Advances in numerical analysis emphasizing interval data / Tofigh Allahviranloo, Witold Pedrycz, and Armin Esfandiari.

Format:

Book

Author/Creator:

Allahviranloo, Tofigh, author.

Pedrycz, Witold, 1953- author.

Esfandiari, Armin, author.

Language:

English

Subjects (All):

Numerical analysis.

Physical Description:

1 online resource (219 pages)

Edition:

First edition.

Place of Publication:

Boca Raton, Florida ; Abingdon, Oxon : CRC Press, [2022]

Biography/History:

Tofigh Allahviranloo is a Full Professor of applied mathematics at Bahcesehir 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.

Summary:

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.

Contents:

1. Introduction. 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.

Notes:

Description based on print version record.

Includes index.

ISBN:

9781003218173

1003218172

9781000540253

1000540251

9781000540314

1000540316

OCLC:

1290486450