Topics in Industrial Mathematics

1. Front Matter

   Pages i-xiii

   PDF

2. Case Studies at Kaiserslautern

   • Helmut Neunzert, Abul Hasan Siddiqi

   Pages 1-52

3. Algorithms for Optimization

   • Helmut Neunzert, Abul Hasan Siddiqi

   Pages 53-77

4. Maxwell’s Equations, Finite and Boundary Element Methods

   • Helmut Neunzert, Abul Hasan Siddiqi

   Pages 79-152

5. Monte Carlo Methods

   • Helmut Neunzert, Abul Hasan Siddiqi

   Pages 153-180

6. Image Processing and Fourier — Wavelet Methods

   • Helmut Neunzert, Abul Hasan Siddiqi

   Pages 181-264

7. Models of Hysteresis and Applications

   • Helmut Neunzert, Abul Hasan Siddiqi

   Pages 265-285

8. Appendix

   • Helmut Neunzert, Abul Hasan Siddiqi

   Pages 287-344

9. Back Matter

   Pages 345-377

   PDF

Industrial Mathematics is a relatively recent discipline. It is concerned primarily with transforming technical, organizational and economic problems posed by indus­ try into mathematical problems; "solving" these problems byapproximative methods of analytical and/or numerical nature; and finally reinterpreting the results in terms of the original problems. In short, industrial mathematics is modelling and scientific computing of industrial problems. Industrial mathematicians are bridge-builders: they build bridges from the field of mathematics to the practical world; to do that they need to know about both sides, the problems from the companies and ideas and methods from mathematics. As mathematicians, they have to be generalists. If you enter the world of indus­ try, you never know which kind of problems you will encounter, and which kind of mathematical concepts and methods you will need to solve them. Hence, to be a good "industrial mathematician" you need to know a good deal of mathematics as well as ideas already common in engineering and modern mathematics with tremen­ dous potential for application. Mathematical concepts like wavelets, pseudorandom numbers, inverse problems, multigrid etc., introduced during the last 20 years have recently started entering the world of real applications. Industrial mathematics consists of modelling, discretization, analysis and visu­ alization. To make a good model, to transform the industrial problem into a math­ ematical one such that you can trust the prediction of the model is no easy task.

• Mathematica
• Monte Carlo method
• Wavelet
• algorithm
• algorithms
• calculus
• derivative
• finite element method
• image processing
• mathematics
• model
• modeling
• numerical methods
• optimization
• optimization algorithm

• Kaiserslautern, Germany

  Helmut Neunzert

• Aligahr, India

  Abul Hasan Siddiqi

• Dhahran, Saudi Arabia

  Abul Hasan Siddiqi

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