Numerical analysis of wavelet methods:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Amsterdam ; Boston
Elsevier
2003
|
| Ausgabe: | 1st ed |
| Schriftenreihe: | Studies in mathematics and its applications
v. 32 |
| Schlagworte: | |
| Online-Zugang: | BFB01 BHS01 BSB01 BTU01 BTW01 DMM01 EUV01 FAN01 FAW01 FAW02 FCO01 FFW01 FHA01 FHD01 FHI01 FHM01 FHN01 FHR01 FKE01 FLA01 FWS01 FWS02 HTW01 HWR01 LCO01 SAB01 SAM01 SBG01 SBR01 SND01 TUM01 UBA01 UBG01 UBM01 UBR01 UBT01 UBW01 UBY01 UEI01 UER01 UPA01 Volltext |
| Beschreibung: | Includes bibliographical references (p. 321-333) and index Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations. One of their main attractive features is the ability to accurately represent fairly general functions with a small number of adaptively chosen wavelet coefficients, as well as to characterize the smoothness of such functions from the numerical behaviour of these coefficients. The theoretical pillar that underlies such properties involves approximation theory and function spaces, and plays a pivotal role in the analysis of wavelet-based numerical methods. This book offers a self-contained treatment of wavelets, which includes this theoretical pillar and it applications to the numerical treatment of partial differential equations. Its key features are:<P> 1. Self-contained introduction to wavelet bases and related numerical algorithms, from the simplest examples to the most numerically useful general constructions.<P> 2. Full treatment of the theoretical foundations that are crucial for the analysis of wavelets and other related multiscale methods : function spaces, linear and nonlinear approximation, interpolation theory.<P> 3. Applications of these concepts to the numerical treatment of partial differential equations : multilevel preconditioning, sparse approximations of differential and integral operators, adaptive discretization strategies |
| Beschreibung: | 1 Online-Ressource (xviii, 336 p.) ill 24 cm |
| ISBN: | 0444511245 9780444511249 |
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| 490 | 0 | |a Studies in mathematics and its applications |v v. 32 | |
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| 500 | |a Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations. One of their main attractive features is the ability to accurately represent fairly general functions with a small number of adaptively chosen wavelet coefficients, as well as to characterize the smoothness of such functions from the numerical behaviour of these coefficients. The theoretical pillar that underlies such properties involves approximation theory and function spaces, and plays a pivotal role in the analysis of wavelet-based numerical methods. This book offers a self-contained treatment of wavelets, which includes this theoretical pillar and it applications to the numerical treatment of partial differential equations. Its key features are:<P> 1. Self-contained introduction to wavelet bases and related numerical algorithms, from the simplest examples to the most numerically useful general constructions.<P> 2. Full treatment of the theoretical foundations that are crucial for the analysis of wavelets and other related multiscale methods : function spaces, linear and nonlinear approximation, interpolation theory.<P> 3. Applications of these concepts to the numerical treatment of partial differential equations : multilevel preconditioning, sparse approximations of differential and integral operators, adaptive discretization strategies | ||
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Datensatz im Suchindex
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| id | DE-604.BV036962329 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-01T11:42:56Z |
| institution | BVB |
| isbn | 0444511245 9780444511249 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020877198 |
| oclc_num | 162579284 |
| open_access_boolean | |
| owner | DE-526 DE-522 DE-523 DE-521 DE-634 DE-2070s DE-210 DE-155 DE-BY-UBR DE-150 DE-22 DE-BY-UBG DE-54 DE-128 DE-862 DE-BY-FWS DE-863 DE-BY-FWS DE-898 DE-BY-UBR DE-92 DE-M347 DE-859 DE-573 DE-1028 DE-858 DE-1050 DE-1102 DE-1047 DE-1046 DE-Aug4 DE-706 DE-20 DE-355 DE-BY-UBR DE-739 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-29 DE-824 DE-703 DE-473 DE-BY-UBG DE-384 DE-12 DE-860 DE-70 DE-B768 |
| owner_facet | DE-526 DE-522 DE-523 DE-521 DE-634 DE-2070s DE-210 DE-155 DE-BY-UBR DE-150 DE-22 DE-BY-UBG DE-54 DE-128 DE-862 DE-BY-FWS DE-863 DE-BY-FWS DE-898 DE-BY-UBR DE-92 DE-M347 DE-859 DE-573 DE-1028 DE-858 DE-1050 DE-1102 DE-1047 DE-1046 DE-Aug4 DE-706 DE-20 DE-355 DE-BY-UBR DE-739 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-29 DE-824 DE-703 DE-473 DE-BY-UBG DE-384 DE-12 DE-860 DE-70 DE-B768 |
| physical | 1 Online-Ressource (xviii, 336 p.) ill 24 cm |
| psigel | ZDB-1-ELC |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Elsevier |
| record_format | marc |
| series2 | Studies in mathematics and its applications |
| spellingShingle | Numerical analysis of wavelet methods Numerical analysis Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4215427-3 (DE-588)4128130-5 |
| title | Numerical analysis of wavelet methods |
| title_auth | Numerical analysis of wavelet methods |
| title_exact_search | Numerical analysis of wavelet methods |
| title_full | Numerical analysis of wavelet methods Albert Cohen |
| title_fullStr | Numerical analysis of wavelet methods Albert Cohen |
| title_full_unstemmed | Numerical analysis of wavelet methods Albert Cohen |
| title_short | Numerical analysis of wavelet methods |
| title_sort | numerical analysis of wavelet methods |
| topic | Numerical analysis Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Numerical analysis Wavelets (Mathematics) Wavelet Numerisches Verfahren |
| url | https://www.sciencedirect.com/science/book/9780444511249 |
| work_keys_str_mv | AT cohenalbert numericalanalysisofwaveletmethods |