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.