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Facets of Uncertainties and Applications

2015-05-11 Mathematics
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Release : 2015-05-11
Genre : Mathematics
Kind : eBook
Book Rating : 012/5 ( reviews)

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Book Synopsis Facets of Uncertainties and Applications by : Mihir K. Chakraborty

Download or read book Facets of Uncertainties and Applications written by Mihir K. Chakraborty. This book was released on 2015-05-11. Available in PDF, EPUB and Kindle. Book excerpt: Since the emergence of the formal concept of probability theory in the seventeenth century, uncertainty has been perceived solely in terms of probability theory. However, this apparently unique link between uncertainty and probability theory has come under investigation a few decades back. Uncertainties are nowadays accepted to be of various kinds. Uncertainty in general could refer to different sense like not certainly known, questionable, problematic, vague, not definite or determined, ambiguous, liable to change, not reliable. In Indian languages, particularly in Sanskrit-based languages, there are other higher levels of uncertainties. It has been shown that several mathematical concepts such as the theory of fuzzy sets, theory of rough sets, evidence theory, possibility theory, theory of complex systems and complex network, theory of fuzzy measures and uncertainty theory can also successfully model uncertainty.

Uncertainty in Engineering

2022
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Release : 2022
Genre :
Kind : eBook
Book Rating : 401/5 ( reviews)

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Book Synopsis Uncertainty in Engineering by : Louis J. M. Aslett

Download or read book Uncertainty in Engineering written by Louis J. M. Aslett. This book was released on 2022. Available in PDF, EPUB and Kindle. Book excerpt: This open access book provides an introduction to uncertainty quantification in engineering. Starting with preliminaries on Bayesian statistics and Monte Carlo methods, followed by material on imprecise probabilities, it then focuses on reliability theory and simulation methods for complex systems. The final two chapters discuss various aspects of aerospace engineering, considering stochastic model updating from an imprecise Bayesian perspective, and uncertainty quantification for aerospace flight modelling. Written by experts in the subject, and based on lectures given at the Second Training School of the European Research and Training Network UTOPIAE (Uncertainty Treatment and Optimization in Aerospace Engineering), which took place at Durham University (United Kingdom) from 2 to 6 July 2018, the book offers an essential resource for students as well as scientists and practitioners.

Special Issue: Facets of Uncertainty

2016
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Release : 2016
Genre :
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Book Synopsis Special Issue: Facets of Uncertainty by : Alin Carsteanu

Download or read book Special Issue: Facets of Uncertainty written by Alin Carsteanu. This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt:

Applications of Mathematics of Uncertainty

2021-11-17 Technology & Engineering
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Release : 2021-11-17
Genre : Technology & Engineering
Kind : eBook
Book Rating : 962/5 ( reviews)

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Book Synopsis Applications of Mathematics of Uncertainty by : John N. Mordeson

Download or read book Applications of Mathematics of Uncertainty written by John N. Mordeson. This book was released on 2021-11-17. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an examination of major problems facing the world using mathematics of uncertainty. These problems include climate change, coronavirus pandemic, human tracking, biodiversity, and other grand challenges. Mathematics of uncertainty is used in a modern more general sense than traditional mathematics. Since accurate data is impossible to obtain concerning human tracking and other global problems, mathematics of uncertainty is an ideal discipline to study these problems. The authors place several scientific studies into different mathematical settings such as nonstandard analysis and soft logic. Fuzzy differentiation is used to model the spread of diseases such as the coronavirus. The book uses fuzzy graph theory to examine the problems of human tracking and illegal immigration. The book is an excellent reference source for advanced under-graduate and graduate students in mathematics and the social sciences as well as for researchers and teachers.

Spectral Methods for Uncertainty Quantification

2010-03-11 Science
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Release : 2010-03-11
Genre : Science
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Book Rating : 206/5 ( reviews)

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Book Synopsis Spectral Methods for Uncertainty Quantification by : Olivier Le Maitre

Download or read book Spectral Methods for Uncertainty Quantification written by Olivier Le Maitre. This book was released on 2010-03-11. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the application of spectral methods to problems of uncertainty propagation and quanti?cation in model-based computations. It speci?cally focuses on computational and algorithmic features of these methods which are most useful in dealing with models based on partial differential equations, with special att- tion to models arising in simulations of ?uid ?ows. Implementations are illustrated through applications to elementary problems, as well as more elaborate examples selected from the authors’ interests in incompressible vortex-dominated ?ows and compressible ?ows at low Mach numbers. Spectral stochastic methods are probabilistic in nature, and are consequently rooted in the rich mathematical foundation associated with probability and measure spaces. Despite the authors’ fascination with this foundation, the discussion only - ludes to those theoretical aspects needed to set the stage for subsequent applications. The book is authored by practitioners, and is primarily intended for researchers or graduate students in computational mathematics, physics, or ?uid dynamics. The book assumes familiarity with elementary methods for the numerical solution of time-dependent, partial differential equations; prior experience with spectral me- ods is naturally helpful though not essential. Full appreciation of elaborate examples in computational ?uid dynamics (CFD) would require familiarity with key, and in some cases delicate, features of the associated numerical methods. Besides these shortcomings, our aim is to treat algorithmic and computational aspects of spectral stochastic methods with details suf?cient to address and reconstruct all but those highly elaborate examples.

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