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Carlos María Parés Madroñal

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Research Interest and Projects

Research Interest
Selected invited talks
Seminars
Short Courses
Scientific events organization
Selected participation on Scientific Committees

Research Interest

Numerical Analysis of Partial Differential Equations.
Balance laws and non-conservative hyperbolic systems.
Shallow water systems.
Geophysical flows.
Numerical methods for PDEs: Finite Element, Finite difference, Finite Volume,
Galerkin discontinuous methods.
High order and well-balanced numerical schemes. Back to top

Selected invited talks:

European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs: Theory and Applications (Honom 2017), Stuttgart (Germany), 2017.
Workshop on Recent Advances in PDEs: Analysis, Numerics, and Control. Sevilla (Spain), 2017.
Workshop on Modeling and Computation of Shocks and Interfaces. Université P. et M. Curie. Paris (France), 2016.
11th DFG-CNRS Workshop on Micro-Macro Modeling and Simulation of Liquid-Vapor Flows. Université P. et M. Curie. Paris (France), 2016.
Workshop on Models, Simulation, Optimization: Mathematical Technologies for Industrial Innovation in Europe. Accademia dei Lincei, Roma (Italy), 2016.
Kick-off meeting of the European Project ModCompShock. Univestiy of Sussex. Brighton (UK), 2016.
Escuela Nacional de Optimización y Análisis Numérico (ENOAN 2015). Universidad Autónoma de México. México D.F., México 2015.
Workshop on Recent Advances in Numerical Methods for Hyperbolic Conservation Laws. University of Stuttgart. Stuttgart, 2014.
Basque Colloquium in Mathematics and its Applications. BCAM. Bilbao (Spain), 2013.
Workshop 'Environmental Mathematics Day'. BCAM. Bilbao (Spain), 2013.
10th SIMAI Congress. Cagliary (Italy), 2010.
Final Workshop of the Intensive Period on Analytical and Numerical Problems in Fluid DyNaMics with Applications. University of Catania. Catania (Italy), 2010.
Advanced School in Mathematical Modelling. Instituto de Matemáticas de la Universidad de Sevilla. Sevilla, 2009.
3d International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources MAMERN09, Pau (France), 2009.
3d International Conference on High-Order Non-Oscillatory Methods for Wave Propagation: Algorithms and Applications (Honom 2019). Trento (Italy), 2009.
Workshop on Mathematical and Computational Aspects of Modeling Hazardous Geophysical Mass Flows. University of Washington. Seattle (U.S.A.), 2009.
1st Hispano-Moroccan Days on Applied Mathematics and Statistics HMAMS. Tétouan (Morocco), 2008
Conference Maths & Water. Instituto Universitario de Matemáticas y Aplicaciones. University of Zaragoza. Zaragoza (Spain), 2008.
XX CEDYA/ X Congreso de Matemática Aplicada. Universidad de Sevilla. Sevilla (Spain), 2007.
First French-Spanish Congress of Mathematics. University of Zaragoza. Zaragoza (Spain), 2007.
Partial Differential Equations, Optimal Design and Numerics. Benasque (Spain), 2005.
Workshop sur Mathématiques pour l'Océanographie. Calacuccia (Corse, France), 2005.
Numerical Analysis and Scientific Computing with PDES and their challenging applications. Espoo (Finland), 2005.
Séminaire Franco-Espagnol lors de la Cérémonie de remise dépée dacadémicien à Olivier Pironneau. Paris, 2003.
La obra científica de J. L. Lions y su influencia en España. Madrid, 2003.
Journée en l’honneur de Vivette Girault lors de son 60-ème anniversaire. Paris, 2003.
Réunion Conjointe de l'Académie des Sciences de l'Institut de France et la Real Academia de Ciencias de España sur Mathématiques et Environnement. Paris, 2000.
IX Spanish-French School on Numerical Simulation in Physics and Engeneering. Laredo (Spain), 2000.
Ocean Circulation and Pollution Control. A Mathematical and Numerical Investigation. A Diderot Mathematical Forum. Madrid, Amsterdam, Venecia (video conference),1998.
XV CEDYA/ V Congreso de Matemática Aplicada, Vigo (Spain), 1997. Back to top

Seminars

E.T.S.I. Minas, Universidad Politécnica de Madrid (1989); Universidad Complutense de Madrid (1990); Instituto Tecnico Superior Lisboa (1997); Universidad de La Coruña (1999); Universidad de Santiago de Compostela (1999); Universidad de Sevilla (1999); Universidad de Vigo (2002); Universidad de La Coruña (2004); Universidad de Valencia (2005); École Normale Supérieure (2006); University of Trento (2007); Universidad de Valladolid (2007); Universidad de Sevilla (2009); Université P. et M. Curie Paris VI (2010 and 2011); ETH Zurich (2011); Universidad de Valladolid (2012); Universidad de Granada (2014); Universidad de Castilla-La Mancha (2017). Back to top

Short courses:

Shallow water models: derivation and numerical resolution. Escuela Nacional de Optimización y Análisis Numérico (ENOAN 2015). Universidad Autónoma de México. México D.F., México 2015.
Simulation of Geophysical Flows. European Summer School in Industrial Mathematics (ESSIM 2013). Universidad Carlos III. Leganés (Spain), 2013.
An introduction to high-order well-balanced numerical schemes for hyperbolic systems with source terms. In “2d Congress on Numerical Approximations of Hyperbolic Systems with Source Terms and Applications. Roscoff (France), 2011.
Numerical simulation of geophysical flows with shallow water models. In “SIMUMAT Summer School”. Castro Urdiales (Spain), 2010.
A multilayer shallow water model. Applications to the modelling of the Alboran Sea and the Strait of Gibraltar. In “NATO Institute for Advanced Studies: The Mathematics of Models for Climatology and Environment". Puerto de la Cruz (Spain), 1995.
An introduction to the Finite Element Method for Fluids. VI Spanish-French School on Numerical Simulation in Physics and Engineering. Sevilla (Spain), 1994. Back to top

Scientific events organization:

Workshop on Numerical Approximation of PDEs. Honoring the 60th birthday of Frédéric Hecht. Responsible for the organizing committee. Málaga, 2015.
Mathematical Modelling for Tsunami Early Warning Systems TSUMAMOS 2014. Responsible for the organizing committee. Málaga, 2014.
XV Spanish-French School on Numerical Simulation in Physics and Engineering’. Responsible for the organizing committee. Torremolinos (Málaga), 2012.
ECCOMAS Congress 2012. Executive committee. Vienna (Austria), 2012.
2d International Workshop on Numerical approximations of hyperbolic systems with source terms and applications. Organizing Committee. Roscoff (France), 2011.
2d i-Math Advanced School on Numerical Solutions of PDEs. Responsible for the organizing committee. Málaga (Spain), 2010.
1st International Workshop on Numerical approximations of hyperbolic systems with source terms and applications. Co-responsible for the organizing committee. CIEM, Castro Urdiales, 2009.
1st i-Math Advanced School on Numerical Solutions of PDEs. Organizing committee. CRM Barcelona (Spain), 2007.
Workshop on Numerical Methods for Hyperbolic Systems and Applications. Responsible for the organizing committee. Málaga (Spain), 2003.
Journées Franco-Espagnoles sur le contrôl des systèmes distribués. Organizing Committee. Málaga, 1990.
XI CEDYA/I Congress of Applied Mathematics. Organizing Committee. Fuengirola (Málaga, Spain), 1989.
II Spanish-French School on Numerical Simulation in Physics and Engineering. Organizing committee. Benalmádena Costa (Málaga, Spain), 1986. Back to top

Selected participation on Scientific Committees

XVII International Conference on Hyperbolic Problems. Penn State University (USA), 2018.
XVIII Spanish-French School on Numerical Simulation in Physics and Engineering. Las Palmas de Gran Canaria (Spain), 2018.
International Conference on Finite Volumes for Complex Applications. Lille (France), 2017.
Numerical Methods for hyperbolic problems with source terms and applications (NumHyp17). Monte Veritá (Switzerland), 2017.
Workshop on Mathematical solutions for industry: success stories and perspectives. ICMAT, Madrid (Spain), 2016.
ECCOMAS Congress 2016. Crete Island (Greece), 2016.
122 European Study Group with Industry. Santiago de Compostela, 2016.
Numerical Methods for hyperbolic problems with source terms and applications (NumHyp15). Cortona (Italy), 2015.
108 European Study Group with Industry. Santiago de Compostela, 2016.
XVI Spanish-French School on Numerical Simulation in Physics and Engineering. Las Palmas de Gran Canaria (Spain), 2014.
IACM-ECCOMAS 2014-WCCM 2014. CIMNE, Barcelona, 2014.
Numerical Methods for hyperbolic problems with source terms and applications (NumHyp11). Roscolff (France), 2013.
European Workshop on High-Order Non-Oscillatory Methods for Wave Propagation: Algorithms and Applications (HONOM 2011). Trento (Italy), 2011.
Numerical methods for Hyperbolic Equations: Theory and Applications. An International Conference to honour Professor E.F. Toro in the month of his 65th birthday. Santiago de Compostela, 2011.
XXI CEDYA/XI Congress of Applied Mathematics. Ciudad Real (Spain), 2009.
XVIII CEDYA/VIII Congress of Applied Mathematics. Tarragona (Spain), 2003.
XVII CEDYA/VII Congress of Applied Mathematics. Salamanca (Spain), 2003. Back to top