Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion and Flow Problems
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1996
|
| Schriftenreihe: | Springer Series in Computational Mathematics
24 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book collects, explains and analyses basic methods and recent results for the successful numerical solution of singularly perturbed differential equations. Such equations model many physical phenomena and their solutions are characterized by the presence of layers. The book is a wide-ranging introduction to the exciting current literature in this area. It concentrates on linear convection-diffusion equations and related nonlinear flow problems, encompassing both ordinary and partial differential equations. While many numerical methods are considered, particular attention is paid to those with realistic error estimates. The book provides a solid and thorough foundation for the numerical analysis and solution of singular perturbation problems |
| Beschreibung: | 1 Online-Ressource (XVI, 352 p) |
| ISBN: | 9783662032060 9783662032084 |
| ISSN: | 0179-3632 |
| DOI: | 10.1007/978-3-662-03206-0 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042423244 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1996 |||| o||u| ||||||eng d | ||
| 020 | |a 9783662032060 |c Online |9 978-3-662-03206-0 | ||
| 020 | |a 9783662032084 |c Print |9 978-3-662-03208-4 | ||
| 024 | 7 | |a 10.1007/978-3-662-03206-0 |2 doi | |
| 035 | |a (OCoLC)1184496650 | ||
| 035 | |a (DE-599)BVBBV042423244 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 518 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Roos, Hans-Görg |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Numerical Methods for Singularly Perturbed Differential Equations |b Convection-Diffusion and Flow Problems |c by Hans-Görg Roos, Martin Stynes, Lutz Tobiska |
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1996 | |
| 300 | |a 1 Online-Ressource (XVI, 352 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Springer Series in Computational Mathematics |v 24 |x 0179-3632 | |
| 500 | |a This book collects, explains and analyses basic methods and recent results for the successful numerical solution of singularly perturbed differential equations. Such equations model many physical phenomena and their solutions are characterized by the presence of layers. The book is a wide-ranging introduction to the exciting current literature in this area. It concentrates on linear convection-diffusion equations and related nonlinear flow problems, encompassing both ordinary and partial differential equations. While many numerical methods are considered, particular attention is paid to those with realistic error estimates. The book provides a solid and thorough foundation for the numerical analysis and solution of singular perturbation problems | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Chemistry | |
| 650 | 4 | |a Numerical analysis | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a Statistics | |
| 650 | 4 | |a Engineering mathematics | |
| 650 | 4 | |a Numerical Analysis | |
| 650 | 4 | |a Appl.Mathematics/Computational Methods of Engineering | |
| 650 | 4 | |a Mathematical and Computational Biology | |
| 650 | 4 | |a Statistics for Life Sciences, Medicine, Health Sciences | |
| 650 | 4 | |a Theoretical and Computational Chemistry | |
| 650 | 4 | |a Mathematical Methods in Physics | |
| 650 | 4 | |a Chemie | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Statistik | |
| 650 | 0 | 7 | |a Singuläre Störung |0 (DE-588)4055100-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Störungstheorie |0 (DE-588)4128420-3 |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 Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialgleichung |0 (DE-588)4012249-9 |D s |
| 689 | 0 | 1 | |a Singuläre Störung |0 (DE-588)4055100-3 |D s |
| 689 | 0 | 2 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Differentialgleichung |0 (DE-588)4012249-9 |D s |
| 689 | 1 | 1 | |a Numerische Mathematik |0 (DE-588)4042805-9 |D s |
| 689 | 1 | 2 | |a Störungstheorie |0 (DE-588)4128420-3 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 700 | 1 | |a Stynes, Martin |e Sonstige |4 oth | |
| 700 | 1 | |a Tobiska, Lutz |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-662-03206-0 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027858661 | ||
| 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_ | 1804153098744102912 |
|---|---|
| any_adam_object | |
| author | Roos, Hans-Görg |
| author_facet | Roos, Hans-Görg |
| author_role | aut |
| author_sort | Roos, Hans-Görg |
| author_variant | h g r hgr |
| building | Verbundindex |
| bvnumber | BV042423244 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184496650 (DE-599)BVBBV042423244 |
| dewey-full | 518 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518 |
| dewey-search | 518 |
| dewey-sort | 3518 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-03206-0 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03708nmm a2200757zcb4500</leader><controlfield tag="001">BV042423244</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1996 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783662032060</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-662-03206-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783662032084</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-662-03208-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-662-03206-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1184496650</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042423244</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-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">518</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Roos, Hans-Görg</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Numerical Methods for Singularly Perturbed Differential Equations</subfield><subfield code="b">Convection-Diffusion and Flow Problems</subfield><subfield code="c">by Hans-Görg Roos, Martin Stynes, Lutz Tobiska</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, Heidelberg</subfield><subfield code="b">Springer Berlin Heidelberg</subfield><subfield code="c">1996</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XVI, 352 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">Springer Series in Computational Mathematics</subfield><subfield code="v">24</subfield><subfield code="x">0179-3632</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This book collects, explains and analyses basic methods and recent results for the successful numerical solution of singularly perturbed differential equations. Such equations model many physical phenomena and their solutions are characterized by the presence of layers. The book is a wide-ranging introduction to the exciting current literature in this area. It concentrates on linear convection-diffusion equations and related nonlinear flow problems, encompassing both ordinary and partial differential equations. While many numerical methods are considered, particular attention is paid to those with realistic error estimates. The book provides a solid and thorough foundation for the numerical analysis and solution of singular perturbation problems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Chemistry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Numerical analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Numerical Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Appl.Mathematics/Computational Methods of Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical and Computational Biology</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistics for Life Sciences, Medicine, Health Sciences</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Theoretical and Computational Chemistry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical Methods in Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Chemie</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematische Physik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Singuläre Störung</subfield><subfield code="0">(DE-588)4055100-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Störungstheorie</subfield><subfield code="0">(DE-588)4128420-3</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">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">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Singuläre Störung</subfield><subfield code="0">(DE-588)4055100-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" 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="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">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" 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="1" ind2="2"><subfield code="a">Störungstheorie</subfield><subfield code="0">(DE-588)4128420-3</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="700" ind1="1" ind2=" "><subfield code="a">Stynes, Martin</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Tobiska, Lutz</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-662-03206-0</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027858661</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.BV042423244 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662032060 9783662032084 |
| issn | 0179-3632 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858661 |
| oclc_num | 1184496650 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XVI, 352 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Springer Series in Computational Mathematics |
| spelling | Roos, Hans-Görg Verfasser aut Numerical Methods for Singularly Perturbed Differential Equations Convection-Diffusion and Flow Problems by Hans-Görg Roos, Martin Stynes, Lutz Tobiska Berlin, Heidelberg Springer Berlin Heidelberg 1996 1 Online-Ressource (XVI, 352 p) txt rdacontent c rdamedia cr rdacarrier Springer Series in Computational Mathematics 24 0179-3632 This book collects, explains and analyses basic methods and recent results for the successful numerical solution of singularly perturbed differential equations. Such equations model many physical phenomena and their solutions are characterized by the presence of layers. The book is a wide-ranging introduction to the exciting current literature in this area. It concentrates on linear convection-diffusion equations and related nonlinear flow problems, encompassing both ordinary and partial differential equations. While many numerical methods are considered, particular attention is paid to those with realistic error estimates. The book provides a solid and thorough foundation for the numerical analysis and solution of singular perturbation problems Mathematics Chemistry Numerical analysis Mathematical physics Statistics Engineering mathematics Numerical Analysis Appl.Mathematics/Computational Methods of Engineering Mathematical and Computational Biology Statistics for Life Sciences, Medicine, Health Sciences Theoretical and Computational Chemistry Mathematical Methods in Physics Chemie Mathematik Mathematische Physik Statistik Singuläre Störung (DE-588)4055100-3 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Singuläre Störung (DE-588)4055100-3 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Numerische Mathematik (DE-588)4042805-9 s Störungstheorie (DE-588)4128420-3 s 2\p DE-604 Stynes, Martin Sonstige oth Tobiska, Lutz Sonstige oth https://doi.org/10.1007/978-3-662-03206-0 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 | Roos, Hans-Görg Numerical Methods for Singularly Perturbed Differential Equations Convection-Diffusion and Flow Problems Mathematics Chemistry Numerical analysis Mathematical physics Statistics Engineering mathematics Numerical Analysis Appl.Mathematics/Computational Methods of Engineering Mathematical and Computational Biology Statistics for Life Sciences, Medicine, Health Sciences Theoretical and Computational Chemistry Mathematical Methods in Physics Chemie Mathematik Mathematische Physik Statistik Singuläre Störung (DE-588)4055100-3 gnd Störungstheorie (DE-588)4128420-3 gnd Numerische Mathematik (DE-588)4042805-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4055100-3 (DE-588)4128420-3 (DE-588)4042805-9 (DE-588)4128130-5 (DE-588)4012249-9 |
| title | Numerical Methods for Singularly Perturbed Differential Equations Convection-Diffusion and Flow Problems |
| title_auth | Numerical Methods for Singularly Perturbed Differential Equations Convection-Diffusion and Flow Problems |
| title_exact_search | Numerical Methods for Singularly Perturbed Differential Equations Convection-Diffusion and Flow Problems |
| title_full | Numerical Methods for Singularly Perturbed Differential Equations Convection-Diffusion and Flow Problems by Hans-Görg Roos, Martin Stynes, Lutz Tobiska |
| title_fullStr | Numerical Methods for Singularly Perturbed Differential Equations Convection-Diffusion and Flow Problems by Hans-Görg Roos, Martin Stynes, Lutz Tobiska |
| title_full_unstemmed | Numerical Methods for Singularly Perturbed Differential Equations Convection-Diffusion and Flow Problems by Hans-Görg Roos, Martin Stynes, Lutz Tobiska |
| title_short | Numerical Methods for Singularly Perturbed Differential Equations |
| title_sort | numerical methods for singularly perturbed differential equations convection diffusion and flow problems |
| title_sub | Convection-Diffusion and Flow Problems |
| topic | Mathematics Chemistry Numerical analysis Mathematical physics Statistics Engineering mathematics Numerical Analysis Appl.Mathematics/Computational Methods of Engineering Mathematical and Computational Biology Statistics for Life Sciences, Medicine, Health Sciences Theoretical and Computational Chemistry Mathematical Methods in Physics Chemie Mathematik Mathematische Physik Statistik Singuläre Störung (DE-588)4055100-3 gnd Störungstheorie (DE-588)4128420-3 gnd Numerische Mathematik (DE-588)4042805-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Mathematics Chemistry Numerical analysis Mathematical physics Statistics Engineering mathematics Numerical Analysis Appl.Mathematics/Computational Methods of Engineering Mathematical and Computational Biology Statistics for Life Sciences, Medicine, Health Sciences Theoretical and Computational Chemistry Mathematical Methods in Physics Chemie Mathematik Mathematische Physik Statistik Singuläre Störung Störungstheorie Numerische Mathematik Numerisches Verfahren Differentialgleichung |
| url | https://doi.org/10.1007/978-3-662-03206-0 |
| work_keys_str_mv | AT rooshansgorg numericalmethodsforsingularlyperturbeddifferentialequationsconvectiondiffusionandflowproblems AT stynesmartin numericalmethodsforsingularlyperturbeddifferentialequationsconvectiondiffusionandflowproblems AT tobiskalutz numericalmethodsforsingularlyperturbeddifferentialequationsconvectiondiffusionandflowproblems |