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000756615 020__ $$a9783319412948$$q(electronic book)
000756615 020__ $$a3319412949$$q(electronic book)
000756615 020__ $$z9783319412931
000756615 035__ $$aSP(OCoLC)ocn954214874
000756615 035__ $$aSP(OCoLC)954214874
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000756615 049__ $$aISEA
000756615 050_4 $$aQA221
000756615 08204 $$a511/.4$$223
000756615 1001_ $$aRömer, Ulrich,$$eauthor.
000756615 24510 $$aNumerical approximation of the magnetoquasistatic model with uncertainties$$h[electronic resource] :$$bapplications in magnet design /$$cUlrich Römer.
000756615 264_1 $$aSwitzerland :$$bSpringer,$$c2016.
000756615 300__ $$a1 online resource (xxii, 114 pages) :$$billustrations.
000756615 336__ $$atext$$btxt$$2rdacontent
000756615 337__ $$acomputer$$bc$$2rdamedia
000756615 338__ $$aonline resource$$bcr$$2rdacarrier
000756615 4901_ $$aSpringer theses
000756615 500__ $$a"Doctoral thesis accepted by Technische Universität Darmstadt, Germany."
000756615 504__ $$aIncludes bibliographical references.
000756615 5050_ $$aIntroduction -- Magnetoquasistatic Approximation of Maxwell's Equations, Uncertainty Quantification Principles -- Magnetoquasistatic Model and its Numerical Approximation -- Parametric Model, Continuity and First Order Sensitivity Analysis -- Uncertainty Quantification -- Uncertainty Quantification for Magnets -- Conclusion and Outlook.
000756615 506__ $$aAccess limited to authorized users.
000756615 520__ $$aThis book presents a comprehensive mathematical approach for solving stochastic magnetic field problems. It discusses variability in material properties and geometry, with an emphasis on the preservation of structural physical and mathematical properties. It especially addresses uncertainties in the computer simulation of magnetic fields originating from the manufacturing process. Uncertainties are quantified by approximating a stochastic reformulation of the governing partial differential equation, demonstrating how statistics of physical quantities of interest, such as Fourier harmonics in accelerator magnets, can be used to achieve robust designs. The book covers a number of key methods and results such as: a stochastic model of the geometry and material properties of magnetic devices based on measurement data; a detailed description of numerical algorithms based on sensitivities or on a higher-order collocation; an analysis of convergence and efficiency; and the application of the developed model and algorithms to uncertainty quantification in the complex magnet systems used in particle accelerators. .
000756615 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed August 4, 2016).
000756615 650_0 $$aApproximation theory.
000756615 650_0 $$aMeasurement uncertainty (Statistics)
000756615 830_0 $$aSpringer theses.
000756615 852__ $$bebk
000756615 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-41294-8$$zOnline Access$$91397441.1
000756615 909CO $$ooai:library.usi.edu:756615$$pGLOBAL_SET
000756615 980__ $$aEBOOK
000756615 980__ $$aBIB
000756615 982__ $$aEbook
000756615 983__ $$aOnline
000756615 994__ $$a92$$bISE