Numerical methods and applications

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WG5 - Numerical methods and applications

Overview

Since the differential equations which arise in applications like cell cycle, biological resource and demographic models, or vehicular traffic on road networks have a rather complicated structure, the analytical approach to the analysis of the dynamics of the corresponding system is not viable. Hence numerical methods are highly important for the success of the project.

The present project aims at finding most suitable numerical methods for applications appearing in the working plans of WG1-4. To this end, the existing approximation results will be analysed, and new techniques will be developed by taking into account the special requirements of modelling on networks.

The list of applications which will be tackled includes wave propagation in pipeline and road networks, dynamics of chemical networks, geodetic networks and multi-physics system simulations. These applications have important ramifications in real life and the development of successful numerical methods for them would be highly beneficial to the industrial partners.

Tasks

  1. Determine the spatial differential operator in problems proposed by WG2 and WG3, and provide appropriate space discretization techniques.
  2. Develop numerical methods specially designed for problems proposed by WG2 and WG3.
  3. Use the semigroup approach, and especially the results of WG1 and WG4, to prove the convergence of the new numerical methods.
  4. Generalize the results to broader classes of problems in network modelling.
  5. Apply the developed numerical methods to the applications proposed by the industrial partners.

Members

Leader

Daniel KRESSNER Switzerland

EPFL
Station 8
Lausanne
Switzerland
No additional info
Vice Leader

Petra CSOMÓS Hungary

Eötvös Loránd University, Institute of Mathematics
Pázmány Péter sétány 1/C
Budapest
Hungary
No additional info

Working Group Participants

Eglantina KALLUCI

Albania

Wim VANROOSE

Belgium
Universiteit Antwerpen
Middelheimlaan 1
Antwerpen
Belgium

Zlatinka DIMITROVA

Bulgaria
Bulgarian Academy of Sciences
Tzarigradsko Chausse Blvd. 72
Sofia
Bulgaria

Luka GRUBIŠIĆ

Croatia



Croatia

Zoran TOMLJANOVIĆ

Croatia

Josip TAMBACA

Croatia



Croatia

Zlatko DRMAC

Croatia



Croatia

Cumhur ERKUT

Denmark
Aalborg University
A.C. Meyers Vænge 15
Copenhagen SV
Denmark

Paola GOATIN

France
Inria
2004, route des Lucioles - BP 93
Sophia Antipolis - Méditerranée
France
Hyperbolic systems of conservation laws; Finite volume numerical schemes; Macroscopic traffic flow models on networks; PDE-constraied optimization

Matthias Ehrhardt

Germany
University of Wuppertal
Gaussstrasse 20, 42119 Wuppertal
Wuppertal
Germany

Ioannis KIOUTSIOUKIS

Greece
University of Patras
University campus, Physics Department
Patras
Greece

István LADJÁNSZKI

Hungary

Brendan HAYES

Ireland
Dublin City University
Dublin City University
Dublin
Ireland

Stefano DE LUCA

Italy

Roberta DI PACE

Italy

Kenneth SCERRI

Malta
University of Malta
Faculty of Engineering University of Malta
Msida
Malta

Sandra FERREIRA

Portugal



Portugal

Pedro ANTUNES

Portugal
Universidade Aberta
R. da Escola Politécnica 141-147
Lisbon
Portugal

Ivan PAVLOVIĆ

Serbia
Faculty of Mechanical Engineering - University of Nis
Aleksandra Medvedeva 14
Niš
Serbia
Department of Mechanics

Dušanka PERIŠIĆ

Serbia
Faculty of Sciences, University of Novi Sad
Trg Dositeja Obradovića 4
Novi Sad
Serbia

Igor MARINOVIĆ

Serbia
Manufaktura doo
Pap Pala 35
Subotica
Serbia

Bor PLESTENJAK

Slovenia

María Santos BRUZÓN GALLEGO

Spain
University of Cadiz
Av Republica Saharaui s/n
Puerto Real. Cadiz
Spain

Füchslin Rudolf MARCEL

Switzerland



Switzerland

Gianluca RIZZO

Switzerland
University of Applied Sciences Western Switzerland
Technopole 3
Sierre
Switzerland

Hamdullah YÜCEL

Turkey
Middle East Technical University, Institute of Applied Mathematics, Üniversiteler Mahallesi
Dumlupınar Bulvarı No:1
Ankara
Turkey
Research Interest: PDE-Constrained Optimization, Discontinuous Galerkin Methods, Adaptive Finite Element Methods, Phase Field Models, Uncertainty Quantification

Emre MENGI

Turkey
Koc University
Rumelifeneri Yolu, Sariyer
Istanbul
Turkey

Sven GNUTZMANN

United Kingdom
University of Nottingham
University Park
Nottingham
United Kingdom
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