Professor Fawang Liu

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Ph.D. in Computational & Applied Mathematics, Trinity College Dublin, Ireland

Professor Fawang Liu received his PhD from Trinity College, Dublin, Ireland in 1991. Since graduation, he has been working in computational and applied mathematics at Fuzhou University, Xiamen University (first class of Professor), Trinity College Dublin (Ireland), University College Dublin (Ireland), University of Queensland (Australia) and Queensland University of Technology (Australia) for over thirty years. Professor Liu has made important contributions to the fields including numerical methods and theoretical analysis of the fractional differential equations, propagation of electrical signals in the white matter of the brain, image enhancement, and a particle’s motion in crowded environments, parameter estimation for fractional dynamical models arising from biological systems, semiconductor device equations, microwave heating problems, gas-solid reactions, singular perturbation problem and saltwater intrusion into aquifer systems. Professor Liu is a leading researcher in the numerical methods and numerical analysis of fractional differential equations. He has published over 340 papers in these fields. Professor Fawang Liu has received the prestigious Mittag-Leffler Award for his outstanding contributions to the field of Fractional Derivatives and their Applications in 2012. He has supervised more than 30 PhD and MPhil students, and 40 visiting fellows on the fields.  He has been named in the 2015-2023 Thomson Reuters lists of Highly Cited Researchers.

Google Scholar:  https://scholar.google.com.au/citations?user=MWlqrU8AAAAJ&hl=zh-CN

Research Gate: https://www.researchgate.net/profile/F_Liu2

Research

Professor Liu is a leading researcher in numerical methods and numerical analysis of fractional differential equations. He has made important contributions to research in:

  • Numerical methods and analysis of fractional differential equations
  • Anomalous diffusion models with application to medical imaging
  • Fractional dynamical models arising from biological systems
  • Parameter estimation for fractional dynamical models
  • Numerical methods in computational finance
  • Non-Newtonian modeling of multiphase fluid and multiscale materials, numerical analysis and simulation
  • Time, space, and time-space distributed-order differential equations to model ultraslow diffusion
  • Developing new computational models and effective numerical methods, such as finite element methods, finite control volume unstructured mesh methods, meshless methods, higher order finite difference methods for anomalous transport in the irregular shaped two- and three-dimensional geometries
  • Fractional dynamics models for application in signal filtering equations, including time, space and time-space fractional diffusion models.
  • Fractional Order HIV/AIDS Epidemic models
  • Seepage constitutive of coalbed methane based on fractional theory and moving boundary problems
  • Semiconductor device equations
  • Microwave heating problems
  • Gas-solid reactions
  • Singular perturbation problems
  • Saltwater intrusion into aquifer systems, particularly in numerical methods and theoretical analysis.

RESEARCH PROJECTS AND GRANTS (2018-) 

  • 2018 Jan — 2020 Dec:  A unifying framework for generalised distributed-order fractional models, ARC Discovery DP180103858.
  • 2018 Jan — 2020 Dec: Shear-rate dependent thermal conductivity of non-Newtonian /based nanofluid) National Natural Science Foundation of China (Grant No.: 11772046).
  • 2019 Jan — 2022 Dec: Fractional dynamic models for MRI to probe tissue microstructure, ARC Discovery DP190101889.
  • 2021 Sep — 2026 Dec:  Efficient algorithm and application of complex MHD coupled fractional model, International cooperation key projects, National Natural Science Foundation of China, (Grant No.: 12120101001).

Publications

Professor Liu has an outstanding record of internationally recognised research in computational and applied mathematics. He has a high level of scientific productivity and an excellent research record in these areas of international standard. He has published in a number of top-tired academic journals over 340 journal publications, including:

  • SIAM Journal on Numerical Analysis
  • SIAM Journal on Scientific Computing
  • Journal of Computational Physics
  • Applied Mathematical Modelling
  • Fractional Calculus & Applied Analysis
  • Computers and Mathematics with Applications
  • Mathematics of Computation
  • Magnetic Resonance in Medicine
  • International Journal of Heat and Mass Transfer
  • PLOS ONE

Awards and recognition

  • 2016 – 2021: Invited as a guest lecturer of excellence by the University of Science and Technology Beijing and Beijing University of Civil Engineering and Architecture, Chinese Ministry of Education.
  • 2015-2021: Thomson Reuters list of Highly Cited Researchers.
  • 2014, 2017: Vice Chancellor Performance Awards, QUT.
  • 2012.: Mittag-Leffler Award for his outstanding contributions to the field of Fractional Derivatives and their Applications.

 

Projects (Chief investigator)