Numerical methods for ordinary and partial differential equations. Geometric numerical integration. Molecular dynamics. Highly oscillatory problems. Wave equations. Exponential integrators. Numerical methods for stochastic (partial) differential equations.

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Another link for this document: CYBERTHESE. You can also find all the PHD thesis published (electronically) in Geneva.

And for the numerical discretization Conservation of energy, momentum and actions in numerical discretizations of nonlinear wave equations, pdf format, April 2007, submitted.

Another link for this document: CYBERTHESE. You can also find all the PHD thesis published (electronically) in Geneva.