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Organizado por EDANYA

Numerical methods for hyperbolic problems 2019

  • Fechas:

    Del 17/06/19 al 21/06/19

  • Lugar:

    Instituto de Estudios Portuarios, Málaga Port, Málaga, España (mapa)

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NumHyp19 is the sixth in a series of biannual conferences that began with a meeting in Castro Urdiales, Spain in 2009. Further editions of this conference were held in Roscoff, France in 2011, Aachen, Germany in 2013, Cortona, Italy in 2015, and Monte Verità, Switzerland in 2017. These conferences focus on recent developments and new directions in the area of numerical methods for hyperbolic and convection dominated partial differential equations (PDEs). These PDEs arise in a large number of models in physics and engineering. Prominent examples include the compressible and incompressible Euler and Navier-Stokes equations, the shallow water equations, the magneto-hydrodynamics equations, multiphase fluid models, etc. Example of application areas are aerodynamics, oceanography, plasma physics, solid mechanics...

These PDEs have been subjected to extensive analytical and numerical studies over the last decades. It is widely known that their solutions can exhibit very complex behavior including the presence of singularities such as shock waves, sensitive dependence to initial conditions, presence of multiple spatio-temporal scales, appearance of turbulent regimes, etc. The design and the analysis of numerical methods with good properties to solve them are still a challenge. 

The list of main topics of this edition include:

  • Well-balanced methods

  • High-order methods

  • Uncertainty Quantification

  • Dispersive medium models

  • Measure valued/statistical solutions

  • Stochastic models

  • Kinetic equations

  • Asymptotic preserving methods

  • Applications: geophysics, astrophysics, etc.


NumHyp19 will be a key activity of the European innovative training network entitled ModCompShock (Modelling and Computation of Shocks and Interfaces). 

This conference is a satellite event of ICIAM 2019 that will be held in Valencia (Spain) from 15 to 19 July 2019.

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José Antonio Carrillo (Imperial College, UK)

Well-balanced finite volume schemes for hydrodynamic equations with general free energy and noise


Stéphane Clain (U. Minho, Portugal)

Very high-order schemes with curved domains


Michael Dumbser (U. Trento, Italy)
New hyperbolic models and numerical algorithms for Newtonian and general relativistic continuum physics

Martin Frank (Karlsruhe Institute of Technology, Germany)
Entropy-based closures for uncertainty quantification of hyperbolic conservation laws

José María Gallardo (U. Málaga, Spain)
Incomplete Riemann solvers based on functional approximations to the absolute value function

Raphaèle Herbin (Université d'Aix-Marseille, France)

On some stable and weakly consistent staggered schemes for the compressible Euler equations


Hana Mizerová (Comenius U. Bratislava, Slovakia) 

Convergence of a new finite volume scheme for the Euler equations of gas dynamics


Claus-Dieter Munz (U. Stuttgart, Germany)

A sharp interface approach for compressible multiphase flow


Deep Ray (École Polytechnique Fédérale de Lausanne, Switzerland)

Using Deep Learning to overcome algorithmic bottlenecks


Jacques Sainte-Marie (Inria font-stretch: normal; font-size: 14px; line-height: normal; font-family: Arial; color: rgb(26, 26, 26);"> Free surface flows: from hydrostatic to non-hydrostatic models


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