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PhD (Queensland University of Technology), MBus(Research) (Queensland University of Technology), BSc (Xiamen University)
Dr Qianqian Yang is a Senior Lecturer in applied and computational mathematics at the School of Mathematical Sciences, QUT. She received her PhD in computational mathematics from QUT in 2010.
Qianqian has extensive experience in developing computationally efficient methods for solving fractional order partial differential equations. Her recent research interest lies in the application of these fractional order models to real-world problems, particularly in the area of combining fractional order models (e.g. anomalous diffusion models), numerical simulations and magnetic resonance imaging (MRI) data to investigate brain tissue microstructural properties.
She has been awarded two nationally competitive research grants on these topics, including an Australian Research Council (ARC) DECRA fellowship (2015-2022, part-time) and an ARC Discovery Project grant (2019-2022). Her work regularly appears in top-tier scientific journals, such as NeuroImage, eLife, Magnetic Resonance in Medicine, SIAM Journal on Scientific Computing, Journal of Computational Physics, and Applied Mathematical Modelling.
Qianqian is also passionate about teaching coursework and supervising research students at various levels. Her teaching mainly focuses on the series of computational mathematics units, such as MXB103 (Introductory Computational Mathematics) and MXB226 (Computational Methods 1). In terms of supervising research projects, she has supervised and co-supervised 2 postdocs, 3 PhDs, 1 MPhil and many Honours and VRES students. For more information on future student research projects, please visit here.
Additional information
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2015
- Details
- QUT Vice-Chancellor's Performance Award
- Type
- Recipient of a Nationally Competitive Research Fellowship
- Reference year
- 2014
- Details
- ARC Discovery Early Career Researcher Award (DECRA)
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2010
- Details
- QUT Outstanding Doctoral Thesis Award
- Farquhar, M., Yang, Q. & Vegh, V. (2024). Robust, fast and accurate mapping of diffusional mean kurtosis. eLife, 12. https://eprints.qut.edu.au/244263
- Yang, Q., Reutens, D. & Vegh, V. (2022). Generalisation of continuous time random walk to anomalous diffusion MRI models with an age-related evaluation of human corpus callosum. NeuroImage, 250. https://eprints.qut.edu.au/233080
- Vegh, V., Moinian, S., Yang, Q. & Reutens, D. (2021). Fractional order magnetic resonance fingerprinting in the human cerebral cortex. Mathematics, 9(13). https://eprints.qut.edu.au/232765
- Yang, Q., Puttick, S., Bruce, Z., Day, B. & Vegh, V. (2020). Investigation of Changes in Anomalous Diffusion Parameters in a Mouse Model of Brain Tumour. Computational Diffusion MRI: MICCAI Workshop, Shenzhen, China, October 2019, 161–172. https://eprints.qut.edu.au/132530
- Simmons, A., Yang, Q. & Moroney, T. (2017). A finite volume method for two-sided fractional diffusion equations on non-uniform meshes. Journal of Computational Physics, 335, 747–759. https://eprints.qut.edu.au/103537
- Qin, S., Liu, F., Turner, I., Yu, Q., Yang, Q. & Vegh, V. (2017). Characterization of anomalous relaxation using the time-fractional Bloch equation and multiple echo T2*-weighted magnetic resonance imaging at 7 T. Magnetic Resonance in Medicine, 77(4), 1485–1494. https://eprints.qut.edu.au/94667
- Farquhar, M., Moroney, T., Yang, Q. & Turner, I. (2016). GPU accelerated algorithms for computing matrix function vector products with applications to exponential integrators and fractional diffusion. SIAM Journal of Scientific Computing, 38(3). https://eprints.qut.edu.au/84722
- Yang, Q., Turner, I., Moroney, T. & Liu, F. (2014). A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations. Applied Mathematical Modelling, 38(15-16), 3755–3762. https://eprints.qut.edu.au/72905
- Moroney, T. & Yang, Q. (2013). Efficient solution of two-sided nonlinear space-fractional diffusion equations using fast Poisson preconditioners. Journal of Computational Physics, 246(1), 304–317. https://eprints.qut.edu.au/58429
- Yang, Q., Turner, I., Liu, F. & Ilic, M. (2011). Novel numerical methods for solving the time-space fractional diffusion equation in two dimensions. SIAM Journal of Scientific Computing, 33(3), 1159–1180. https://eprints.qut.edu.au/40662
- Title
- New Mathematical Models for Brain Tissue Microstructure Imaging
- Primary fund type
- CAT 1 - Australian Competitive Grant
- Project ID
- DP250100366
- Start year
- 2025
- Keywords
- Title
- Fractional Dynamic Models for MRI to Probe Tissue Microstructure
- Primary fund type
- CAT 1 - Australian Competitive Grant
- Project ID
- DP190101889
- Start year
- 2019
- Keywords
- Title
- New Mathematical Models for Capturing Heterogeneity of Human Brain Tissue
- Primary fund type
- CAT 1 - Australian Competitive Grant
- Project ID
- DE150101842
- Start year
- 2015
- Keywords
- fractional differential equations; mathematical modelling; model-based magnetic resonance imaging
- Fractional diffusion models and their applications in diffusion-weighted magnetic resonance imaging
PhD, Principal Supervisor
Other supervisors: Professor Timothy Moroney, Dr Adrianne Jenner - Physics Informed Neural Networks and their Application to Diffusion-weighted Magnetic Resonance Imaging
PhD, Principal Supervisor
Other supervisors: Professor Timothy Moroney, Dr David Warne - Modelling Moisture Migration and Swelling in Engineered Wood Products
PhD, Principal Supervisor
Other supervisors: Dr Steven Psaltis
- Numerical Investigation and Application of Fractional Dynamical Systems (2019)
- Cardiac Modelling with Fractional Calculus: An Efficient Computational Framework for Modelling the Propagation of Electrical Impulses in the Heart (2018)
- Fractional Order Models: Numerical Simulation and Application to Medical Imaging (2017)