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.
General
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