Grups d'Investigació

GIUV2016-333

The research objectives of our group are the design and analysis of numerical methods that can make efficient use of available computational resources by adapting them to data from a numerical simulation of predominantly convective processes or from adaptive image and signal processing using multiresolution techniques. The numerical methods for partial differential equations that we design and analyse are used in fields as diverse as gas dynamics, both compressible and incompressible, sedimentation of polydisperse suspensions, flows in porous media, dynamics of charged particles, shallow water models, etc. The ability to use approximation techniques within a multi-resolution environment has proven extremely useful in the compression of strongly gradient signals in applications such as image restoration, disparity calculations or optical flow. Techniques specifically designed to preserve other data properties, such as convexity and monotonicity, are also used, which is crucial in the data generation process in various applications.

http://gata.uv.es

• Metodos numericos adaptativos para proceso de imagenes y modelos con EDP

• Image processing.Non-linear, data-dependent approximation techniques are used in a multi-resolution environment for the compression of strongly gradient signals in applications such as image restoration, disparity calculation or optical flow.
• Numerical methods for equations of hyperbolic type.Numerical methods for partial differential equations are designed and analysed for use in fields as diverse as gas dynamics, both compressible and incompressible, sedimentation of polydisperse suspensions, flows in porous media, charged particle dynamics, etc.

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• Mathematics

• multiresolution, compression, subdivision
• HRSC, AMR, polydisperse sedimentation, porous media, laser-plasma interaction, IMEX