Quasi-Interpolation

Quasi-interpolation is a method for approximating functions and data that is widely used in mathematics and applications. This book provides an introduction to the field for graduate students and researchers, outlining the mathematical background and methods of implementation. It covers spline spaces, radial basis functions, point evaluations, averages, least squares, and mathematical properties.

Format: Hardback
Length: 300 pages
Publication date: 03 March 2022
Publisher: Cambridge University Press

Quasi-interpolation is a highly valuable and frequently employed technique in mathematics and applications for approximating functions and data. Its numerous advantages include the ability to handle approximation in any number of dimensions, efficiency in dealing with scattered and meshed nodes, and versatility in accommodating various data quantities. This comprehensive book serves as an introduction to the field for graduate students and researchers, providing a thorough overview of the necessary mathematical background and implementation methods. The mathematical analysis of quasi-interpolation is presented in three key directions: the spline spaces and radial basis functions from which the approximation is derived, the formulation and computation of quasi-interpolants (point evaluations, averages, least squares), and the examination of mathematical properties such as existence, locality, convergence, and precision. By understanding the appropriate type of quasi-interpolation to employ in different contexts and how to optimize its features for specific applications in physics and engineering, readers can enhance their understanding and utilization of this powerful technique.

Weight: 666g
Dimension: 251 x 175 x 24 (mm)
ISBN-13: 9781107072633
Edition number: New ed