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Dynamics under Uncertainty

2021-09-08 Computers
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Release : 2021-09-08
Genre : Computers
Kind : eBook
Book Rating : 763/5 ( reviews)

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Book Synopsis Dynamics under Uncertainty by : Dragan Pamucar

Download or read book Dynamics under Uncertainty written by Dragan Pamucar . This book was released on 2021-09-08. Available in PDF, EPUB and Kindle. Book excerpt: The dynamics of systems have proven to be very powerful tools in understanding the behavior of different natural phenomena throughout the last two centuries. However, the attributes of natural systems are observed to deviate from their classical states due to the effect of different types of uncertainties. Actually, randomness and impreciseness are the two major sources of uncertainties in natural systems. Randomness is modeled by different stochastic processes and impreciseness could be modeled by fuzzy sets, rough sets, Dempster–Shafer theory, etc.

Dynamics Under Uncertainty: Modeling Simulation and Complexity

2021
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Release : 2021
Genre :
Kind : eBook
Book Rating : 755/5 ( reviews)

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Book Synopsis Dynamics Under Uncertainty: Modeling Simulation and Complexity by : Dragan Pamučar

Download or read book Dynamics Under Uncertainty: Modeling Simulation and Complexity written by Dragan Pamučar. This book was released on 2021. Available in PDF, EPUB and Kindle. Book excerpt: The dynamics of systems have proven to be very powerful tools in understanding the behavior of different natural phenomena throughout the last two centuries. However, the attributes of natural systems are observed to deviate from their classical states due to the effect of different types of uncertainties. Actually, randomness and impreciseness are the two major sources of uncertainties in natural systems. Randomness is modeled by different stochastic processes and impreciseness could be modeled by fuzzy sets, rough sets, Dempster-Shafer theory, etc.

Uncertainty Quantification in Computational Fluid Dynamics

2013-09-20 Mathematics
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Release : 2013-09-20
Genre : Mathematics
Kind : eBook
Book Rating : 854/5 ( reviews)

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Book Synopsis Uncertainty Quantification in Computational Fluid Dynamics by : Hester Bijl

Download or read book Uncertainty Quantification in Computational Fluid Dynamics written by Hester Bijl. This book was released on 2013-09-20. Available in PDF, EPUB and Kindle. Book excerpt: Fluid flows are characterized by uncertain inputs such as random initial data, material and flux coefficients, and boundary conditions. The current volume addresses the pertinent issue of efficiently computing the flow uncertainty, given this initial randomness. It collects seven original review articles that cover improved versions of the Monte Carlo method (the so-called multi-level Monte Carlo method (MLMC)), moment-based stochastic Galerkin methods and modified versions of the stochastic collocation methods that use adaptive stencil selection of the ENO-WENO type in both physical and stochastic space. The methods are also complemented by concrete applications such as flows around aerofoils and rockets, problems of aeroelasticity (fluid-structure interactions), and shallow water flows for propagating water waves. The wealth of numerical examples provide evidence on the suitability of each proposed method as well as comparisons of different approaches.

Government Ponzi Games and Debt Dynamics Under Uncertainty

1991-12-01 Business & Economics
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Release : 1991-12-01
Genre : Business & Economics
Kind : eBook
Book Rating : 862/5 ( reviews)

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Book Synopsis Government Ponzi Games and Debt Dynamics Under Uncertainty by : Mr.Carlo Cottarelli

Download or read book Government Ponzi Games and Debt Dynamics Under Uncertainty written by Mr.Carlo Cottarelli. This book was released on 1991-12-01. Available in PDF, EPUB and Kindle. Book excerpt: We investigate the conditions for sustainability of debt roll-over schemes under uncertainty. In contrast with the requirements identified in recent research, we show that a necessary and sufficient condition for sustainability of such schemes is that the asymptotic interest rate on government debt be lower than the asymptotic growth rate of the economy, a natural extension of a familiar criterion in a deterministic framework. However, we also show that for realistic parameter values, Ponzi games that are sustainable in the long run may display explosive patterns over relatively long horizons. This may explain why governments may be reluctant to play Ponzi games even when they are feasible in the long run.

Spectral Methods for Uncertainty Quantification

2010-03-11 Science
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Release : 2010-03-11
Genre : Science
Kind : eBook
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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