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Quasi-interpolation /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Quasi-interpolation // Martin Buhmann, Janin Jäger.
作者:	Buhmann, M. D.
其他作者:	Jäger, Janin,
面頁冊數:	1 online resource (xiii, 275 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 25 Feb 2022).
標題:	Interpolation. -
電子資源:	https://doi.org/10.1017/9781139680523
ISBN:	9781139680523 (ebook)

Quasi-interpolation /
Buhmann, M. D.1963-

Quasi-interpolation /Martin Buhmann, Janin Jäger. - 1 online resource (xiii, 275 pages) :digital, PDF file(s). - Cambridge monographs on applied and computational mathematics ;37. - Cambridge monographs on applied and computational mathematics ;16..

Title from publisher's bibliographic system (viewed on 25 Feb 2022).

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.

ISBN: 9781139680523 (ebook)Subjects--Topical Terms:

527704
Interpolation.

LC Class. No.: QA281 / .B94 2022

Dewey Class. No.: 511/.422

Quasi-interpolation /
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520 $a 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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