ENGLISH

Quasi-Interpolation (Cambridge Monographs on Applied and Computational Mathematics, Series Number 37)

By Martin Buhmann , Janin Jäger

Book information

Publisher
Cambridge University Press
Year
2022
ISBN
1107072638, 9781107072633
Language
english
Format
PDF
Filesize
3 MB (2684368 bytes)
Edition
New
Pages
300\291
Time added
2022-07-08 06:54:03

Description

Quasi-interpolation is one of the most useful and often applied methods for the approximation of functions and data in mathematics and applications. Its advantages are manifold: quasi-interpolants are able to approximate in any number of dimensions, they are efficient and relatively easy to formulate for scattered and meshed nodes and for any number of data. This book provides an introduction into the field for graduate students and researchers, outlining all the mathematical background and methods of implementation. The mathematical analysis of quasi-interpolation is given in three directions, namely on the basis (spline spaces, radial basis functions) from which the approximation is taken, on the form and computation of the quasi-interpolants (point evaluations, averages, least squares), and on the mathematical properties (existence, locality, convergence questions, precision). Learn which type of quasi-interpolation to use in different contexts and how to optimise its features to suit applications in physics and engineering.

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