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.
