Asymptotic Approximations For Probability Integrals
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Asymptotic Approximations For Probability Integrals
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Author : Karl W. Breitung
language : en
Publisher: Springer
Release Date : 2006-11-14
Asymptotic Approximations For Probability Integrals written by Karl W. Breitung and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Technology & Engineering categories.
This book gives a self-contained introduction to the subject of asymptotic approximation for multivariate integrals for both mathematicians and applied scientists. A collection of results of the Laplace methods is given. Such methods are useful for example in reliability, statistics, theoretical physics and information theory. An important special case is the approximation of multidimensional normal integrals. Here the relation between the differential geometry of the boundary of the integration domain and the asymptotic probability content is derived. One of the most important applications of these methods is in structural reliability. Engineers working in this field will find here a complete outline of asymptotic approximation methods for failure probability integrals.
Asymptotic Approximations For Probability Integrals
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Author : Karl Wilhelm Breitung
language : en
Publisher: Springer Verlag
Release Date : 1994-01-01
Asymptotic Approximations For Probability Integrals written by Karl Wilhelm Breitung and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
This book gives a self-contained introduction to the subject of asymptotic approximation for multivariate integrals for both mathematicians and applied scientists. A collection of results of the Laplace methods is given. Such methods are useful for example in reliability, statistics, theoretical physics and information theory. An important special case is the approximation of multidimensional normal integrals. Here the relation between the differential geometry of the boundary of the integration domain and the asymptotic probability content is derived. One of the most important applications of these methods is in structural reliability. Engineers working in this field will find here a complete outline of asymptotic approximation methods for failure probability integrals.
Asymptotic Approximations For Probability Integrals
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Author : Karl Breitung
language : de
Publisher:
Release Date : 1989
Asymptotic Approximations For Probability Integrals written by Karl Breitung and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Probabilistic Methods For Structural Design
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Author : Carlos Guedes Soares
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Probabilistic Methods For Structural Design written by Carlos Guedes Soares and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
This book contains contributions from various authors on different important topics related with probabilistic methods used for the design of structures. Initially several of the papers were prepared for advanced courses on structural reliability or on probabilistic methods for structural design. These courses have been held in different countries and have been given by different groups of lecturers. They were aimed at engineers and researchers who already had some exposure to structural reliability methods and thus they presented overviews of the work in the various topics. The book includes a selection of those contributions, which can be of support for future courses or for engineers and researchers that want to have an update on specific topics. It is considered a complement to the existing textbooks on structural reliability, which normally ensure the coverage of the basic topics but then are not extensive enough to cover some more specialised aspects. In addition to the contributions drawn from those lectures there are several papers that have been prepared specifically for this book, aiming at complementing the others in providing an overall account of the recent advances in the field. It is with sadness that in the meanwhile we have seen the disappearance of two of the contributors to the book and, in fact two of the early contributors to this field.
Asymptotic Approximations Of Integrals
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Author : R. Wong
language : en
Publisher: SIAM
Release Date : 2001-01-01
Asymptotic Approximations Of Integrals written by R. Wong and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Mathematics categories.
Asymptotic methods are frequently used in many branches of both pure and applied mathematics, and this classic text remains the most up-to-date book dealing with one important aspect of this area, namely, asymptotic approximations of integrals. In Asymptotic Approximations of Integrals, all results are proved rigorously, and many of the approximation formulas are accompanied by error bounds. A thorough discussion on multidimensional integrals is given, and references are provided. The book contains the "distributional method," which is not available elsewhere. Most of the examples in this text come from concrete applications. Since its publication twelve years ago, significant developments have occurred in the general theory of asymptotic expansions, including smoothing of the Stokes phenomenon, uniform exponentially improved asymptotic expansions, and hyperasymptotics. These new concepts belong to the area now known as "exponential asymptotics." Expositions of these new theories are available in papers published in various journals, but not yet in book form. Audience: this book can be used either as a text for graduate students in mathematics, physics, and engineering or as a reference for research workers in these fields.
Structural Reliability Analysis And Prediction
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Author : Robert E. Melchers
language : en
Publisher: John Wiley & Sons
Release Date : 2018-04-02
Structural Reliability Analysis And Prediction written by Robert E. Melchers and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-02 with Technology & Engineering categories.
Structural Reliability Analysis and Prediction, Third Edition is a textbook which addresses the important issue of predicting the safety of structures at the design stage and also the safety of existing, perhaps deteriorating structures. Attention is focused on the development and definition of limit states such as serviceability and ultimate strength, the definition of failure and the various models which might be used to describe strength and loading. This book emphasises concepts and applications, built up from basic principles and avoids undue mathematical rigour. It presents an accessible and unified account of the theory and techniques for the analysis of the reliability of engineering structures using probability theory. This new edition has been updated to cover new developments and applications and a new chapter is included which covers structural optimization in the context of reliability analysis. New examples and end of chapter problems are also now included.
Stochastic Programming
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Author : Kurt Marti
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-14
Stochastic Programming written by Kurt Marti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-14 with Business & Economics categories.
In order to obtain more reliable optimal solutions of concrete technical/economic problems, e.g. optimal design problems, the often known stochastic variations of many technical/economic parameters have to be taken into account already in the planning phase. Hence, ordinary mathematical programs have to be replaced by appropriate stochastic programs. New theoretical insight into several branches of reliability-oriented optimization of stochastic systems, new computational approaches and technical/economic applications of stochastic programming methods can be found in this volume.
Reliability And Optimization Of Structural Systems
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Author : Daniel Straub
language : en
Publisher: CRC Press
Release Date : 2010-07-28
Reliability And Optimization Of Structural Systems written by Daniel Straub and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-28 with Technology & Engineering categories.
This volume contains 28 papers by renowned international experts on the latest advances in structural reliability methods and applications, engineering risk analysis and decision making, new optimization techniques and various applications in civil engineering. Moreover, several contributions focus on the assessment and optimization of existing str
Reliability And Optimization Of Structural Systems 90
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Author : A. Der Kiureghian
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Reliability And Optimization Of Structural Systems 90 written by A. Der Kiureghian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
This proceedings volume contains papers presented at the Third Scientific Meeting of the IFIP Working Group on "Reliabilty and Optimization of Structural Systems". The contributions reflect recent developments in the field of modern structural systems optimization and reliability theory and point out directions for further research. Also perspectives for the education in this field were discussed.
Recent Advances In Structural Engineering
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Author :
language : en
Publisher: Universities Press
Release Date : 2005-02
Recent Advances In Structural Engineering written by and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02 with Structural engineering categories.
This book contains state-of-the-art review articles on specific research areas in the civil engineering discipline-the areas include geotechnical engineering, hydraulics and water resources engineering, and structural engineering. The articles are written by invited authors who are currently active at the international level in their respective research fields.