Dr Qianqian Yang
Faculty of Science,
School of Mathematical Sciences
Biography
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.
Personal details
Positions
- Senior Lecturer
Faculty of Science,
School of Mathematical Sciences
Keywords
anomalous diffusion models, fractional order PDEs, mathematical models for diffusion MRI (dMRI), numerical methods and analysis
Research field
Applied Mathematics, Numerical and Computational Mathematics
Field of Research code, Australian and New Zealand Standard Research Classification (ANZSRC), 2008
Qualifications
- PhD (Queensland University of Technology)
- MBus(Research) (Queensland University of Technology)
- BSc (Xiamen University)
Professional memberships and associations
Member of the Australian Mathematical Society (AustMS)
Member of the International Society for Magnetic Resonance in Medicine (ISMRM)
Teaching
MXB103 - Introductory Computational Mathematics
- Numerical methods for ODEs
- Interpolations
- Roots of nonlinear functions
- Numerical differentiation and integration
- Linear systems
MXB226 - Computational Methods 1
- Direct methods for linear systems
- Data structures and algorithms for structured linear systems
- Norms
- Iterative methods for linear systems
- Iterative methods for the eigenvalue problem
- Finite difference methods for models of heat diffusion in two dimensions
EGH421 - Vibration and Control (Math content)
2019 AMSI Winter School Course (postgraduate level)
Publications
- 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
- Yang, Q., Liu, F. & Turner, I. (2010). Numerical methods for fractional partial differential equations with Riesz space fractional derivatives. Applied Mathematical Modelling, 34(1), 200–218. https://eprints.qut.edu.au/29844
QUT ePrints
For more publications by Qianqian, explore their research in QUT ePrints (our digital repository).
Awards
- 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
Selected research projects
- 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
Projects listed above are funded by Australian Competitive Grants. Projects funded from other sources are not listed due to confidentiality agreements.
Supervision
Looking for a postgraduate research supervisor?
I am currently accepting research students for Honours, Masters and PhD study.
You can browse existing student topics offered by QUT or propose your own topic.
Completed supervisions (Doctorate)
- 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)