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Key Research Areas

The research areas of the Liu Bie Ju Centre of Mathematical Sciences reflect its strength and vitality. Key research areas include:

  • Applied Differential Geometry
  • Approximation Theory
  • Asymptotics and Perturbation Methods
  • Boltzmann’s Equation
  • Complexity and Computation
  • Finite Element Methods, Wavelets
  • Hyperbolic Conservation Laws
  • Integral Transforms and Operational Calculus
  • Learning Theory
  • Mathematical Finance
  • Mathematical Methods in Fluid Mechanics
  • Mathematical Methods in Solid Mechanics
  • Modeling and Mathematical Analysis in Elasticity
  • Numerical Analysis, Control and Optimization
  • Orthogonal Polynomials and Enumerative Combinatorics
  • Partial Differential Equations and Calculus of Variations
  • Plate and Shell Theory
  • Special Functions of Mathematical Physics

The Centre’s research output in these fields includes numerous important contributions, which have been regularly published in the top-tier international journals.