Numerical methods and applications

Join this Workgroup

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

Co Leaders

Jan Giesselmann Germany

Technical University Darmstadt
Dolivostr. 15
Darmstadt
Germany
No additional info

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

Aladin Crnkić

Bosnia and Herzegovina
Faculty of Technical Engineering, University of Bihać
Srebrenicka 115
Bihać
Bosnia and Herzegovina

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

Ivica NAKIĆ

Croatia
University of Zagreb
Bijenička cesta 30
Zagreb
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

Jan Sokolowski

France
Université de Lorraine
IECL
Nancy
France

Matthias Ehrhardt

Germany
University of Wuppertal
Gaussstrasse 20, 42119 Wuppertal
Wuppertal
Germany

Enrique Zuazua

Germany
Friedrich-Alexander-Universität Erlangen-Nürnberg
Cauerstraße 11
Erlangen
Germany

Teresa Kunkel

Germany
Technical University Darmstadt
Dolivostr. 15
Darmstadt
Germany

Aleksey Sikstel

Germany
TU Darmstadt
Dolivostr 15
64293 Darmstadt
Germany

Martin Gugat

Germany
Friedrich-Alexander Universität Erlangen-Nürnberg
Cauerstr. 11, 91058 Erlangen
Erlangen
Germany

Daniel Veldman

Germany
Friedrich-Alexander Universität Erlangen-Nürnberg
Cauerstrasse 11
Erlangen
Germany

Kersten Schmidt

Germany
Technical University of Darmstadt
Dolivostraße 15, 64293 Darmstadt
Darmstadt
Germany

Xu HUANG

Germany
Erlangen
Cauerstr. 11
Erlangen
Germany

Ioannis KIOUTSIOUKIS

Greece
University of Patras
University campus, Physics Department
Patras
Greece

István LADJÁNSZKI

Hungary

Boglárka G.-Tóth

Hungary
University of Szeged
Árpád tér 2.
Szeged
Hungary

Gábor János Tornai

Hungary
StreamNovation Szoftverfejlesztő Kft. (Ltd.)
Práter u 50/a, 1083
Budapest
Hungary

Brendan HAYES

Ireland
Dublin City University
Dublin City University
Dublin
Ireland

Yosi KELLER

Israel
Bar Ilan
Bar Ilan University
Ramat Gan
Israel

Stefano DE LUCA

Italy

Roberta DI PACE

Italy

Kenneth SCERRI

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

Pedro ANTUNES

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

Sandra FERREIRA

Portugal
Faculty of Sciences, University of Beira Interior
Avenida Marquês D'Ávila e Bolava
6200 Covilhã
Portugal

Sílvia Barbeiro

Portugal
CMUC, Department of Mathematics, University of Coimbra
Departamento de Matemática da FCTUC, Apartado 3008, EC Santa Cruz
Coimbra
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

Daniel KRESSNER

Switzerland
EPFL
Station 8
Lausanne
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

Ilknur Kusbeyzi Aybar

Turkey
Yeditepe University
Inonu Mah. Kayisdagi Cad. 26 Agustos Yerlesimi, 34755, Atasehir, Istanbul, Turkey
Istanbul
Turkey

Emel Aşıcı

Turkey
Software Engineering
Karadeniz Technical University
Trabzon
Turkey

Peter Kogut

Ukraine
Oles Honchar Dnipro National University
Kazakove, 18/14
Dnipro
Ukraine

Peter Kogut

Ukraine
Oles Honchar Dnipro National University
Kazakova, 18/14
Dnipro
Ukraine

Sven GNUTZMANN

United Kingdom
University of Nottingham
University Park
Nottingham
United Kingdom
Templates title