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Mathematical Modelling in Real Life Problems

Case Studies from ECMI-Modelling Weeks

  • Book
  • © 2020

Overview

Editors:
  1. Ewald Lindner

    1. Institute of Computational Mathematics, Johannes Kepler University of Linz, Linz, Austria

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  2. Alessandra Micheletti

    1. Department of Environmental Sciences and Policy and Data Science Research Center Milano, Università degli Studi di Milano, Milano, Italy

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  3. Cláudia Nunes

    1. Center for Computational and Stochastic Mathematics, Instituto Superior Técnico (IST), Universidade de Lisboa, Lisboa, Portugal

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  • All problems are real world problems.
  • A wide range of both mathematical techniques and applications, and thus one can find problems suitable for any mathematical background
  • The structure of each chapter as "posed problem" and "proposal of solution" is of great value for teachers that would like to drive modelling seminars, and students that would like to see applications of familiar mathematical tools to exciting real problems

Part of the book series: Mathematics in Industry (MATHINDUSTRY, volume 33)

Part of the book sub series: The European Consortium for Mathematics in Industry (TECMI)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-viii
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  2. Inverse Problems in Diffuse Optical Tomography Applications

    • Paola Causin, Rada-Maria Weishaeupl
    Pages 1-16

  3. 1D Models for Blood Flow in Arteries

    • Alexandra Bugalho de Moura
    Pages 17-33

  4. Uncertainty Quantification of Chemical Kinetic Reaction Rate Coefficients

    • É. Valkó, T. Turányi
    Pages 35-44

  5. Nuclear Accidents: How Can Mathematicians Help to Save Lives?

    • Simone Göttlich
    Pages 45-58

  6. Drug Delivery from Ophthalmic Lenses

    • José Augusto Ferreira
    Pages 59-70

  7. The Zombie Invasion

    • Jarosław Gruszka
    Pages 71-85

  8. Optimal Heating of an Indoor Swimming Pool

    • Monika Wolfmayr
    Pages 87-101

  9. Some Basic Epidemic Models

    • Danijela Rajter-Ćirić
    Pages 103-116

  10. Mathematical Model for the Game Management Plan

    • Milana Pavić-Čolić
    Pages 117-131

  11. Efficient Parameter-Dependent Simulation of Infections in a Population Model

    • Filippo Terragni
    Pages 133-146

  12. Optimising a Cascade of Hydro-Electric Power Stations

    • Marta Pascoal
    Pages 147-154

  13. Networks of Antennas: Power Optimization

    • Stéphane Labbé
    Pages 155-165
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Keywords

About this book

This book is intended to be a useful contribution for the modern teaching of applied mathematics, educating Industrial Mathematicians that will meet the growing demand for such experts.

It covers many applications where mathematics play a fundamental role, from biology, telecommunications, medicine, physics, finance and industry. It is presented in such a way that can be useful in Modelation, Simulation and Optimization courses, targeting master and PhD students. Its content is based on many editions from the successful series of Modelling Weeks organized by the European Consortium of Mathematics in Industry (ECMI). Each chapter addresses a particular problem, and is written in a didactic way, providing the description of the problem, the particular way of approaching it and the proposed solution, along with the results obtained.



Editors and Affiliations

  • Institute of Computational Mathematics, Johannes Kepler University of Linz, Linz, Austria

    Ewald Lindner

  • Department of Environmental Sciences and Policy and Data Science Research Center Milano, Università degli Studi di Milano, Milano, Italy

    Alessandra Micheletti

  • Center for Computational and Stochastic Mathematics, Instituto Superior Técnico (IST), Universidade de Lisboa, Lisboa, Portugal

    Cláudia Nunes

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