Numerical analysis of spectral methods: theory and applications
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
1977
|
| Schriftenreihe: | CBMS-NSF regional conference series in applied mathematics
26 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1137/1.9781611970425 https://doi.org/10.1137/1.9781611970425 https://doi.org/10.1137/1.9781611970425 https://doi.org/10.1137/1.9781611970425 https://doi.org/10.1137/1.9781611970425 |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references Spectral methods -- Survey of approximation theory -- Review of convergence theory -- Algebraic stability -- Spectral methods using Fourier series -- Applications of algebraic stability analysis -- Constant coefficient hyperbolic equations -- time differencing -- Efficient implementation of spectral methods -- Numerical results for hyperbolic problems -- Advection-diffusion equation -- Models of incompressible fluid dynamics -- Miscellaneous applications of spectral methods -- Survey of spectral methods and applications -- Properties of Chebyshev and Legendre polynomial expansions A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis |
| Umfang: | 1 Online-Ressource (v, 161 Seiten) |
| ISBN: | 0898710235 9780898710236 |
| DOI: | 10.1137/1.9781611970425 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV039747258 | ||
| 003 | DE-604 | ||
| 005 | 20210120 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 111207s1977 sz o|||| 00||| eng d | ||
| 010 | |a 78103429 | ||
| 020 | |a 0898710235 |c pbk. |9 0898710235 | ||
| 020 | |a 9780898710236 |c pbk. |9 9780898710236 | ||
| 024 | 7 | |a 10.1137/1.9781611970425 |2 doi | |
| 035 | |a (OCoLC)873886181 | ||
| 035 | |a (DE-599)BVBBV039747258 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a sz |c XA-CH | ||
| 049 | |a DE-91 |a DE-29 |a DE-706 |a DE-83 |a DE-20 | ||
| 084 | |a SI 196 |0 (DE-625)143099: |2 rvk | ||
| 084 | |a SK 920 |0 (DE-625)143272: |2 rvk | ||
| 100 | 1 | |a Gottlieb, David |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Numerical analysis of spectral methods |b theory and applications |c David Gottlieb and Steven A. Orszag |
| 264 | 1 | |a Philadelphia, Pa. |b Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |c 1977 | |
| 300 | |a 1 Online-Ressource (v, 161 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a CBMS-NSF regional conference series in applied mathematics |v 26 | |
| 500 | |a Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader | ||
| 500 | |a Includes bibliographical references | ||
| 500 | |a Spectral methods -- Survey of approximation theory -- Review of convergence theory -- Algebraic stability -- Spectral methods using Fourier series -- Applications of algebraic stability analysis -- Constant coefficient hyperbolic equations -- time differencing -- Efficient implementation of spectral methods -- Numerical results for hyperbolic problems -- Advection-diffusion equation -- Models of incompressible fluid dynamics -- Miscellaneous applications of spectral methods -- Survey of spectral methods and applications -- Properties of Chebyshev and Legendre polynomial expansions | ||
| 500 | |a A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis | ||
| 650 | 4 | |a Spectral theory (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 Spektralmethode |0 (DE-588)4224817-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Spektraltheorie |0 (DE-588)4116561-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Numerische Mathematik |0 (DE-588)4042805-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Energietechnik |0 (DE-588)4014725-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Spektraltheorie |0 (DE-588)4116561-5 |D s |
| 689 | 0 | 1 | |a Numerische Mathematik |0 (DE-588)4042805-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Energietechnik |0 (DE-588)4014725-3 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Spektraltheorie |0 (DE-588)4116561-5 |D s |
| 689 | 2 | 1 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 2 | 2 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
| 689 | 2 | |8 1\p |5 DE-604 | |
| 689 | 3 | 0 | |a Spektralmethode |0 (DE-588)4224817-6 |D s |
| 689 | 3 | |8 2\p |5 DE-604 | |
| 700 | 1 | |a Orszag, Steven A. |e Sonstige |0 (DE-588)1220297909 |4 oth | |
| 710 | 2 | |a Society for Industrial and Applied Mathematics |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe, Paperback |z 0898710235 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe, Paperback |z 9780898710236 |
| 830 | 0 | |a CBMS-NSF regional conference series in applied mathematics |v 26 |w (DE-604)BV046682627 |9 26 | |
| 856 | 4 | 0 | |u https://doi.org/10.1137/1.9781611970425 |x Verlag |3 Volltext |
| 912 | |a ZDB-72-SIA | ||
| 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 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-024594789 | |
| 966 | e | |u https://doi.org/10.1137/1.9781611970425 |l DE-91 |p ZDB-72-SIA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1137/1.9781611970425 |l DE-20 |p ZDB-72-SIA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1137/1.9781611970425 |l DE-706 |p ZDB-72-SIA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1137/1.9781611970425 |l DE-29 |p ZDB-72-SIA |x Verlag |3 Volltext | |
Datensatz im Suchindex
| DE-BY-TUM_katkey | 1805773 |
|---|---|
| _version_ | 1821933051846852608 |
| any_adam_object | |
| author | Gottlieb, David |
| author_GND | (DE-588)1220297909 |
| author_facet | Gottlieb, David |
| author_role | aut |
| author_sort | Gottlieb, David |
| author_variant | d g dg |
| building | Verbundindex |
| bvnumber | BV039747258 |
| classification_rvk | SI 196 SK 920 |
| collection | ZDB-72-SIA |
| ctrlnum | (OCoLC)873886181 (DE-599)BVBBV039747258 |
| discipline | Mathematik |
| doi_str_mv | 10.1137/1.9781611970425 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04345nam a2200769 cb4500</leader><controlfield tag="001">BV039747258</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210120 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">111207s1977 sz o|||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">78103429</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0898710235</subfield><subfield code="c">pbk.</subfield><subfield code="9">0898710235</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780898710236</subfield><subfield code="c">pbk.</subfield><subfield code="9">9780898710236</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1137/1.9781611970425</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)873886181</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV039747258</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">sz</subfield><subfield code="c">XA-CH</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-29</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 196</subfield><subfield code="0">(DE-625)143099:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 920</subfield><subfield code="0">(DE-625)143272:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Gottlieb, David</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 spectral methods</subfield><subfield code="b">theory and applications</subfield><subfield code="c">David Gottlieb and Steven A. Orszag</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Philadelphia, Pa.</subfield><subfield code="b">Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)</subfield><subfield code="c">1977</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (v, 161 Seiten)</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="1" ind2=" "><subfield code="a">CBMS-NSF regional conference series in applied mathematics</subfield><subfield code="v">26</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Spectral methods -- Survey of approximation theory -- Review of convergence theory -- Algebraic stability -- Spectral methods using Fourier series -- Applications of algebraic stability analysis -- Constant coefficient hyperbolic equations -- time differencing -- Efficient implementation of spectral methods -- Numerical results for hyperbolic problems -- Advection-diffusion equation -- Models of incompressible fluid dynamics -- Miscellaneous applications of spectral methods -- Survey of spectral methods and applications -- Properties of Chebyshev and Legendre polynomial expansions</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Spectral theory (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">Spektralmethode</subfield><subfield code="0">(DE-588)4224817-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Spektraltheorie</subfield><subfield code="0">(DE-588)4116561-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerische Mathematik</subfield><subfield code="0">(DE-588)4042805-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Energietechnik</subfield><subfield code="0">(DE-588)4014725-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Spektraltheorie</subfield><subfield code="0">(DE-588)4116561-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Numerische Mathematik</subfield><subfield code="0">(DE-588)4042805-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Energietechnik</subfield><subfield code="0">(DE-588)4014725-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Spektraltheorie</subfield><subfield code="0">(DE-588)4116561-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="2"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Spektralmethode</subfield><subfield code="0">(DE-588)4224817-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Orszag, Steven A.</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)1220297909</subfield><subfield code="4">oth</subfield></datafield><datafield tag="710" ind1="2" ind2=" "><subfield code="a">Society for Industrial and Applied Mathematics</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe, Paperback</subfield><subfield code="z">0898710235</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe, Paperback</subfield><subfield code="z">9780898710236</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">CBMS-NSF regional conference series in applied mathematics</subfield><subfield code="v">26</subfield><subfield code="w">(DE-604)BV046682627</subfield><subfield code="9">26</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1137/1.9781611970425</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-72-SIA</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><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-024594789</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1137/1.9781611970425</subfield><subfield code="l">DE-91</subfield><subfield code="p">ZDB-72-SIA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1137/1.9781611970425</subfield><subfield code="l">DE-20</subfield><subfield code="p">ZDB-72-SIA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1137/1.9781611970425</subfield><subfield code="l">DE-706</subfield><subfield code="p">ZDB-72-SIA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1137/1.9781611970425</subfield><subfield code="l">DE-29</subfield><subfield code="p">ZDB-72-SIA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV039747258 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T16:01:24Z |
| institution | BVB |
| isbn | 0898710235 9780898710236 |
| language | English |
| lccn | 78103429 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024594789 |
| oclc_num | 873886181 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-29 DE-706 DE-83 DE-20 |
| owner_facet | DE-91 DE-BY-TUM DE-29 DE-706 DE-83 DE-20 |
| physical | 1 Online-Ressource (v, 161 Seiten) |
| psigel | ZDB-72-SIA |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |
| record_format | marc |
| series | CBMS-NSF regional conference series in applied mathematics |
| series2 | CBMS-NSF regional conference series in applied mathematics |
| spellingShingle | Gottlieb, David Numerical analysis of spectral methods theory and applications CBMS-NSF regional conference series in applied mathematics Spectral theory (Mathematics) Numerical analysis Numerisches Verfahren (DE-588)4128130-5 gnd Spektralmethode (DE-588)4224817-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Spektraltheorie (DE-588)4116561-5 gnd Numerische Mathematik (DE-588)4042805-9 gnd Energietechnik (DE-588)4014725-3 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4224817-6 (DE-588)4044779-0 (DE-588)4116561-5 (DE-588)4042805-9 (DE-588)4014725-3 |
| title | Numerical analysis of spectral methods theory and applications |
| title_auth | Numerical analysis of spectral methods theory and applications |
| title_exact_search | Numerical analysis of spectral methods theory and applications |
| title_full | Numerical analysis of spectral methods theory and applications David Gottlieb and Steven A. Orszag |
| title_fullStr | Numerical analysis of spectral methods theory and applications David Gottlieb and Steven A. Orszag |
| title_full_unstemmed | Numerical analysis of spectral methods theory and applications David Gottlieb and Steven A. Orszag |
| title_short | Numerical analysis of spectral methods |
| title_sort | numerical analysis of spectral methods theory and applications |
| title_sub | theory and applications |
| topic | Spectral theory (Mathematics) Numerical analysis Numerisches Verfahren (DE-588)4128130-5 gnd Spektralmethode (DE-588)4224817-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Spektraltheorie (DE-588)4116561-5 gnd Numerische Mathematik (DE-588)4042805-9 gnd Energietechnik (DE-588)4014725-3 gnd |
| topic_facet | Spectral theory (Mathematics) Numerical analysis Numerisches Verfahren Spektralmethode Partielle Differentialgleichung Spektraltheorie Numerische Mathematik Energietechnik |
| url | https://doi.org/10.1137/1.9781611970425 |
| volume_link | (DE-604)BV046682627 |
| work_keys_str_mv | AT gottliebdavid numericalanalysisofspectralmethodstheoryandapplications AT orszagstevena numericalanalysisofspectralmethodstheoryandapplications AT societyforindustrialandappliedmathematics numericalanalysisofspectralmethodstheoryandapplications |