书目名称 | Practical Asymptotics | 编辑 | H. K. Kuiken | 视频video | | 图书封面 |  | 描述 | Practical Asymptotics is an effective tool for reducing thecomplexity of large-scale applied-mathematical models arising inengineering, physics, chemistry, and industry, without compromisingtheir accuracy. It exploits the full potential of the dimensionlessrepresentation of these models by considering the special nature ofthe characteristic dimensionless quantities. It can be argued thatthese dimensionless quantities mostly assume extreme values,particularly for practical parameter settings. Thus, otherwisecomplicated models can be rendered far less complex and the numericaleffort to solve them is greatly reduced. .In this book the effectiveness of Practical Asymptotics isdemonstrated by fifteen papers devoted to widely differing fields ofapplied science, such as glass-bottle production, semiconductors,surface-tension-driven flows, microwaving joining, heat generation infoodstuff production, chemical-clock reactions, low-Mach-number flows,to name a few. .A strong plea is made for making asymptotics teaching an integral partof any numerics curriculum. Not only will asymptotics reduce thecomputational effort, it also provides a fuller understanding of theunderlying problems. | 出版日期 | Book 2001 | 关键词 | Mathematica; Potential; complexity; fluid mechanics; mechanics; numerics; simulation | 版次 | 1 | doi | https://doi.org/10.1007/978-94-010-0698-9 | isbn_softcover | 978-94-010-3827-0 | isbn_ebook | 978-94-010-0698-9 | copyright | Springer Science+Business Media Dordrecht 2001 |
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