- Bayesian methods and optimal decision theory in engineering
- Computational methods, analysis and design of efficient algorithms to resolve inverse problems
- Inverse Problem analysis and modelling in elasticity, geophysics, medical imaging, acoustics and quantum mechanics.
- Multi-scale phenomena analysis and modelling in quantum mechanics, hydrodynamics and acoustics
- Optimal design and control of partial differential equations. Numerical approach to control and optimisation problems.
- Provide mathematical and computational support to other UPM research groups
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