Format:
1 online resource (xiii, 275 pages)
,
digital, PDF file(s).
ISBN:
9781139680523
,
9781107072633
Series Statement:
Cambridge monographs on applied and computational mathematics 37
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 25 Feb 2022)
Additional Edition:
ISBN 9781107072633
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9781107072633
Additional Edition:
Erscheint auch als Druck-Ausgabe Buhmann, Martin, 1963 - Quasi-interpolation Cambridge, United Kingdom : Cambridge University Press, 2022 ISBN 9781107072633
Language:
English
Subjects:
Mathematics
Keywords:
Scattered-Data-Interpolation
;
Mehrdimensionale Interpolation
;
Spline-Interpolation
;
Glättung
;
Radiale Basisfunktion
;
Lagrange-Funktion
;
Wavelet
DOI:
10.1017/9781139680523
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