Advances in Numerical Analysis Emphasizing Interval Data

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 explained in detail.

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.

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.