Advances in Numerical Analysis Emphasizing Interval Data

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Release : 2022-02-17
Genre : Technology & Engineering
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Book Rating : 251/5 ( reviews)

Advances in Numerical Analysis Emphasizing Interval Data - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances in Numerical Analysis Emphasizing Interval Data write by Tofigh Allahviranloo. This book was released on 2022-02-17. Advances in Numerical Analysis Emphasizing Interval Data available in PDF, EPUB and Kindle. 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 Analysis for Applied Science

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Release : 2019-03-19
Genre : Mathematics
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Book Rating : 46X/5 ( reviews)

Numerical Analysis for Applied Science - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Analysis for Applied Science write by Myron B. Allen, III. This book was released on 2019-03-19. Numerical Analysis for Applied Science available in PDF, EPUB and Kindle. Pragmatic and Adaptable Textbook Meets the Needs of Students and Instructors from Diverse Fields Numerical analysis is a core subject in data science and an essential tool for applied mathematicians, engineers, and physical and biological scientists. This updated and expanded edition of Numerical Analysis for Applied Science follows the tradition of its precursor by providing a modern, flexible approach to the theory and practical applications of the field. As before, the authors emphasize the motivation, construction, and practical considerations before presenting rigorous theoretical analysis. This approach allows instructors to adapt the textbook to a spectrum of uses, ranging from one-semester, methods-oriented courses to multi-semester theoretical courses. The book includes an expanded first chapter reviewing useful tools from analysis and linear algebra. Subsequent chapters include clearly structured expositions covering the motivation, practical considerations, and theory for each class of methods. The book includes over 250 problems exploring practical and theoretical questions and 32 pseudocodes to help students implement the methods. Other notable features include: A preface providing advice for instructors on using the text for a single semester course or multiple-semester sequence of courses Discussion of topics covered infrequently by other texts at this level, such as multidimensional interpolation, quasi-Newton methods in several variables, multigrid methods, preconditioned conjugate-gradient methods, finite-difference methods for partial differential equations, and an introduction to finite-element theory New topics and expanded treatment of existing topics to address developments in the field since publication of the first edition More than twice as many computational and theoretical exercises as the first edition. Numerical Analysis for Applied Science, Second Edition provides an excellent foundation for graduate and advanced undergraduate courses in numerical methods and numerical analysis. It is also an accessible introduction to the subject for students pursuing independent study in applied mathematics, engineering, and the physical and life sciences and a valuable reference for professionals in these areas.

Advances in Numerical Analysis

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Release : 1991
Genre : Numerical analysis
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Book Rating : /5 ( reviews)

Advances in Numerical Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances in Numerical Analysis write by William Allan Light. This book was released on 1991. Advances in Numerical Analysis available in PDF, EPUB and Kindle.

Numerical Analysis: Historical Developments in the 20th Century

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Release : 2001-11-30
Genre : History
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Book Rating : 177/5 ( reviews)

Numerical Analysis: Historical Developments in the 20th Century - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Analysis: Historical Developments in the 20th Century write by C. Brezinski. This book was released on 2001-11-30. Numerical Analysis: Historical Developments in the 20th Century available in PDF, EPUB and Kindle. Numerical analysis has witnessed many significant developments in the 20th century. This book brings together 16 papers dealing with historical developments, survey papers and papers on recent trends in selected areas of numerical analysis, such as: approximation and interpolation, solution of linear systems and eigenvalue problems, iterative methods, quadrature rules, solution of ordinary-, partial- and integral equations. The papers are reprinted from the 7-volume project of the Journal of Computational and Applied Mathematics on '/homepage/sac/cam/na2000/index.htmlNumerical Analysis 2000'. An introductory survey paper deals with the history of the first courses on numerical analysis in several countries and with the landmarks in the development of important algorithms and concepts in the field.

Recent Trends in Numerical Analysis

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Release : 2000
Genre : Mathematics
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Book Rating : 856/5 ( reviews)

Recent Trends in Numerical Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Recent Trends in Numerical Analysis write by D. Trigiante. This book was released on 2000. Recent Trends in Numerical Analysis available in PDF, EPUB and Kindle. The contributions for this volume, dedicated to honour the 65th birthday of Professor I Galligani, have been numerous and cover a wide range of topics of the current Numerical Analysis and of its applications.