Lecture 1: A brief introduction to fractional calculus and numerical methods for the space fractional partial differential equations
Topics Include: A brief introduction to fractional calculus with applications.
Lecture 2: Numerical methods, convergence and stability analysis for the time, time-space fractional partial differential equations
Lecture 3: Numerical methods for the time-space, space fractional partial differential equations with applications
Lecture 4: Parameters estimation techniques of complex fractional dynamic systems and analytical solutions for the multi-term time-space fractional partial differential equations
No pre-requisites currently noted.
Fawang Liu is a Professor in applied and computational mathematics at Queensland University of Technology. He received his MSc from Fuzhou University, China in 1982 and his PhD from Trinity College, Ireland in 1991. Since graduation, he has worked at Fuzhou University, Trinity College Dublin, University College Dublin, Xiamen University (First-class Professor), University of Queensland and Queensland University of Technology (from 17 September, 1991). Professor Liu has made important contributions to the field. He is an internationally recognised expert and a leading researcher in the field of numerical methods and theoretical analysis for fractional dynamical systems. He has published over 300 papers in these fields. In 2012, Professor Liu won the prestigious Mittag-Leffler Achievement Award for his outstanding contributions to the field of Fractional Derivatives and their Applications. He has established strong collaborative links with a number of key researchers at prestigious universities in China working in the field of fractional calculus. He has h-index 57 and over 11177 Google Scholar citations. He has supervised more than 20 PhD students and 30 visiting fellows on this field. Professor Liu has been named in the 2014, 2015, 2016, 2017 and 2018 Thomson Reuters lists of Highly Cited Researchers.