About us

The objectives of the research in our group are the design and analysis of numerical methods that can make an efficient use of the computational resources available by adapting them to the data of a numerical simulation of predominantly convective processes or the adaptive treatment of images and signals using multiresolution techniques. The numerical methods for partial differential equations that we design and analyze are used in fields as diverse as gas dynamics, both compressible and incompressible, the sedimentation of polydispersed suspensions, flows in porous media, dynamics of charged particles, shallow water models, etc. The ability to use approximation techniques within a multiresolution environment has proven extremely useful in the compression of signals with strong gradients in applications such as image restoration, disparity calculation or optical flow. Techniques specifically designed to preserve other data properties, such as convexity and monotony, are also used, which is crucial in the process of generating data in various applications.