Professor Fawang Liu
This person does not currently hold a position at QUT.
Personal details
Keywords
Numerical Methods, Fractional Differential Equations, Numerical Analysis, Stability and convergence analysis of numerical methods, Numerical methods of Singular perturbation problems, Numerical simulation of adsorbate transport problems, Numerical simulation of microwave heating problems, Numerical simulation of saltwater intrusion into heterogeneous aquifer systems
Research field
Numerical and Computational Mathematics, Applied Mathematics
Field of Research code, Australian and New Zealand Standard Research Classification (ANZSRC), 2008
Qualifications
- Ph.d in Computational & Applied Mathematics (University of Dublin Trinity College)
Teaching
Professor Liu has supervised over twenty PhD students and twelve MSc students in this field. He has also supervised over thirty visiting fellows supported by the China Scholarship Council from institutions including:
- University of Science and Technology Beijing
- Shandong University
- Beijing University of Civil Engineering and Architecture
- Xiamen University
- Qinghai Normal University
- Shanghai University
- Donghua University
- Northwestern Polytechnical University
- Changsha University of Science and Technology
- Sichuan University
- Henan University
- Huzhou Normal University
- Inner Mongolia University
- China University of Geosciences
- Jiangsu Normal University
- Jimei University
- HuaQiao University
- Wuyi University
- Nanjing University of Information Science & Technology.
Teaching areas
- Numerical methods of fractional differential equations
- Computational mathematics (numerical analysis)
- Linear algebra
- Advanced Computational Mathematics A (ACMA)
- MXN21+ACM A: Singular perturbation problems.
- Advanced Computational Mathematics B (ACMB)
- MXN22+ACM B: Numerical methods for fractional PDEs (Finite difference method, Finite Element method, Finite Volume method, Meshless method, Spectral method)
- Modern Statistical Computing Techniques (Numerical Computing Techniques)
Areas of expertise
- Numerical solution of fractional partial differential equations
- Numerical linear algebra
- Computational modelling in porous media
- Finite difference methods
- Finite volume methods
- Finite element methods
- Singular perturbation problems.
Publications
- Zheng, M., Liu, F., Anh, V. & Turner, I. (2016). A high-order spectral method for the multi-term time-fractional diffusion equations. Applied Mathematical Modelling, 40(7 - 8), 4970–4985. https://eprints.qut.edu.au/101393
- Zheng, M., Liu, F., Turner, I. & Anh, V. (2015). A novel high order space-time spectral method for the time fractional Fokker--Planck equation. SIAM Journal of Scientific Computing, 37(2). https://eprints.qut.edu.au/82700
- Ye, H., Liu, F. & Anh, V. (2015). Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains. Journal of Computational Physics, 298, 652–660. https://eprints.qut.edu.au/101398
- Zeng, F., Liu, F., Li, C., Burrage, K., Turner, I. & Anh, V. (2014). A Crank-Nicolson adi spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. SIAM Journal on Numerical Analysis, 52(6), 2599–2622. https://eprints.qut.edu.au/82655
- Liu, F., Meerschaert, M., McGough, R., Zhuang, P. & Liu, Q. (2013). Numerical methods for solving the multi-term time-fractional wave-diffusion equation. Fractional Calculus and Applied Analysis, 16(1), 9–25. https://eprints.qut.edu.au/76841
- Chen, C., Liu, F., Anh, V. & Turner, I. (2010). Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equations. SIAM Journal on Computing, 32(4), 1740–1760. https://eprints.qut.edu.au/42998
- Zhuang, P., Liu, F., Anh, V. & Turner, I. (2009). Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term. SIAM Journal on Numerical Analysis, 47(3), 1760–1781. https://eprints.qut.edu.au/29755
- Zhuang, P., Liu, F., Anh, V. & Turner, I. (2008). New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. SIAM Journal on Numerical Analysis, 46(2), 1079–1095. https://eprints.qut.edu.au/30905
- Chen, C., Liu, F., Turner, I. & Anh, V. (2007). A Fourier method for the fractional diffusion equation describing sub-diffusion. Journal of Computational Physics, 227(2), 886–897. https://eprints.qut.edu.au/14739
- Liu, F., Zhuang, P., Anh, V., Turner, I. & Burrage, K. (2007). Stability and convergence next term of the difference methods for the space-time fractional advection-diffusion equation. Applied Mathematics and Computation, 191(1), 12–20. https://eprints.qut.edu.au/44379
QUT ePrints
For more publications by Fawang, explore their research in QUT ePrints (our digital repository).
Awards
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2012
- Details
- The Honors and Awards Committee of the 5th Symposium on Fractional Differentiation and Its Application (FDA'2012) conferred the international academic award of Mittag-Leffler FDA Achievement Award to Adjunct Professor Liu. The FDA Award Committee conducts a ballot to select a recipient for the Award and selection is based on the cumulative contribution to the field of Fractional Derivative and Applications. The Award is to be made once every two years.
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2014
- Details
- Vice Chancellor Performance Awards, QUT.
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2015
- Details
- Thomson Reuters list of Highly Cited Researchers.
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2016
- Details
- Thomson Reuters list of Highly Cited Researchers.
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2016
- Details
- Guest lecturer of excellence by Chinese Ministry of Education.