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Numerical Methods for Ordinary Differential Equations
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Papers : [here] ,
Talks : [here]
- Numerical resolution of differential-algebraic equations, modeling
the mass transfer between particles and bulk gas phase in organic atmospheric
aerosol particles.
- Numerical methods for event detections, constraints activation/deactivation
in optimization-constrained systems of ODEs. Coupling of numerical methods for
ODes with optimization methods such as interior-point methods and active sets
methods.
- Numerical methods for systems of differential-algebraic equations.
Theoretical investigations of systesm and DAEs when the underlying structure
comes from an optimization problem.
- Numerical linear algebra techniques for resolution of large structured
systems of DAEs, when modeling a large population of aerosols particles.
Development of decomposition techniques in order to use the structure of wekaly
coupling between subsystems.
- Decomposition methods and reduction techniques for the decoupling of a population of such subsystems
into fast and slow subsystems.
- Time splitting algorithms for chemical kinetics problems arising in
atmospheric sciences.
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