Research Interests

Uncertainty quantification

Nonstationary Baysian inverse problems

Statistical models and optimal transportation

Sampling, Markov chain Monte Carlo methods

Data assimilation, filtering and smoothing algorithms

Geophysical Fluid Dynamics

Hamiltonian Particle-Mesh Methods for the Shallow-Water Equations

Semi-Implicit and Staggered Semi-Lagrangian Methods for the Shallow-Water Equations

Geostrophic Balance and Asymptotic Analysis

Non-hydrostatic motion and numerical methods

Multi-symplectic Structure and Conservation of Potential Vorticity

Data assimilation and ensemble Kalman filters

Molecular Dynamics

Particle Methods and Statistical Mechanics

Time stepping methods for classical, stochastic and quantum-classical molecular dynamics

Hybrid Monte Carlo methods

Geometric Integration

Hamiltonian ODEs and PDEs

Computation of Lyapunov Exponents

Backward Error Analysis

Adaptivity and Conservation

Averaging in highly oscillatory systems and general multi-scale analysis

Existence and life-span of adiabatic invariants

Large time-step numerical methods

Mori-Zwanzig reduction and stochastic modelling