Strong stability preserving Runge-Kutta and multistep time discretizations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hackensack, NJ
World Scientific
©2011
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references and index This book captures the state-of-the-art in the field of Strong Stability Preserving (SSP) time stepping methods, which have significant advantages for the time evolution of partial differential equations describing a wide range of physical phenomena. This comprehensive book describes the development of SSP methods, explains the types of problems which require the use of these methods and demonstrates the efficiency of these methods using a variety of numerical examples. Another valuable feature of this book is that it collects the most useful SSP methods, both explicit and implicit, and presen Preface; Contents; 1. Overview: The Development of SSP Methods; 2. Strong Stability Preserving Explicit Runge-Kutta Methods; 3. The SSP Coe cient for Runge-Kutta Methods; 4. SSP Runge-Kutta Methods for Linear Constant Coefficient Problems; 5. Bounds and Barriers for SSP Runge-Kutta Methods; 6. Low Storage Optimal Explicit SSP Runge-Kutta Methods; 7. Optimal Implicit SSP Runge-Kutta Methods; 8. SSP Properties of Linear Multistep Methods; 9. SSP Properties of Multistep Multi-Stage Methods; 10. Downwinding; 11. Applications; Bibliography; Index |
| Beschreibung: | 1 Online-Ressource (xii, 176 pages) |
| ISBN: | 9789814289269 9789814289276 9814289264 9814289272 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV043127088 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 151126s2011 |||| o||u| ||||||eng d | ||
| 020 | |a 9789814289269 |9 978-981-4289-26-9 | ||
| 020 | |a 9789814289276 |c electronic bk. |9 978-981-4289-27-6 | ||
| 020 | |a 9814289264 |9 981-4289-26-4 | ||
| 020 | |a 9814289272 |c electronic bk. |9 981-4289-27-2 | ||
| 035 | |a (OCoLC)733048132 | ||
| 035 | |a (DE-599)BVBBV043127088 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-1046 |a DE-1047 | ||
| 082 | 0 | |a 518/.6 |2 22 | |
| 100 | 1 | |a Gottlieb, Sigal |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Strong stability preserving Runge-Kutta and multistep time discretizations |c Sigal Gottlieb, David Ketcheson, Chi-Wang Shu |
| 264 | 1 | |a Hackensack, NJ |b World Scientific |c ©2011 | |
| 300 | |a 1 Online-Ressource (xii, 176 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 500 | |a This book captures the state-of-the-art in the field of Strong Stability Preserving (SSP) time stepping methods, which have significant advantages for the time evolution of partial differential equations describing a wide range of physical phenomena. This comprehensive book describes the development of SSP methods, explains the types of problems which require the use of these methods and demonstrates the efficiency of these methods using a variety of numerical examples. Another valuable feature of this book is that it collects the most useful SSP methods, both explicit and implicit, and presen | ||
| 500 | |a Preface; Contents; 1. Overview: The Development of SSP Methods; 2. Strong Stability Preserving Explicit Runge-Kutta Methods; 3. The SSP Coe cient for Runge-Kutta Methods; 4. SSP Runge-Kutta Methods for Linear Constant Coefficient Problems; 5. Bounds and Barriers for SSP Runge-Kutta Methods; 6. Low Storage Optimal Explicit SSP Runge-Kutta Methods; 7. Optimal Implicit SSP Runge-Kutta Methods; 8. SSP Properties of Linear Multistep Methods; 9. SSP Properties of Multistep Multi-Stage Methods; 10. Downwinding; 11. Applications; Bibliography; Index | ||
| 650 | 4 | |a Mathematics | |
| 650 | 7 | |a MATHEMATICS / Numerical Analysis |2 bisacsh | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Runge-Kutta formulas | |
| 650 | 4 | |a Differential equations |x Numerical solutions | |
| 650 | 4 | |a Stability | |
| 650 | 0 | 7 | |a Diskretisierung |0 (DE-588)4012469-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Runge-Kutta-Verfahren |0 (DE-588)4203408-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Runge-Kutta-Verfahren |0 (DE-588)4203408-5 |D s |
| 689 | 0 | 1 | |a Diskretisierung |0 (DE-588)4012469-1 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Ketcheson, David I. |e Sonstige |4 oth | |
| 700 | 1 | |a Shu, Chi-Wang |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373226 |x Aggregator |3 Volltext |
| 912 | |a ZDB-4-EBA | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-028551279 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373226 |l FAW01 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373226 |l FAW02 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804175562519871488 |
|---|---|
| any_adam_object | |
| author | Gottlieb, Sigal |
| author_facet | Gottlieb, Sigal |
| author_role | aut |
| author_sort | Gottlieb, Sigal |
| author_variant | s g sg |
| building | Verbundindex |
| bvnumber | BV043127088 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)733048132 (DE-599)BVBBV043127088 |
| dewey-full | 518/.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518/.6 |
| dewey-search | 518/.6 |
| dewey-sort | 3518 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03430nmm a2200553zc 4500</leader><controlfield tag="001">BV043127088</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">151126s2011 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789814289269</subfield><subfield code="9">978-981-4289-26-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789814289276</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-981-4289-27-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9814289264</subfield><subfield code="9">981-4289-26-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9814289272</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">981-4289-27-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)733048132</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043127088</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><subfield code="a">DE-1047</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">518/.6</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Gottlieb, Sigal</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Strong stability preserving Runge-Kutta and multistep time discretizations</subfield><subfield code="c">Sigal Gottlieb, David Ketcheson, Chi-Wang Shu</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Hackensack, NJ</subfield><subfield code="b">World Scientific</subfield><subfield code="c">©2011</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xii, 176 pages)</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="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This book captures the state-of-the-art in the field of Strong Stability Preserving (SSP) time stepping methods, which have significant advantages for the time evolution of partial differential equations describing a wide range of physical phenomena. This comprehensive book describes the development of SSP methods, explains the types of problems which require the use of these methods and demonstrates the efficiency of these methods using a variety of numerical examples. Another valuable feature of this book is that it collects the most useful SSP methods, both explicit and implicit, and presen</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Preface; Contents; 1. Overview: The Development of SSP Methods; 2. Strong Stability Preserving Explicit Runge-Kutta Methods; 3. The SSP Coe cient for Runge-Kutta Methods; 4. SSP Runge-Kutta Methods for Linear Constant Coefficient Problems; 5. Bounds and Barriers for SSP Runge-Kutta Methods; 6. Low Storage Optimal Explicit SSP Runge-Kutta Methods; 7. Optimal Implicit SSP Runge-Kutta Methods; 8. SSP Properties of Linear Multistep Methods; 9. SSP Properties of Multistep Multi-Stage Methods; 10. Downwinding; 11. Applications; Bibliography; Index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Numerical Analysis</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Runge-Kutta formulas</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations</subfield><subfield code="x">Numerical solutions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stability</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Diskretisierung</subfield><subfield code="0">(DE-588)4012469-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Runge-Kutta-Verfahren</subfield><subfield code="0">(DE-588)4203408-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Runge-Kutta-Verfahren</subfield><subfield code="0">(DE-588)4203408-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Diskretisierung</subfield><subfield code="0">(DE-588)4012469-1</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="700" ind1="1" ind2=" "><subfield code="a">Ketcheson, David I.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Shu, Chi-Wang</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373226</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-028551279</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="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373226</subfield><subfield code="l">FAW01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373226</subfield><subfield code="l">FAW02</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043127088 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:16Z |
| institution | BVB |
| isbn | 9789814289269 9789814289276 9814289264 9814289272 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028551279 |
| oclc_num | 733048132 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xii, 176 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Gottlieb, Sigal Verfasser aut Strong stability preserving Runge-Kutta and multistep time discretizations Sigal Gottlieb, David Ketcheson, Chi-Wang Shu Hackensack, NJ World Scientific ©2011 1 Online-Ressource (xii, 176 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index This book captures the state-of-the-art in the field of Strong Stability Preserving (SSP) time stepping methods, which have significant advantages for the time evolution of partial differential equations describing a wide range of physical phenomena. This comprehensive book describes the development of SSP methods, explains the types of problems which require the use of these methods and demonstrates the efficiency of these methods using a variety of numerical examples. Another valuable feature of this book is that it collects the most useful SSP methods, both explicit and implicit, and presen Preface; Contents; 1. Overview: The Development of SSP Methods; 2. Strong Stability Preserving Explicit Runge-Kutta Methods; 3. The SSP Coe cient for Runge-Kutta Methods; 4. SSP Runge-Kutta Methods for Linear Constant Coefficient Problems; 5. Bounds and Barriers for SSP Runge-Kutta Methods; 6. Low Storage Optimal Explicit SSP Runge-Kutta Methods; 7. Optimal Implicit SSP Runge-Kutta Methods; 8. SSP Properties of Linear Multistep Methods; 9. SSP Properties of Multistep Multi-Stage Methods; 10. Downwinding; 11. Applications; Bibliography; Index Mathematics MATHEMATICS / Numerical Analysis bisacsh Mathematik Runge-Kutta formulas Differential equations Numerical solutions Stability Diskretisierung (DE-588)4012469-1 gnd rswk-swf Runge-Kutta-Verfahren (DE-588)4203408-5 gnd rswk-swf Runge-Kutta-Verfahren (DE-588)4203408-5 s Diskretisierung (DE-588)4012469-1 s 1\p DE-604 Ketcheson, David I. Sonstige oth Shu, Chi-Wang Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373226 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gottlieb, Sigal Strong stability preserving Runge-Kutta and multistep time discretizations Mathematics MATHEMATICS / Numerical Analysis bisacsh Mathematik Runge-Kutta formulas Differential equations Numerical solutions Stability Diskretisierung (DE-588)4012469-1 gnd Runge-Kutta-Verfahren (DE-588)4203408-5 gnd |
| subject_GND | (DE-588)4012469-1 (DE-588)4203408-5 |
| title | Strong stability preserving Runge-Kutta and multistep time discretizations |
| title_auth | Strong stability preserving Runge-Kutta and multistep time discretizations |
| title_exact_search | Strong stability preserving Runge-Kutta and multistep time discretizations |
| title_full | Strong stability preserving Runge-Kutta and multistep time discretizations Sigal Gottlieb, David Ketcheson, Chi-Wang Shu |
| title_fullStr | Strong stability preserving Runge-Kutta and multistep time discretizations Sigal Gottlieb, David Ketcheson, Chi-Wang Shu |
| title_full_unstemmed | Strong stability preserving Runge-Kutta and multistep time discretizations Sigal Gottlieb, David Ketcheson, Chi-Wang Shu |
| title_short | Strong stability preserving Runge-Kutta and multistep time discretizations |
| title_sort | strong stability preserving runge kutta and multistep time discretizations |
| topic | Mathematics MATHEMATICS / Numerical Analysis bisacsh Mathematik Runge-Kutta formulas Differential equations Numerical solutions Stability Diskretisierung (DE-588)4012469-1 gnd Runge-Kutta-Verfahren (DE-588)4203408-5 gnd |
| topic_facet | Mathematics MATHEMATICS / Numerical Analysis Mathematik Runge-Kutta formulas Differential equations Numerical solutions Stability Diskretisierung Runge-Kutta-Verfahren |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373226 |
| work_keys_str_mv | AT gottliebsigal strongstabilitypreservingrungekuttaandmultisteptimediscretizations AT ketchesondavidi strongstabilitypreservingrungekuttaandmultisteptimediscretizations AT shuchiwang strongstabilitypreservingrungekuttaandmultisteptimediscretizations |