Titlebook: Mathematical Modelling; Matti Heili?,Timo L?hivaara,Marko Vauhkonen,Seppo Textbook 2016 Springer International Publishing Switzerland 201

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Continuum Models, say that this latter question sounds a bit artificial and naive. However, helium balloons are regularly sent to the upper atmosphere for observing weather data. When designing and controlling such measurements, one has to know how high the balloons will rise and how much time they need for the journey.

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Simplification of Models,, is often quite complicated and difficult to analyse mathematically. A straightforward numerical realization is often costly and may give very little qualitative understanding of the situation. It is therefore important to study if the model can be systematically simplified in order to enhance a qualitative analysis/understanding.

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Data Based Models,In mathematics, one often has to fit a curve of a certain type for a given data or, in other words, to find a . for the data. E.g., imagine that the temperature in a city has been measured hourly, but a meteorologist would like to use temperatures also at other points in time. How can he or she figure them out?

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Matti Heili?,Timo L?hivaara,Marko Vauhkonen,Seppo Covers the most important classical and modern methods of mathematical modelling.Can be used as textbook or as complimentary material in mathematical modelling courses.Contains 31 project titles as we

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https://doi.org/10.1007/978-3-319-27836-0acoustical modeling; data based models; differential equations; dimensional analysis; dontinuum models; f