# Browse By Person: Yang, Qianqian

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**24**.## Journal Article

Farquhar, Megan E., Moroney, Timothy J., Yang, Qianqian, & Turner, Ian W.
(2016)
GPU accelerated algorithms for computing matrix function vector products with applications to exponential integrators and fractional diffusion.

*SIAM Journal on Scientific Computing*,*38*(3), C127-C149.

Zhang, Hongmei, Liu, Fawang, Turner, Ian, & Yang, Qianqian
(2016)
Numerical solution of the time fractional Black–Scholes model governing European options.

*Computers & Mathematics with Applications*,*71*(9), pp. 1772-1783.

Qin, Shanlin, Liu, Fawang, Turner, Ian, Yu, Qiang, Yang, Qianqian, & Vegh, Viktor
(2016)
Characterization of anomalous relaxation using the time-fractional Bloch equation and multiple echo T2 *-weighted magnetic resonance imaging at 7T.

*Magnetic Resonance in Medicine*. (In Press)

Simmons, Alex, Yang, Qianqian, & Moroney, Timothy J.
(2015)
A preconditioned numerical solver for stiff nonlinear
reaction-diffusion equations with fractional Laplacians that avoids dense matrices.

*Journal of Computational Physics*,*287*, pp. 254-268.

Yang, Qianqian, Turner, Ian, Moroney, Timothy J., & Liu, Fawang
(2014)
A finite volume scheme with preconditioned Lanczos method
for two-dimensional space-fractional reaction–diffusion
equations.

*Applied Mathematical Modelling*,*38*(15-16), pp. 3755-3762.
8

10

6

Moroney, Timothy J. & Yang, Qianqian
(2013)
Efficient solution of two-sided nonlinear space-fractional diffusion equations using fast Poisson preconditioners.

*Journal of Computational Physics*,*246*, pp. 304-317.
45

8

6

Moroney, Timothy J. & Yang, Qianqian
(2013)
A banded preconditioner for the two-sided, nonlinear space-fractional diffusion equation.

*Computers & Mathematics with Applications*.
222

7

8

Liu, Fawang, Turner, Ian, Anh, Vo, Yang, Qianqian, & Burrage, Kevin
(2012)
A numerical method for the fractional Fitzhugh–Nagumo monodomain model.

*The ANZIAM Journal*,*54*(supp), p.C608-C629.
3

Yang, Qianqian, Moroney, Timothy J., Burrage, Kevin, Turner, Ian, & Liu, Fawang
(2011)
Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions.

*Australian and New Zealand Industrial and Applied Mathematics Journal*,*52*, C395-C409.
250

51

Yang, Qianqian, Turner, Ian, Liu, Fawang, & Ilic, Milos
(2011)
Novel numerical methods for solving the time-space fractional diffusion equation in 2D.

*SIAM Journal on Scientific Computing (SISC)*,*33*(3), pp. 1159-1180.
526

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51

Liu, Fawang, Yang, Qianqian, & Turner, Ian
(2011)
Two new implicit numerical methods for the fractional cable equation.

*Journal Of Computational And Nonlinear Dynamics*,*6*(1), pp. 1-7.
19

9

Yang, Qianqian, Liu, Fawang, & Turner, I.
(2010)
Numerical methods for fractional partial differential equations with Riesz space fractional derivatives.

*Applied Mathematical Modelling*,*34*(1), pp. 200-218.
704

134

125

Yang, Qianqian, Liu, Fawang, & Turner, Ian
(2010)
Stability and convergence of an effective numerical method for the time-space fractional Fokker-Planck equation with a nonlinear source term.

*International Journal of Differential Equations*,*2010*, pp. 1-22.
343

12

Yang, Qianqian, Turner, Ian, & Liu, Fawang
(2009)
Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation.

*Australian and New Zealand Industrial and Applied Mathematics Journal (ANZIAM)*,*50*, C800-C814.
75

Yang, Qianqian, Liu, Fawang, & Turner, Ian
(2009)
Computationally efficient numerical methods for time- and space-fractional Fokker–Planck equations.

*Physica Scripta*,*T136*, pp. 1-7.
574

4

2

Li, Steven & Yang, Qianqian
(2009)
The relationship between implied and realized volatility : evidence from the Australian stock index option market.

*Review of Quantitative Finance and Accounting*,*32*(4), pp. 405-419.
512

10

## Conference Paper

Yang, Qianqian, Moroney, Timothy J., Liu, Fawang, & Turner, Ian
(2012)
Computationally efficient methods for solving time-variable-order time-space fractional reaction-diffusion equation. In

*5th IFAC Symposium on Fractional Differentiation and its Applications*, 14-17 May 2012, Hohai University, Nanjing, China.
317

Moroney, Timothy J. & Yang, Qianqian
(2012)
Efficient preconditioning of the method of lines for solving nonlinear two-sided space-fractional diffusion equations. In

*The 5th Symposium on Fractional Differentiation and its Applications*, 14-17 May, 2012, Hohai University, Nanjing, China.
208

Yang, Qianqian, Turner, Ian, Moroney, Timothy J., & Liu, Fawang
(2012)
A preconditioned Lanczos method for space-fractional reaction-diffusion equations on two-dimensional unstructured meshes. In
Gu, YuanTong (Ed.)

*4th International Conference on Computational Methods (ICCM2012)*, 25-28 November 2012, Crowne Plaza, Gold Coast, QLD.
136

Liu, Fawang, Yang, Qianqian, & Turner, Ian
(2009)
Stability and convergence of two new implicit numerical methods for the fractional cable equation. In
Anderson, K (Ed.)

*Proceedings of IDETC09/MSNDC 2009 Design Engineering Technical Conferences and Computers and Information in Engineering Conference*, 30 August - 2 September 2009, United States of America, California, San Diego.

Yang, Qianqian, Turner, Ian, & Liu, Fawang
(2008)
Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation. In

*ANZIAM Journal : Proceedings of the 4th Biennial Computational Techniques and Applications Conference (CTAC2008)*, Australian National University, Canberra, C800-C814.
249

4

Yang, Qianqian, Liu, Fawang, & Turner, Ian
(2008)
Numerical solution techniques for time- and space-fractional
Fokker-Planck equations. In
Sabatier, J., Magin, R., Vinagre, B., & Baleanu, D. (Eds.)

*Proceedings of the 3rd International Federation of Automatic Control (IFAC) Workshop on Fractional Differentiation and its Applications*, 5 - 7 November 2008, Ankara, Turkey.
153

2

## QUT Thesis

Yang, Qianqian
(2010)

*Novel analytical and numerical methods for solving fractional dynamical systems.*PhD by Publication, Queensland University of Technology.
7,495

Yang, Qianqian
(2006)

*An empirical study of implied volatility in Australian index option markets.*Masters by Research thesis, Queensland University of Technology.
1,423