Advances in Numerical Analysis Emphasizing Interval Data

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Tofigh Allahviranloo (Istinye Uni, Turkey.) Witold Pedrycz (University of Alberta, Canada.)

Advances in Numerical Analysis Emphasizing Interval Data

Tofigh Allahviranloo (Istinye Uni, Turkey.), Witold Pedrycz (University of Alberta, Canada.), Armin Esfandiari (Bahcesehir Uni, Turkey.)

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English

CRC Press
18 February 2022

Applied mathematics; Maths for engineers; Computing: general

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.

By: Tofigh Allahviranloo (Istinye Uni Turkey.), Witold Pedrycz (University of Alberta, Canada.), Armin Esfandiari (Bahcesehir Uni, Turkey.)
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 439g
ISBN: 9781032110431
ISBN 10: 1032110430
Pages: 204
Publication Date: 18 February 2022
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Hardback
Publisher's Status: Active

1. About the Book. 2. Error Analysis. 3. Interpolation. 4. Advanced Interpolation. 5. Interval Interpolation. 6. Interpolation from the Linear Algebra Point of View. 7. Newton-Cotes Quadrature. 8. Interval Newton-Cotes Quadrature. 9. Gauss Integration.

Tofigh Allahviranloo is a Full Professor of applied mathematics at Istinye University, Turkey. Witold Pedrycz (IEEE Fellow, 1998) is Professor and Canada Research Chair (CRC) in Computational Intelligence in the Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada. Armin Esfandiari is a PhD candidate ad researcher in Bahcesehir University, Turkey.