國立高雄大學圖資館 |

Language: English

Back

Quasi-interpolation

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quasi-interpolationMartin Buhmann, Janin Jäger.
Author:	Buhmann, Martin.
other author:	Jäger, Janin.
Published:	Cambridge :Cambridge University Press,2022.
Description:	xiii, 275 p. :ill., digital ;25 cm.
Notes:	Title from publisher's bibliographic system (viewed on 25 Feb 2022).
Subject:	Interpolation.
Online resource:	https://doi.org/10.1017/9781139680523
ISBN:	9781139680523$q(electronic bk.)

Quasi-interpolation
Buhmann, Martin.

Quasi-interpolation[electronic resource] /Martin Buhmann, Janin Jäger. - Cambridge :Cambridge University Press,2022. - xiii, 275 p. :ill., digital ;25 cm. - Cambridge monographs on applied and computational mathematics ;37. - Cambridge monographs on applied and computational mathematics ;27..

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$q(electronic bk.)Subjects--Topical Terms:

245439
Interpolation.

LC Class. No.: QA281 / .B94 2022

Dewey Class. No.: 511.422

Quasi-interpolation
LDR:01909nmm a2200253 a 4500 001 626753
003 UkCbUP
005 20220228165108.0
006 m d
007 cr nn 008maaau
008 230118s2022 enk o 1 0 eng d
020 $a 9781139680523$q(electronic bk.)
020 $a 9781107072633$q(hardback)
035 $a CR9781139680523
040 $a UkCbUP $b eng $c UkCbUP $d GP
050 0 0 $a QA281 $b .B94 2022
082 0 0 $a 511.422 $2 23
090 $a QA281 $b .B931 2022
100 1 $a Buhmann, Martin. $3 930419
245 1 0 $a Quasi-interpolation $h [electronic resource] / $c Martin Buhmann, Janin Jäger.
260 $a Cambridge : $b Cambridge University Press, $c 2022.
300 $a xiii, 275 p. : $b ill., digital ; $c 25 cm.
490 1 $a Cambridge monographs on applied and computational mathematics ; $v 37
500 $a Title from publisher's bibliographic system (viewed on 25 Feb 2022).
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.
650 0 $a Interpolation. $3 245439
700 1 $a Jäger, Janin. $3 930420
830 0 $a Cambridge monographs on applied and computational mathematics ; $v 27. $3 735612
856 4 0 $u https://doi.org/10.1017/9781139680523