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
• Numerical  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 Applied  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 industrial  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.