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001 978-3-642-25983-8
003 DE-He213
005 20190213151352.0
007 cr nn 008mamaa
008 120216s2012 gw | s |||| 0|eng d
020 _a9783642259838
_9978-3-642-25983-8
024 7 _a10.1007/978-3-642-25983-8
_2doi
050 4 _aQA297-299.4
072 7 _aPBKS
_2bicssc
072 7 _aMAT021000
_2bisacsh
072 7 _aPBKS
_2thema
082 0 4 _a518
_223
100 1 _aAtkinson, Kendall.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aSpherical Harmonics and Approximations on the Unit Sphere: An Introduction
_h[electronic resource] /
_cby Kendall Atkinson, Weimin Han.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2012.
300 _aIX, 244 p. 19 illus., 11 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2044
505 0 _a1 Preliminaries -- 2 Spherical Harmonics -- 3 Differentiation and Integration over the Sphere -- 4 Approximation Theory -- 5 Numerical Quadrature -- 6 Applications: Spectral Methods.
520 _aThese notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent results on some aspects of the approximation of functions by spherical polynomials and numerical integration over the unit sphere. The notes are intended for graduate students in the mathematical sciences and researchers who are interested in solving problems involving partial differential and integral equations on the unit sphere, especially on the unit sphere in three-dimensional Euclidean space. Some related work for approximation on the unit disk in the plane is also briefly discussed, with results being generalizable to the unit ball in more dimensions.
650 0 _aNumerical analysis.
650 0 _aFunctions, special.
650 0 _aMathematics.
650 0 _aIntegral equations.
650 0 _aDifferential equations, partial.
650 0 _aPhysics.
650 1 4 _aNumerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M14050
650 2 4 _aSpecial Functions.
_0http://scigraph.springernature.com/things/product-market-codes/M1221X
650 2 4 _aApproximations and Expansions.
_0http://scigraph.springernature.com/things/product-market-codes/M12023
650 2 4 _aIntegral Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12090
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aPhysics, general.
_0http://scigraph.springernature.com/things/product-market-codes/P00002
700 1 _aHan, Weimin.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642259821
776 0 8 _iPrinted edition:
_z9783642259845
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2044
856 4 0 _uhttps://doi.org/10.1007/978-3-642-25983-8
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c10437
_d10437