exito ciencia

Irregular Hodge filtration of hypergeometric systems

Abstract: We determine the irregular Hodge filtration of some one-dimensional hypergeometric D-modules, we prove that general GKZ systems underlie irregular mixed Hodge modules and extend the definition of the Fourier-Laplace transform to integrable mixed twistor D-modules.  Researchers: Alberto Castaño, Th.  Reichelt (Heidelberg), Ch. Sevenheck (TU Chemnitz)  Related publications: https://doi.org/10.1017/S1474748019000288 https://doi.org/10.2140/ant.2019.13.1415  iMAT research line:   ⊕ RL11. …

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Loewner theory

Abstract: We have developed a new approach to the powerful Loewner theory (an area in the confluence of complex analysis and differential equations). This approach, that includes both radial and chordal versions of the Loewner equations, still raises many issues of great interest (stochastic variants, relationships with Physics,…) and is one of my priority areas …

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Accurate analysis of courtyard thermal performance with application to project design in Architecture

Abstract: Courtyards are an effective passive strategy for improving the energy performance of buildings. However, there is a lack of accurate simulation tools for their thermal performance due to their complex thermodynamics. The main contribution is the coupling of a CFD model with a system of differential equations at the walls, governing surface and inner …

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Use of innovative HPC techniques for faster than real time simulations

Abstract: Faster than real time simulations are mandatory for the integration of the numerical models in the core of Early warning systems for natural disasters. Achieving this goal could be possible combing domain decomposition techniques with dynamic or static load balancing algorithms and efficient implementation on new computational architectures, as GPUs. Moreover, the design of …

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Integration of Tsunami-HySEA in existing general purpose Natural Hazards tools

Abstract: The model Tsunami-HySEA  has been integrated in the general purpose natural hazards tools developed by JRC (EU) (see Webcritech (europa.eu)), Tridec Cloud developed by GFZ (Germany) (TRIDEC Cloud (gfz-potsdam.de)  release Silvia) and TOAST (Seiscomp3) developed by gempa-GmbH. Read more Researchers: EDANYA group Partners: University of Málaga, JRC, GFZ and gempa- GmbH Collaboration agreement: UMA-JRC. …

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The scutoid hug

Abstract: Without doubts, the discover of the scutoid, as the geometric solution given by nature to cells in order to allow epithelial tissues to fold, is a clear example of a hug between mathematics and cellular biology. And the story of that discover started thanks to the work in math popularization by Dr. Grima. Thanks …

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Design of a theoretical framework to derive high-order numerical methods for hyperbolic systems of PDEs that include nonconservative products and/or source terms with good mathematical properties

Abstract: Many geophysical flow models have the form of nonlinear hyperbolic PDE systems that include source terms and nonconservative products. Besides the well-known theoretical and numerical difficulties related to systems of conservation laws, like the appearance of shock waves, new issues arise for these systems: definition of weak solutions, design of high-order shock capturing schemes, …

Design of a theoretical framework to derive high-order numerical methods for hyperbolic systems of PDEs that include nonconservative products and/or source terms with good mathematical properties Leer más »

Interactions vesicles membranes and liquid crystals

Abstract: Interactions of liquid crystalline phases with vesicles membranes have been widely studied in recent times due to its connection with biological materials. We have introduced new model to represent vesicle membranes with internal nematic order. Moreover, efficient and stable numerical schemes are provided jointly with specific numerical simulations helping to understand the behaviour of these …

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