Faculty of Science and Technology

Gao, David (Prof) - Research

Current research projects/students

  • Computational mathematics and mechanics, global optimization
  • Students: James Apap, Elaf Ali, Yi Chen, Xiaojun Zhou

Consulting and other activities

  • Logistic and scheduling optimization, decision and management science
  • Computational methods and algorithms for multi-scale computations

Publications/conferences

  • Gao, D.Y., Duality Principles in Nonconvex Systems: Theory, Methods and Applications. Springer, 2000, xviii+454pp.
  • Gao, D.Y. and Motreanu, D., Handbook on Nonconvex Analysis and Applications, International Press, 2010, 680pp.
  • Cai, K., Gao, DY, Qin, QH (2014) Postbuckling analysis of a nonlinear beam with axial functionally graded material, J Eng Math DOI 10.1007/s10665-013-9682-1
  • Latorre, V. and Gao, D.Y. (2014). Canonical duality for RBF neural networks, Neuralcomputings, 134:189-197
  • Ruan, N. and Gao, D.Y. (2014). Global Optimal Solutions to a General Sensor Network Localization Problem, Performance Evaluation, 75-76 (2014) 1-16.
  • N. Ruan and D.Y. Gao (2014) Canonical duality approach for non-linear dynamical systems, IMA J. Appl. Math, 79 (2): 313-325. First published online: October 11, 2012 doi:10.1093/imamat/hxs067
  • Zhou, XJ, Gao, DY, and Yang, CH (2014). A Canonical Primal-Dual Algorithm for the Fourth-Order Polynomials Minimization, Applied Mathematics and Computation, 227, 15 January 2014, Pages 246-255
  • C. Li, DY Gao, C Liu, G Chen (2014), Impulsive control for synchronizing delayed discrete complex networks with switching topology. Neural Comput Appl 24;24:59-68.
  • C. Wu, D.Y. Gao, and K.L. Teo, A direct optimization method for low group delay FIR filter design, Signal Processing, Volume 93, Issue 7, July 2013, Pages 1764-1772
  • C. Li, XJ Zhou and DY Gao (2014). Stable trajectory of logistic map. Nonlinear Dynamics
  • Gao, D.Y., L. T. Watson, L.T., Easterling, D. R., Thacker, W.I., and S. C. Billups (2013). Solving the canonical dual of box- and integer-constrained nonconvex quadratic programs via a deterministic direct search algorithm. Optim. Methods and Software. 28 (2), pp. 313-326.
  • Cai, K., Gao, DY, Qin, QH (2013). Post-buckling solutions of hyper-elastic beam by canonical dual finite element method, Mathematics and Mechanics of Solids. Published online on 8 May, 2013.
  • Morales-Silva, D. and Gao, D.Y. (2013) Complete Solutions and Triality Theory to a Nonconvex Optimization Problem with Double-Well Potential in Rn, Numerical Algebra, Control and Optimization, 3(2) 271-282.

See http://sitevm1.ballarat.edu.au/dgao/papers/paper.html for details

Professional memberships and associations

Research interests

  • Modeling
  • Simulation and control of complex systems
  • Continuum physics
  • Nonconvex analysis
  • Global optimization
  • Operations research
  • Information technology
  • Computational sciences

Internal/external web links