Modeling, methods and theories of duality and triality
Complementarity, polarity, symmetry and symmetry breaking
Nonconvex/nonsmooth/discrete and nonconservative problems
Database analysis
Decision science
Nonlinear analysis
Finite deformation field theory
Engineering mechanics
Global optimization and control
Differential equations and geometry
Network flows and communications
Energy systems
Social systems
Large-scale and multi-scale scientific computations