Mathematical Modelling in Real Life Problems: Case Studies from ECMI-Modelling Weeks

✍ Scribed by Ewald Lindner, Alessandra Micheletti, Cláudia Nunes

• Publisher: Springer International Publishing;Springer
• Year: 2020
• Tongue: English
• Leaves: 170
• Series: Mathematics in Industry 33
• Edition: 1st ed.
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-viii
Inverse Problems in Diffuse Optical Tomography Applications (Paola Causin, Rada-Maria Weishaeupl)....Pages 1-16
1D Models for Blood Flow in Arteries (Alexandra Bugalho de Moura)....Pages 17-33
Uncertainty Quantification of Chemical Kinetic Reaction Rate Coefficients (É. Valkó, T. Turányi)....Pages 35-44
Nuclear Accidents: How Can Mathematicians Help to Save Lives? (Simone Göttlich)....Pages 45-58
Drug Delivery from Ophthalmic Lenses (José Augusto Ferreira)....Pages 59-70
The Zombie Invasion (Jarosław Gruszka)....Pages 71-85
Optimal Heating of an Indoor Swimming Pool (Monika Wolfmayr)....Pages 87-101
Some Basic Epidemic Models (Danijela Rajter-Ćirić)....Pages 103-116
Mathematical Model for the Game Management Plan (Milana Pavić-Čolić)....Pages 117-131
Efficient Parameter-Dependent Simulation of Infections in a Population Model (Filippo Terragni)....Pages 133-146
Optimising a Cascade of Hydro-Electric Power Stations (Marta Pascoal)....Pages 147-154
Networks of Antennas: Power Optimization (Stéphane Labbé)....Pages 155-165

✦ Subjects

Mathematics; Applications of Mathematics; Computational Mathematics and Numerical Analysis; Optimization; Mathematical and Computational Biology; Probability Theory and Stochastic Processes; Discrete Mathematics