Topics

Topics to be covered include (but are not limited to):

All the research areas of Numerical Analysis and Computational Mathematics

  • Numerical ODEs
  • Numerical PDEs (inc. BVPs)
  • Scientific Computing and Algorithms
  • Stochastic Differential Equations
  • Approximation
  • NumericalĀ  Linear Algebra
  • Numerical Integral Equations
  • Error Analysis and Interval Analysis
  • Difference Equations and Recurrence Relations
  • Numerical problems in Dynamical Systems
  • Applications to the Sciences (Computational Physics, Computational Statistics, Computational Chemistry, Computational Engineering etc.)
  • Differential Algebraic Equations
  • Numerical methods in Fourier analysis
    etc.

All the research areas of Applied and Industrial Mathematics

  • Mathematical Physics
  • Mathematical Chemistry
  • Mathematical Biology and Mathematical Medicine
  • Optimization and Operational Research
  • Theoretical Mechanics
  • Discrete AppliedĀ  Mathematics
  • Statistics
  • Probability
  • Dynamical Systems
  • Algorithms
  • Experimental Mathematics
  • Theoretical Computer Science
  • Applied Analysis
  • Mathematical Modelling including but not limited to:
    • mathematical modelling of engineering and environmental processes manufacturing, and industrialĀ  systems, heat transfer, fluid mechanics, CFD, and transport phenomena
    • solid mechanics and mechanics of metals
    • electromagnets and MHD
    • reliability modelling and system optimization
    • decision sciences in an industrial and manufacturing context
    • civil engineering systems and structures
    • mineral and energy resources
    • relevant software engineering issues associated with CAD and CAE
    • materials and metallurgical engineering, mathematical modelling of social, behavioral and other sciences
  • Decomposition and Reconstruction Algorithms, Subdivision Algorithms
  • Continuous and Discrete Wavelet Transform
  • Time-frequency Localization
  • Phase-Space Analysis
  • Subband Coding
  • Image Compression
  • Real-Time Filtering
  • Radar and Sonar Applications
  • Transient Analysis
  • Medical Imaging
  • Multigrid Methods
  • Frames
  • Bifurcation and Singularity Theory
  • Deterministic Chaos and Fractals
  • Soliton and Coherent Phenomena
  • Formation of Pattern
  • Evolution
  • Complexity Theory and Neural Networks
  • Analytical Approaches and Simulations for more Accurate Descriptions
  • Predictions
  • Experimental Observations and Applications of Nonlinear Phenomena in Science and Engineering
  • Theoretical and Applied aspects of Computational Geometry
  • Control Theory and Automation
  • Fuzzy Sets and Systems and Fuzzy Logic
  • Applied Algebra
  • Quality Theory of Differential Equations
  • Neural Networks
    etc.