CHAPTER 5

INDUSTRIAL MATHEMATICS WITH APPLICATIONS

ALFREDO BERMÚDEZ1 AND LUZ M. GARCÍA GARCÍA2

1Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, Spain

2Instituto Español de Oceanografía, Spain

The introduction of computers in the middle of the last century and the continuous and spectacular increasing in their power is a key issue in the scientific and technological revolution of the last decades. Computers have created needs of mathematical expertise in almost all fields. Close interaction between mathematicians, computer scientists and application field experts is necessary to correctly and fully exploit the enormous potential that the computer has brought. This is true not only for mathematical applications to other sciences but for industrial applications as well.

5.1 INDUSTRIAL MATHEMATICS

Mathematical modeling is nowadays a key tool for innovation in almost every industrial sector (see [10] for a wide variety of examples). By using computer simulation-based on mathematical models, industry is able to create new products and processes and introduce them into the market in much shorter times than by using the conventional trial and error experiment-based methodology. Building a prototype is done by making virtual essays in a computer before it is effectively manufactured and is subjected to the tests required by its specifications sheet. Thus, not only is the time to market considerably reduced but also are the development costs, allowing the company ...

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