The VII European Workshop on “High Order Numerical Methods for Evolutionary PDEs: Theory and Applications” will take place from April 1-5, 2019 in Madrid, Spain, and is a satellite conference of International Congress on Industrial and Applied Mathematics (ICIAM 2019) in Valencia.
This is the VII edition of HONOM conference which will take place in Madrid (Spain) at Escuela Técnica Superior de Ingenieros de Minas y Energía (Universidad Politécnica de Madrid). The previous ones were held in Trento (2007, 2009, 2011, 2015), Bordeaux (2013) and Stuttgart (2017). Mathematical modeling, based on Partial Differential Equations (PDEs) and numerical simulation are fundamental tools in the context of problems arising in engineering, physics, biology or medicine among many others, from the point of view of computational efficiency and accuracy of the results obtained. In the field of CFD, finite volume and discontinuous Galerkin methods are commonly used. In order to achieve high order of accuracy in space, high order reconstruction methods were firstly introduced in the 80s, namely Essentially Non Oscillatory (ENO) schemes. Later on Weighted ENO (WENO) techniques and Central WENO (CWENO) methods were developed. Total Variation Diminishing (TVD) schemes allow to obtain well-established second order schemes. However, this TVD property is also used in Runge-Kutta schemes to get higher order of accuracy, such as the third order RK-TVD scheme which is widely used. More recently ADER approach, in the context of Riemann problems, was introduced which allows to obtain arbitrary order of accuracy. A step forward in ADER schemes are the so called Local Space-Time DG which allow to apply ADER method to problems with stiff source terms.
The aim of this conference is to present new research in the field of high order numerical methods applied to mathematical models based on PDEs to simulate a wide range of physical phenomena.
Topics of the conference are: High order finite difference and finite volume numerical schemes, DG methods, design of algorithms, adaptive mesh refinement, ENO, WENO and CWENO reconstruction, finite element methods, time stepping.
For more information, please see http://eventos.upm.es/13680/detail/honom-2019.html