Spherical Harmonics and Approximations on the Unit Sphere: An Introduction
These 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...
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edizione: | 1st ed. 2012. |
| Serie: | Lecture Notes in Mathematics
2044 |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 252 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Spherical harmonics and approximations on the unit sphere, an introduction, Kendall Atkinson, Weimin Han, 2012, Heidelberg [etc.], Springer, 1 vol. (IX-244 p.), Lecture notes in mathematics, 978-3-642-25982-1 |
| LEADER | 03460nam a22005177a 4500 | ||
|---|---|---|---|
| 001 | 974224 | ||
| 008 | 120309q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN159086329 | ||
| 020 | |a 9783642259838 | ||
| 041 | 0 | |a eng | |
| 082 | |a 518 | ||
| 082 | |a 530 | ||
| 082 | |a 510 | ||
| 084 | |a 41A30. 2010 | ||
| 084 | |a 65N30. 2010 | ||
| 084 | |a 65R20. 2010 | ||
| 100 | 1 | |a Atkinson, Kendall, |d 1940- | |
| 245 | 1 | 0 | |a Spherical Harmonics and Approximations on the Unit Sphere: An Introduction |c by Kendall Atkinson, Weimin Han. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 2044 |x 1617-9692 | |
| 500 | |a L'impression du document génère 252 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 1 Preliminaries 2 Spherical Harmonics 3 Differentiation and Integration over the Sphere 4 Approximation Theory 5 Numerical Quadrature 6 Applications: Spectral Methods | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a These 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 | |a Analyse numérique | ||
| 650 | |a Harmoniques sphériques | ||
| 650 | |a Équations intégrales | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Fonctions spéciales | ||
| 650 | |a Approximation, Théorie de l' | ||
| 650 | |a Mathématiques | ||
| 650 | |a Physique | ||
| 700 | 1 | |a Han, Weimin, |d 1963-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 159211735 |t Spherical harmonics and approximations on the unit sphere |o an introduction |f Kendall Atkinson, Weimin Han |d 2012 |c Heidelberg [etc.] |n Springer |p 1 vol. (IX-244 p.) |s Lecture notes in mathematics |z 978-3-642-25982-1 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-25983-8 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-TMD87J2D-2 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750595930 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-25983-8 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753957167 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-25983-8 |z Accès INSA CVL | |
| 997 | |0 974224 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||