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; and 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.)
