HONOM 2019. EUROPEAN WORKSHOP ON HIGH ORDER NUMERICAL METHODS FOR EVOLUTIONARY PDEs: THEORY AND APPLICATIONS.
Pablo A. Kler
pabloakler at gmail.com
Wed Jan 9 10:53:57 -03 2019
lugar: Madrid, España.
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 efficency and accuracy of the
results obtained. In the field of computational fluid dynamics 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 have been 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.
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