This thesis consists of two parts. In the first part, we study the cohomology of a compact K\"ahler manifold with values in a pseudo-effective line bundle. This part also describes various results concerning pseudo-effective vector bundles. Since several of our definiti...

In this thesis, we consider systems of linear algebraic equations arising from discretizations of second-order elliptic partial differential equations using finite elements of arbitrary polynomial degree. In Chapter 1, we propose an a posteriori estimator for the algebr...

The variety of forecasting methods for geophysical variables is increasing. Therefore, understanding the properties, advantages and limitations of each method is crucial. We focus on “analogs” which have been used in meteorology for more than 60 years. The probability t...

Since its first observation, a decade ago, high harmonic generation (HHG) in crystals has proved to be an efficient, controllable and compact source of coherent XUV radiation. In this thesis, we investigate HHG in 2D materials, particularly graphene, and in different se...

Smoothed Particle Hydrodynamics (SPH) is a Lagrangian and meshless numerical method, used in many branches of physics and engineering (astrophysics, solid mechanics, fluid mechanics, etc...). In fluid mechanics, this method is now used in many application fields (naval ...

Basaltic caldera-rift systems provide unique opportunities to study a range of volcanic pro- cesses, including lateral magma transport, caldera collapse, and magma replenishment. Some of the largest basaltic calderas in the world, however, are located in dangerous or di...

The flutter instability has been the focus of numerous works since the middle of the twentieth century, due to its critical application in aeronautics. Flutter is classically described as a linear instability using potential flow models, but viscous and nonlinear fluid ...

Magnetic anisotropy is a property of great importance both for applications (magnetic storage, ...) and for its fundamental interest. In this manuscript, we are more precisely interested in the computation of the magneto-crystalline anisotropy energy (MCA) that results ...

The SWI/SNF chromatin remodeling complex is a major epigenetic regulator involved in embryonic development and in cell differentiation. In addition, genes encoding components of SWI/SNF are altered in at least 20% of cancers. Even though the SWI/SNF complex is usually r...

In the prevailing situation of unsustainable fossil fuel resources and the elevated levels of air pollutant emissions, the state-of-the-art of combustion investigations confronts primarily two challenges. These are on the one hand the optimization of the fossil fuel com...