Author: Arvind Varma
Publisher: Cambridge University Press
ISBN: 9780521019842
Category : Technology & Engineering
Languages : en
Pages : 360
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Book Description
The behavior of a chemical system is affected by many physicochemical parameters. The sensitivity of the system's behavior to changes in parameters is known as parametric sensitivity. When a system operates in a parametrically sensitive region, its performance becomes unreliable and changes sharply with small variations in parameters. Thus, it is of great value to those who design and operate chemical systems to be able to analyze and predict their sensitivity behavior. This book is the first to provide a thorough treatment of the concept of parametric sensitivity and the mathematical tool it generated, sensitivity analysis. The emphasis is on applications to real situations. The book begins with definitions of various sensitivity indices and describes the numerical techniques most commonly used for their evaluation. Extensively illustrated chapters discuss sensitivity analysis in a variety of chemical reactors--batch, tubular, continuous-flow, fixed-bed--and in combustion systems, mechanistic studies, air pollution, and metabolic processes. Seniors and graduate students in various fields of science and engineering, researchers, and practicing engineers will welcome this valuable resource.
Author: Malamas Caracotsios
Publisher:
ISBN:
Category : Parameter estimation
Languages : en
Pages : 488
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Book Description
Author: Arvind Varma
Publisher: Cambridge University Press
ISBN: 0521621712
Category : Mathematics
Languages : en
Pages : 361
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Book Description
The behavior of a chemical system is affected by many physicochemical parameters. The sensitivity of the system's behavior to changes in parameters is known as parametric sensitivity. When a system operates in a parametrically sensitive region, its performance becomes unreliable and changes sharply with small variations in parameters. Thus, it would be of great value to predict sensitivity behavior in chemical systems. This book is the first to provide a thorough treatment of the concept of parametric sensitivity and the mathematical tool it generated, sensitivity analysis. The emphasis is on applications to real situations. The book begins with definitions of various sensitivity indices and describes the numerical techniques used for their evaluation. Extensively illustrated chapters discuss sensitivity analysis in a variety of chemical reactors - batch, tubular, continuous-flow, fixed-bed - and in combustion systems, air pollution, and metabolic processes. Chemical engineers, chemists, graduate students, and researchers will welcome this valuable resource.
Author: Jorge Raul Leis
Publisher:
ISBN:
Category :
Languages : en
Pages : 868
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Book Description
Author: Massimo Morbidelli
Publisher:
ISBN:
Category :
Languages : en
Pages : 496
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Book Description
Author: Massimo Morbidelli
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Roland Griesse
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Leigh Stamets
Publisher:
ISBN:
Category :
Languages : en
Pages : 426
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Book Description
Author: Roland Griesse
Publisher:
ISBN:
Category :
Languages : en
Pages : 194
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Book Description
Author: Ting Wang
Publisher:
ISBN:
Category :
Languages : en
Pages : 210
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Book Description
Reaction networks are systems consisting of several species interacting with each other through a set of predefined reaction channels.Models of real world reaction systems often contain several parameters which play a significant role in determining the system's dynamics. Therefore, parametric sensitivity analysis is an essential tool for the modeling and parameter estimation process. Due to the complex and random nature of the reaction systems, among all approaches for sensitivity analysis, Monte Carlo simulation is the most suitable for the parametric sensitivity analysis because its complexity does not grow dramatically as the problem dimension grows. Most Monte Carlo methods for sensitivity analysis can be classified into three categories, the pathwise derivative (PD), the finite difference (FD) and the Girsanov transformation (GT). Comparisons of these methods for specific examples have been done by many researchers, which showed that when applicable, the PD method and FD method tend to outperform the GT method. However, to the best of our knowledge, no existing literature studies these observations from a theoretical point of view. In this thesis, we provide a theoretical justification for these observations in terms of system size asymptotic analysis. We also examine our result by testing several numerical examples. Other than the analysis for the efficiency of these Monte Carlo estimators, we also provide some sufficient conditions which guarantee the validity of the GT method. Finally, for an ergodic system, there exists a steady state distribution and hence it is reasonable for us to consider the steady state sensitivity estimation problem. We establish an asymptotic correlation result and use this result to justify the ensemble-averaged correlation function method introduced in the literature.
