Numerical Analysis and Computational PDEs

Main Research Topics

• Spectral element methods
• Conservative finite volume schemes
• Preconditioned iterative methods for linear systems
• A posteriori error analysis
• Stochastic simulation techniques
• Hybrid spectral/finite-difference schemes for the Navier-Stokes equations
• Numerical methods for simulating fluid/structure interactions
• Inversion of the complex Hilbert transform
• Sampling localisation and its generalizations to integral transforms
• Computational modelling for singular flows
• Models for boson excitation