Modeling and Inverse Problems in the Presence of Uncertainty

Modeling and Inverse Problems in the Presence of Uncertainty
Author :
Publisher : CRC Press
Total Pages : 408
Release :
ISBN-10 : 9781482206425
ISBN-13 : 1482206420
Rating : 4/5 (420 Downloads)

Book Synopsis Modeling and Inverse Problems in the Presence of Uncertainty by : H. T. Banks

Download or read book Modeling and Inverse Problems in the Presence of Uncertainty written by H. T. Banks and published by CRC Press. This book was released on 2014-04-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling and Inverse Problems in the Presence of Uncertainty collects recent research—including the authors’ own substantial projects—on uncertainty propagation and quantification. It covers two sources of uncertainty: where uncertainty is present primarily due to measurement errors and where uncertainty is present due to the modeling formulation itself. After a useful review of relevant probability and statistical concepts, the book summarizes mathematical and statistical aspects of inverse problem methodology, including ordinary, weighted, and generalized least-squares formulations. It then discusses asymptotic theories, bootstrapping, and issues related to the evaluation of correctness of assumed form of statistical models. The authors go on to present methods for evaluating and comparing the validity of appropriateness of a collection of models for describing a given data set, including statistically based model selection and comparison techniques. They also explore recent results on the estimation of probability distributions when they are embedded in complex mathematical models and only aggregate (not individual) data are available. In addition, they briefly discuss the optimal design of experiments in support of inverse problems for given models. The book concludes with a focus on uncertainty in model formulation itself, covering the general relationship of differential equations driven by white noise and the ones driven by colored noise in terms of their resulting probability density functions. It also deals with questions related to the appropriateness of discrete versus continuum models in transitions from small to large numbers of individuals. With many examples throughout addressing problems in physics, biology, and other areas, this book is intended for applied mathematicians interested in deterministic and/or stochastic models and their interactions. It is also suitable for scientists in biology, medicine, engineering, and physics working on basic modeling and inverse problems, uncertainty in modeling, propagation of uncertainty, and statistical modeling.


Modeling and Inverse Problems in the Presence of Uncertainty Related Books

Modeling and Inverse Problems in the Presence of Uncertainty
Language: en
Pages: 408
Authors: H. T. Banks
Categories: Mathematics
Type: BOOK - Published: 2014-04-01 - Publisher: CRC Press

GET EBOOK

Modeling and Inverse Problems in the Presence of Uncertainty collects recent research—including the authors’ own substantial projects—on uncertainty propa
Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems
Language: en
Pages: 442
Authors: Chakraverty, S.
Categories: Mathematics
Type: BOOK - Published: 2014-01-31 - Publisher: IGI Global

GET EBOOK

"This book provides the reader with basic concepts for soft computing and other methods for various means of uncertainty in handling solutions, analysis, and ap
Inverse Problems, Control and Modeling in the Presence of Uncertainty
Language: en
Pages: 42
Authors: Harvey Thomas Banks
Categories: Inverse problems (Differential equations)
Type: BOOK - Published: 2007 - Publisher:

GET EBOOK

We report progress on the development of methods in a number of specific areas of application including static, non-cooperative games related to counter- and co
Bayesian Approach to Inverse Problems
Language: en
Pages: 322
Authors: Jérôme Idier
Categories: Mathematics
Type: BOOK - Published: 2013-03-01 - Publisher: John Wiley & Sons

GET EBOOK

Many scientific, medical or engineering problems raise the issue of recovering some physical quantities from indirect measurements; for instance, detecting or q
A Taste of Inverse Problems
Language: en
Pages: 171
Authors: Martin Hanke
Categories: Mathematics
Type: BOOK - Published: 2017-01-01 - Publisher: SIAM

GET EBOOK

Inverse problems need to be solved in order to properly interpret indirect measurements. Often, inverse problems are ill-posed and sensitive to data errors. The