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Titlebook: Numerical Approximation of the Magnetoquasistatic Model with Uncertainties; Applications in Magn Ulrich R?mer Book 2016 The Editor(s) (if a

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發(fā)表于 2025-3-21 16:46:56 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Numerical Approximation of the Magnetoquasistatic Model with Uncertainties
副標(biāo)題Applications in Magn
編輯Ulrich R?mer
視頻videohttp://file.papertrans.cn/669/668960/668960.mp4
概述Nominated as an outstanding PhD thesis by Technische Universit?t Darmstadt, Germany.Proposes a mathematical approach for quantifying uncertainties in magnetic fields.Includes relevant numerical exampl
叢書名稱Springer Theses
圖書封面Titlebook: Numerical Approximation of the Magnetoquasistatic Model with Uncertainties; Applications in Magn Ulrich R?mer Book 2016 The Editor(s) (if a
描述.This book presents a comprehensive mathematical approach for solving stochastic magnetic field problems. It discusses variability in material properties and geometry, with an emphasis on the preservation of structural physical and mathematical properties. It especially addresses uncertainties in the computer simulation of magnetic fields originating from the manufacturing process. Uncertainties are quantified by approximating a stochastic reformulation of the governing partial differential equation, demonstrating how statistics of physical quantities of interest, such as Fourier harmonics in accelerator magnets, can be used to achieve robust designs. The book covers a number of key methods and results such as: a stochastic model of the geometry and material properties of magnetic devices based on measurement data; a detailed description of numerical algorithms based on sensitivities or on a higher-order collocation; an analysis of convergence and efficiency; and the application of the developed model and algorithms to uncertainty quantification in the complex magnet systems used in particle accelerators...?.
出版日期Book 2016
關(guān)鍵詞Nonlinear Magnetoquasistatic Problem; Magnetoquasistatic Approximation; Uncertain Material Properties;
版次1
doihttps://doi.org/10.1007/978-3-319-41294-8
isbn_softcover978-3-319-82316-4
isbn_ebook978-3-319-41294-8Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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發(fā)表于 2025-3-21 23:57:58 | 只看該作者
Uncertainty Quantification,l be derived and techniques for their efficient approximation will be discussed and compared. To this end, the sensitivity analysis tools, derived in the previous chapter will be of central importance.
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發(fā)表于 2025-3-22 01:50:21 | 只看該作者
Book 2016on a higher-order collocation; an analysis of convergence and efficiency; and the application of the developed model and algorithms to uncertainty quantification in the complex magnet systems used in particle accelerators...?.
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Ulrich R?merNominated as an outstanding PhD thesis by Technische Universit?t Darmstadt, Germany.Proposes a mathematical approach for quantifying uncertainties in magnetic fields.Includes relevant numerical exampl
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978-3-319-82316-4The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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發(fā)表于 2025-3-22 23:23:33 | 只看該作者
Numerical Approximation of the Magnetoquasistatic Model with Uncertainties978-3-319-41294-8Series ISSN 2190-5053 Series E-ISSN 2190-5061
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