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Titlebook: Mathematical Modelling; Matti Heiliö,Timo Lähivaara,Marko Vauhkonen,Seppo Textbook 2016 Springer International Publishing Switzerland 201

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书目名称Mathematical Modelling
编辑Matti Heiliö,Timo Lähivaara,Marko Vauhkonen,Seppo
视频video
概述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
图书封面Titlebook: Mathematical Modelling;  Matti Heiliö,Timo Lähivaara,Marko Vauhkonen,Seppo  Textbook 2016 Springer International Publishing Switzerland 201
描述.This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context.  .The book combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis.  .                       .
出版日期Textbook 2016
关键词acoustical modeling; data based models; differential equations; dimensional analysis; dontinuum models; f
版次1
doihttps://doi.org/10.1007/978-3-319-27836-0
isbn_softcover978-3-319-80226-8
isbn_ebook978-3-319-27836-0
copyrightSpringer International Publishing Switzerland 2016
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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 Heiliö,Timo Lähivaara,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
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