q Yang Journal of Computational and Applied Mathematics, 2017 | 26 | 2017 |
Computationally efficient numerical methods for time-and space-fractional Fokker–Planck equations Q Yang, F Liu, I Turner Physica Scripta 2009 (T136), 014026, 2009 | 23 | 2009 |
Characterization of anomalous relaxation using the time‐fractional Bloch equation and multiple echo T2*‐weighted magnetic resonance imaging at 7 T S Qin, F Liu, IW Turner, Q Yu, Q Yang, V Vegh Magnetic resonance in medicine, 2016 | 22 | 2016 |
A finite volume method for two-sided fractional diffusion equations on non-uniform meshes A Simmons, Q Yang, T Moroney Journal of Computational Physics 335, 747-759, 2017 | 21 | 2017 |
Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions Q Yang, T Moroney, K Burrage, I Turner, F Liu ANZIAM Journal 52, 395-409, 2011 | 21 | 2011 |
A preconditioned numerical solver for stiff nonlinear reaction–diffusion equations with fractional Laplacians that avoids dense matrices A Simmons, Q Yang, T Moroney Journal of Computational Physics 287, 254-268, 2015 | 16 | 2015 |
GPU Accelerated Algorithms for Computing Matrix Function Vector Products with Applications to Exponential Integrators and Fractional Diffusion ME Farquhar, TJ Moroney, Q Yang, IW Turner SIAM Journal on Scientific Computing 38 (3), C127-C149, 2016 | 15 | 2016 |