Advances in Numerical Analysis Emphasizing Interval Data (eBook)

Artikelnummer: 978-1-00-054025-3
Einband: PDF
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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 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.

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VerlagTaylor & Francis Ebooks
EinbandPDF
Erscheinungsjahr2022
Seitenangabe218 S.
AusgabekennzeichenEnglisch
Abbildungen9 schwarz-weiße Abbildungen, 9 schwarz-weiße Zeichnungen, 10 schwarz-weiße Tabellen
Auflage22001 A. 1. Auflage
PlattformPDF
AutorAllahviranloo, Tofigh / Pedrycz, Witold / Esfandiari, Armin

Über den Autor Tofigh Allahviranloo

Tofigh Allahviranloo is a full professor of applied mathematics at Istinye University, Turkey. As a trained mathematician and computer scientist, Prof. Allahviranloo has developed a passion for multi- and interdisciplinary research. He is not only deeply involved in fundamental research in fuzzy applied mathematics, especially fuzzy differential equations, but he also aims at innovative applications in the applied biological sciences. He is the author of several books and many papers published by Elsevier and Springer. He actively serves the research community, as Editor-in-Chief of the International J. of Industrial Mathematics, and Associate Editor or editorial board member of several other journals, including Information Sciences, Fuzzy Sets and Systems, Journal of Intelligent and Fuzzy Systems, Iranian J. of Fuzzy Systems and Mathematical Sciences.Sovan Samanta is an assistant professor in the Department of Mathematics, Tamralipta Mahavidyalaya, India and scientific advisor of Algebra Bernays University, Gradiscanska, Zagreb, Croatia. He is also a Visiting Professor at Instiya University, Turkey. Before that, he worked as an Assistant Professor in the Department of Basic Sciences at the Indian Institute of Information Technology, Nagpur. He holds a PhD in algebraic fuzzy graph theory from Vidyasagar University, India and a Post Doc in discrete mathematics from Hanyang University, South Korea. He has published over 87 papers in international journals, including 65 in SCIE/SCI journals. He has also authored and edited several books and book chapters, and serves as an Associate Editor for the Journal of Applied Mathematics and Computing, the Journal of Intelligent & Fuzzy Systems, and Mathematical Problems in Engineering.Prasenjit Mandal is a scientific advisor of Algebra Bernays University, Gradiscanska, Zagreb, Croatia. He earned his Bachelor of Science degree with honors in Mathematics from Vidyasagar University in Paschim Medinipur, West Bengal, and his Master of Science degree in Mathematics from Guru Ghasidas Central University. He holds a PhD from Vidyasagar University. He has published 17 papers in SCI/SCIE-indexed journals, three papers in SCOPUS-indexed journals, and 10 papers in UGC CARE-listed journals. Recently, he was included in the AD Scientific Index - World Scientists Rankings. His research interests encompass group decision-making, soft computing, applied soft computing, rough sets, fuzzy algebra, and social networking-based decision-making.Rupkumar Mahapatra is a scientific advisor of Algebra Bernays University, Gradiscanska, Zagreb, Croatia. He received his Bachelor of Science degree with honours in Mathematics from Vidyasagar University, Paschim Medinipur, West Bengal, India, and a Master of Science degree in Mathematics from Guru Ghasidas Central University. He holds a PhD from Vidyasagar University. Dr. Mahapatra has published 10 papers in SCI/ SCIE-indexed and one paper in SCOPUS-indexed journals. He is recently included in the list of AD Scientific Index- World Scientists Rankings. His research interests include Graph Theory, Fuzzy Graphs, and Social Networks.

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