Advances In Numerical Analysis Emphasizing Interval Data

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Advances In Numerical Analysis Emphasizing Interval Data
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Author : Tofigh Allahviranloo
language : en
Publisher: CRC Press
Release Date : 2022-02-17
Advances In Numerical Analysis Emphasizing Interval Data written by Tofigh Allahviranloo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-17 with Technology & Engineering categories.
Numerical analysis forms a cornerstone of numeric computing and optimization, in particular recently, interval numerical computations play an important role in these topics. The interest of researchers in computations involving uncertain data, namely interval data opens new avenues in coping with real-world problems and deliver innovative and efficient solutions. This book provides the basic theoretical foundations of numerical methods, discusses key technique classes, explains improvements and improvements, and provides insights into recent developments and challenges. The theoretical parts of numerical methods, including the concept of interval approximation theory, are introduced and explained in detail. In general, the key features of the book include an up-to-date and focused treatise on error analysis in calculations, in particular the comprehensive and systematic treatment of error propagation mechanisms, considerations on the quality of data involved in numerical calculations, and a thorough discussion of interval approximation theory. Moreover, this book focuses on approximation theory and its development from the perspective of linear algebra, and new and regular representations of numerical integration and their solutions are enhanced by error analysis as well. The book is unique in the sense that its content and organization will cater to several audiences, in particular graduate students, researchers, and practitioners.
Advances In Numerical Analysis Emphasizing Interval Data
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Author : Tofigh Allahviranloo
language : en
Publisher: CRC Press
Release Date : 2022-02-18
Advances In Numerical Analysis Emphasizing Interval Data written by Tofigh Allahviranloo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-18 with Technology & Engineering categories.
Numerical analysis forms a cornerstone of numeric computing and optimization, in particular recently, interval numerical computations play an important role in these topics. The interest of researchers in computations involving uncertain data, namely interval data opens new avenues in coping with real-world problems and deliver innovative and efficient solutions. This book provides the basic theoretical foundations of numerical methods, discusses key technique classes, explains improvements and improvements, and provides insights into recent developments and challenges. The theoretical parts of numerical methods, including the concept of interval approximation theory, are introduced and explained in detail. In general, the key features of the book include an up-to-date and focused treatise on error analysis in calculations, in particular the comprehensive and systematic treatment of error propagation mechanisms, considerations on the quality of data involved in numerical calculations, and a thorough discussion of interval approximation theory. Moreover, this book focuses on approximation theory and its development from the perspective of linear algebra, and new and regular representations of numerical integration and their solutions are enhanced by error analysis as well. The book is unique in the sense that its content and organization will cater to several audiences, in particular graduate students, researchers, and practitioners.
Numerical Matrix Analysis
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Author : Ilse C. F. Ipsen
language : en
Publisher: SIAM
Release Date : 2009-01-01
Numerical Matrix Analysis written by Ilse C. F. Ipsen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-01 with Mathematics categories.
The purpose of this book is to promote understanding of two phenomena: sensitivity of linear systems and least squares problems, and numerical stability of algorithms. Sensitivity and stability are analyzed as mathematical properties, without reference to finite precision arithmetic. The material is presented at a basic level, emphasizing ideas and intuition, but in a mathematically rigorous fashion. The derivations are simple and elegant, and the results are easy to understand and interpret. The book is self-contained. It was written for students in all areas of mathematics, engineering, and the computational sciences, but can easily be used for self-study. This text differs from other numerical linear algebra texts by offering the following: a systematic development of numerical conditioning; a simplified concept of numerical stability in exact arithmetic; simple derivations; a high-level view of algorithms; and results for complex matrices.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1992
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Aeronautics categories.
Understanding Advanced Statistical Methods
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Author : Peter Westfall
language : en
Publisher: CRC Press
Release Date : 2013-04-09
Understanding Advanced Statistical Methods written by Peter Westfall and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-09 with Mathematics categories.
Providing a much-needed bridge between elementary statistics courses and advanced research methods courses, Understanding Advanced Statistical Methods helps students grasp the fundamental assumptions and machinery behind sophisticated statistical topics, such as logistic regression, maximum likelihood, bootstrapping, nonparametrics, and Bayesian me
Recent Advances In Computational Sciences
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Author :
language : en
Publisher: World Scientific
Release Date : 2008
Recent Advances In Computational Sciences written by and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Computers categories.
This book presents state-of-the-art lectures delivered by international academic and industrial experts in the field of computational science and its education, covering a wide spectrum from theory to practice. Topics include new developments in finite element method (FEM), finite volume method and Spline theory, such as Moving Mesh Methods, Galerkin and Discontinuous Galerkin Schemes, Shape Gradient Methods, Mixed FEMs, Superconvergence techniques and Fourier spectral approximations with applications in multidimensional fluid dynamics; Maxwell equations in discrepancy media; and phase-field equations. It also discusses some interesting topics related to Stokes equations, Schrodinger equations, wavelet analysis and approximation theory. Contemporary teaching issues in curriculum reform also form an integral part of the book. This book will therefore be of significant interest and value to all graduates, research scientists and practitioners facing complex computational problems. Administrators and policymakers will find it is an addition to their mathematics curriculum reform libraries.
Advanced Mathematical And Computational Tools In Metrology V
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Author : Patrizia Ciarlini
language : en
Publisher: World Scientific
Release Date : 2001-03-09
Advanced Mathematical And Computational Tools In Metrology V written by Patrizia Ciarlini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-09 with Mathematics categories.
Advances in metrology depend on improvements in scientific and technical knowledge and in instrumentation quality, as well as on better use of advanced mathematical tools and development of new ones. In this volume, scientists from both the mathematical and the metrological fields exchange their experiences. Industrial sectors, such as instrumentation and software, will benefit from this exchange, since metrology has a high impact on the overall quality of industrial products, and applied mathematics is becoming more and more important in industrial processes.This book is of interest to people in universities, research centers and industries who are involved in measurements and need advanced mathematical tools to solve their problems, and also to those developing such mathematical tools.
Catalog
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Author : United States Naval Academy
language : en
Publisher:
Release Date : 1985
Catalog written by United States Naval Academy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Naval education categories.
Advanced Research Methodology
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Author : Dr. Rajib Mallik
language : en
Publisher: AG Publishing House
Release Date :
Advanced Research Methodology written by Dr. Rajib Mallik and has been published by AG Publishing House this book supported file pdf, txt, epub, kindle and other format this book has been release on with Study Aids categories.
The research process is a never-ending obstacle course for researchers. This is more difficult than ever before because of the rapid and sometimes contradictory ways in which modern cultures are evolving. Everyday life, including formal and informal connections and social trends are blurring international boundaries and growing more decoupled from offline "the truth." It's a step-by-step manual for doing research that addresses concerns like: Conceptualizing and defending the subject matter, Data gathering and analysis, having a thesis written and defended successfully, Budgeting and starting work on the project. In addition to theoretical background, it offers useful examples, recommendations, and exercises that might advance a project. Determining research problems, developing research ideas, obtaining funding for research, choosing research designs, seeking for literature and reviewing it, collecting data and analyzing it, preparing a thesis, composing research papers for publications, citing and listing citations, preparing visual materials, presenting at conferences both orally and visually, taking minutes at conferences, and dealing with ethical concerns in research are all covered. There are chapter-and book-related questions included at the conclusion of each one to help pupils get their heads around the material. Any helpful feedback on how to make this book better would be much appreciated.
Advances In Information And Communication
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Author : Kohei Arai
language : en
Publisher: Springer Nature
Release Date : 2021-04-15
Advances In Information And Communication written by Kohei Arai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-15 with Technology & Engineering categories.
This book aims to provide an international forum for scholarly researchers, practitioners and academic communities to explore the role of information and communication technologies and its applications in technical and scholarly development. The conference attracted a total of 464 submissions, of which 152 submissions (including 4 poster papers) have been selected after a double-blind review process. Academic pioneering researchers, scientists, industrial engineers and students will find this series useful to gain insight into the current research and next-generation information science and communication technologies. This book discusses the aspects of communication, data science, ambient intelligence, networking, computing, security and Internet of things, from classical to intelligent scope. The authors hope that readers find the volume interesting and valuable; it gathers chapters addressing tate-of-the-art intelligent methods and techniques for solving real-world problems along with a vision of the future research.