School of Science, Engineering and Information Technology

Modeling, Method, and Unified Theory for Multi-Scale Nonconvex Systems

Project Title:

Modeling, Method, and Unified Theory for Multi-Scale Nonconvex Systems

Supervisor(s):

David Yang Gao, Alex Rubinov Professor of Mathematics, Federation University

Tudor Ratiu, Honorary Professor, Shanghai Jiao Tong University

Ron G. Chen, Honorary Professor, City University, Hong Kong

Shu-Cherng Fang, Honorary Professor, North Carolina State University, USA

Eldar Hajilarov, Lecturer

Ning Ruan, Senior Research Fellow

Vittorio Latorre, Research Fellow

Contact person and email address:

David Yang Gao, d.gao@federation.edu.au

A brief description of the project:

Continuously supported by multi-million dollar grants from US Air Force Office for Scientific Research (AFOSR) over the past 10 years, our goal is to conduct a unique pioneering research in the multidisciplinary fields of

  • nonconvex science;
  • large-scale computational mathematics;
  • industrial and systems engineering.

The nonconvexity is essential in natural phenomena. It is the main reason that leads to chaos in complex dynamics, phase transitions in material science, bifurcation in nonlinear systems, fundamental difficulties in game theory and decision-making, as well as many NP-hard problems in global optimisation and computer science. Composed by the pioneering researchers and world well-known scholars in applied mathematicians, computer science, and systems engineering, our group has developed internationally recognised research in nonconvex science with successfully applications in multidisciplinary fields of applied mathematics, engineering mechanics, operations research, global optimisation, decision and computer science.  We are continuously providing breakthrough theories, methods, and computational techniques for young people to conduct cutting-edge research projects in multidisciplinary fields of applied mathematics and engineering sciences.