Numerical analysis of wavelet methods:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier
2003
|
| Ausgabe: | 1st ed |
| Schriftenreihe: | Studies in mathematics and its applications
v. 32 |
| Schlagworte: | |
| Online-Zugang: | 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: 1. Self-contained introduction to wavelet bases and related numerical algorithms, from the simplest examples to the most numerically useful general constructions. 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. 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.) |
| ISBN: | 9780444511249 0444511245 9780080537856 0080537855 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042317336 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150129s2003 |||| o||u| ||||||eng d | ||
| 020 | |a 9780444511249 |9 978-0-444-51124-9 | ||
| 020 | |a 0444511245 |9 0-444-51124-5 | ||
| 020 | |a 9780080537856 |c electronic bk. |9 978-0-08-053785-6 | ||
| 020 | |a 0080537855 |c electronic bk. |9 0-08-053785-5 | ||
| 035 | |a (ZDB-33-EBS)ocn162579284 | ||
| 035 | |a (OCoLC)162579284 | ||
| 035 | |a (DE-599)BVBBV042317336 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-1046 | ||
| 082 | 0 | |a 515/.2433 |2 22 | |
| 100 | 1 | |a Cohen, Albert |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Numerical analysis of wavelet methods |c Albert Cohen |
| 250 | |a 1st ed | ||
| 264 | 1 | |a Amsterdam |b Elsevier |c 2003 | |
| 300 | |a 1 Online-Ressource (xviii, 336 p.) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Studies in mathematics and its applications |v v. 32 | |
| 500 | |a Includes bibliographical references (p. 321-333) and index | ||
| 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: 1. Self-contained introduction to wavelet bases and related numerical algorithms, from the simplest examples to the most numerically useful general constructions. 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. 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 | ||
| 650 | 7 | |a MATHEMATICS / Infinity |2 bisacsh | |
| 650 | 7 | |a Numerical analysis |2 fast | |
| 650 | 7 | |a Wavelets (Mathematics) |2 fast | |
| 650 | 4 | |a Wavelets (Mathematics) | |
| 650 | 4 | |a Numerical analysis | |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wavelet |0 (DE-588)4215427-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Wavelet |0 (DE-588)4215427-3 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 856 | 4 | 0 | |u http://www.sciencedirect.com/science/book/9780444511249 |x Verlag |3 Volltext |
| 912 | |a ZDB-33-ESD |a ZDB-33-EBS | ||
| 940 | 1 | |q FAW_PDA_ESD | |
| 940 | 1 | |q FLA_PDA_ESD | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027754326 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804152913656807424 |
|---|---|
| any_adam_object | |
| author | Cohen, Albert |
| author_facet | Cohen, Albert |
| author_role | aut |
| author_sort | Cohen, Albert |
| author_variant | a c ac |
| building | Verbundindex |
| bvnumber | BV042317336 |
| collection | ZDB-33-ESD ZDB-33-EBS |
| ctrlnum | (ZDB-33-EBS)ocn162579284 (OCoLC)162579284 (DE-599)BVBBV042317336 |
| dewey-full | 515/.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.2433 |
| dewey-search | 515/.2433 |
| dewey-sort | 3515 42433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1st ed |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03486nmm a2200565zcb4500</leader><controlfield tag="001">BV042317336</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150129s2003 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780444511249</subfield><subfield code="9">978-0-444-51124-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0444511245</subfield><subfield code="9">0-444-51124-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780080537856</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-0-08-053785-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0080537855</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">0-08-053785-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-33-EBS)ocn162579284</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)162579284</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042317336</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1046</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.2433</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cohen, Albert</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Numerical analysis of wavelet methods</subfield><subfield code="c">Albert Cohen</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1st ed</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Amsterdam</subfield><subfield code="b">Elsevier</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xviii, 336 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Studies in mathematics and its applications</subfield><subfield code="v">v. 32</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (p. 321-333) and index</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="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: 1. Self-contained introduction to wavelet bases and related numerical algorithms, from the simplest examples to the most numerically useful general constructions. 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. 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</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Infinity</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Numerical analysis</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Wavelets (Mathematics)</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wavelets (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Numerical analysis</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wavelet</subfield><subfield code="0">(DE-588)4215427-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Wavelet</subfield><subfield code="0">(DE-588)4215427-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.sciencedirect.com/science/book/9780444511249</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-33-ESD</subfield><subfield code="a">ZDB-33-EBS</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FAW_PDA_ESD</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FLA_PDA_ESD</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027754326</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042317336 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780444511249 0444511245 9780080537856 0080537855 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027754326 |
| oclc_num | 162579284 |
| open_access_boolean | |
| owner | DE-1046 |
| owner_facet | DE-1046 |
| physical | 1 Online-Ressource (xviii, 336 p.) |
| psigel | ZDB-33-ESD ZDB-33-EBS FAW_PDA_ESD FLA_PDA_ESD |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Elsevier |
| record_format | marc |
| series2 | Studies in mathematics and its applications |
| spelling | Cohen, Albert Verfasser aut Numerical analysis of wavelet methods Albert Cohen 1st ed Amsterdam Elsevier 2003 1 Online-Ressource (xviii, 336 p.) txt rdacontent c rdamedia cr rdacarrier Studies in mathematics and its applications v. 32 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: 1. Self-contained introduction to wavelet bases and related numerical algorithms, from the simplest examples to the most numerically useful general constructions. 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. 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 MATHEMATICS / Infinity bisacsh Numerical analysis fast Wavelets (Mathematics) fast Wavelets (Mathematics) Numerical analysis Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Wavelet (DE-588)4215427-3 s 2\p DE-604 http://www.sciencedirect.com/science/book/9780444511249 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cohen, Albert Numerical analysis of wavelet methods MATHEMATICS / Infinity bisacsh Numerical analysis fast Wavelets (Mathematics) fast Wavelets (Mathematics) Numerical analysis Numerisches Verfahren (DE-588)4128130-5 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4215427-3 |
| 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 | MATHEMATICS / Infinity bisacsh Numerical analysis fast Wavelets (Mathematics) fast Wavelets (Mathematics) Numerical analysis Numerisches Verfahren (DE-588)4128130-5 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | MATHEMATICS / Infinity Numerical analysis Wavelets (Mathematics) Numerisches Verfahren Wavelet |
| url | http://www.sciencedirect.com/science/book/9780444511249 |
| work_keys_str_mv | AT cohenalbert numericalanalysisofwaveletmethods |