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Currents in Industrial Mathematics

From Concepts to Research to Education

  • Book
  • © 2015

Overview

Editors:
  1. Helmut Neunzert

    1. Techno- und Wirtschaftsmathematik (ITWM), Fraunhofer Insitut für Techno- und Wirtschaftsmathematik (ITWM), Kaiserslautern, Germany

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  2. Dieter Prätzel-Wolters

    1. Fraunhofer Institut für Techno- und Wirtschaftsmathematik (ITWM), Kaiserslautern, Germany

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  • Shows how problems in the industry can be modelled and solved mathematically
  • Gives examples of applications, research, and education in industrial mathematics
  • Grants a deep insight into the work of the Fraunhofer Institute (ITWM)
  • Includes supplementary material: sn.pub/extras

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Introduction

    1. Front Matter

      Pages 1-1
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    2. Problems Trump Methods: A Somewhat Different Mathematics from a Somewhat Different Institute

      • Dieter Prätzel-Wolters, Helmut Neunzert
      Pages 3-30

  3. Concepts

    1. Front Matter

      Pages 31-31
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    2. Modeling

      • Helmut Neunzert
      Pages 33-48

    3. Numerics

      • Oleg Iliev, Konrad Steiner, Oliver Wirjadi
      Pages 49-64

    4. Data Analysis

      • Patrick Lang, Jürgen Franke
      Pages 65-82

    5. Optimization Processes in Practice

      • Karl-Heinz Küfer
      Pages 83-100

  4. Research

    1. Front Matter

      Pages 101-101
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    2. Virtual Production of Filaments and Fleeces

      • Raimund Wegener, Nicole Marheineke, Dietmar Hietel
      Pages 103-162

    3. Modeling and Simulation of Filtration Processes

      • Oleg Iliev, Ralf Kirsch, Zahra Lakdawala, Stefan Rief, Konrad Steiner
      Pages 163-228

    4. Maximal Material Yield in Gemstone Cutting

      • Karl-Heinz Küfer, Volker Maag, Jan Schwientek
      Pages 229-289

    5. Robust State Estimation of Complex Systems

      • Jan Hauth, Patrick Lang, Andreas Wirsen
      Pages 291-350

    6. Option Pricing in Practice—Heston’s Stochastic Volatility Model

      • Sascha Desmettre, Ralf Korn, Tilman Sayer
      Pages 351-400

  5. Education

    1. Front Matter

      Pages 401-401
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    2. Applied School Mathematics—Made in Kaiserslautern

      • Wolfgang Bock, Martin Bracke
      Pages 403-437
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Keywords

About this book

This book offers an insider's view of how industrial problems are translated into mathematics and how solving the mathematics leads to convincing industrial solutions as well. In 6 technical chapters, a wide range of industrial problems is modeled, simulated, and optimized; 4 others describe the modeling, computing, optimization, and data analysis concepts shaping the work of the Fraunhofer ITWM. Each technical chapter illustrates how the relevant mathematics has been adapted or extended for the specific application and details the underlying practical problem and resulting software. The final chapter shows how the use of mathematical modeling in the classroom can change the image of this subject, making it exciting and fun.

Editors and Affiliations

  • Techno- und Wirtschaftsmathematik (ITWM), Fraunhofer Insitut für Techno- und Wirtschaftsmathematik (ITWM), Kaiserslautern, Germany

    Helmut Neunzert

  • Fraunhofer Institut für Techno- und Wirtschaftsmathematik (ITWM), Kaiserslautern, Germany

    Dieter Prätzel-Wolters

About the editors

Prof. Dr. Helmut Neunzert, Fraunhofer ITWM, Kaiserslautern

Prof. Dr. Dieter Prätzel-Wolters, Fraunhofer ITWM, Kaiserslautern

Bibliographic Information

  • Book Title: Currents in Industrial Mathematics

  • Book Subtitle: From Concepts to Research to Education

  • Editors: Helmut Neunzert, Dieter Prätzel-Wolters

  • DOI: https://doi.org/10.1007/978-3-662-48258-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2015

  • Hardcover ISBN: 978-3-662-48257-5Published: 23 October 2015

  • Softcover ISBN: 978-3-662-51585-3Published: 23 August 2016

  • eBook ISBN: 978-3-662-48258-2Published: 01 November 2015

  • Edition Number: 1

  • Number of Pages: VIII, 437

  • Additional Information: Original German edition published by Springer-Verlag GmbH, Heidelberg, 2015

  • Topics: Mathematical Modeling and Industrial Mathematics, Mathematical and Computational Engineering, Optimization

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