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Professor Fawang Liu

Science and Engineering Faculty,
Mathematical Sciences,
Applied and Computational Mathematics

Personal

Name
Professor Fawang Liu
Position(s)
Professor
Science and Engineering Faculty,
Mathematical Sciences,
Applied and Computational Mathematics
Discipline *
Numerical and Computational Mathematics, Applied Mathematics
Phone
+61 7 3138 1329
Fax
+61 7 3138 2310
Email
Location
View location details (QUT staff and student access only)
Qualifications

Ph.d in Computational & Applied Mathematics (University of Dublin Trinity College)

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

* Field of Research code, Australian and New Zealand Standard Research Classification (ANZSRC), 2008

Biography

Background

Fawang Liu is a Professor in the Applied and computational mathematics discipline at QUT. He has 35 years of research, professional and teaching experience. He received his MSc from Fuzhou University, China in 1982 and his PhD from Trinity College, Ireland in 1991, respectively. Since graduation, he has worked   in computational and applied mathematics at Fuzhou University, Trinity College Dublin, University College Dublin,   Xiamen University (First-class Professor),   University of Queensland and QUT.

Research

Professor Liu is a leading researcher in numerical methods and numerical analysis of fractional differential equations. He has published over 250 journal publications in these fields. 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.

Current projects

  • Time and space nonlocalities underlying fractional-derivative models and their applications.
  • Anomalous diffusion models with application to medical imaging, including the anomalous fractional Bloch equation and the space-time fractional Bloch-Torrey equation on an irregular domain.
  • Novel Methods in Computational Finance, including fractional Black-Scholes equation, Fractional diffusion models of option prices in markets with jumps, Stock exchange fractional dynamics, Option pricing of a bi-fractional Black-Merton-Scholes model, tempered fractional Black-Scholes model for European double barrier option.
  • Time, space, and time-space distributed-order differential equations to model ultraslow diffusion where a plume of particles spreads at a logarithmic rate, to model a mixture of delay sources, to model super-diffusion phenomena.
  • 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.
  • Non-Newtonian Modeling of multiphase fluid and multiscale materials, numerical analysis and simulation.
  • Fractional Order HIV/AIDS Epidemic model and parameter estimation problems.

Journal 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 250 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 – 2020. 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, to teach for 2-3 months each year.
  • 2016. Thomson Reuters list of Highly Cited Researchers.
  • 2015. Thomson Reuters list of Highly Cited Researchers.
  • 2014. Vice Chancellor Performance Awards, QUT.
  • 2012. Mittag-Leffler Award for his outstanding contributions to the field of Fractional Derivatives and their Applications.
This information has been contributed by Professor Fawang Liu.

Teaching

Professor Liu has supervised over seventeen 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

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.
This information has been contributed by Professor Fawang Liu.

Experience

Professor Liu has been invited to visit and present lecture series on fractional calculus in over 30 universities in China and USA in the last five years.

His current invitation to present as an international teacher of excellence at the University of Science and Technology Beijing, Beijing University of Civil Engineering and Architecture, and the Chinese Ministry of Education will continue from 2016-2020.

Along with over 250 journal publications, Professor Liu has published a book on Numerical Methods of Fractional Partial Differential Equations by Science Press, China, 2015.

Editorial boards and international journals

Professor Liu is a member of the editorial boards of eight international journals:

  • Applied Mathematical Modelling
  • Computers and Mathematics with Applications
  • International Journal of Differential Equations
  • Journal of Fractional Dynamical Systems
  • Communication of Fractional Calculus
  • Cogent Mathematics
  • International Journal of Mathematics
  • Progress in Fractional Differentiation and Applications.

 

 

 

 

This information has been contributed by Professor Fawang Liu.

Publications


For more publications by this staff member, visit QUT ePrints, the University's research repository.

Awards

Awards and recognition

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.