Strong stability preserving Runge-Kutta and multistep time discretizations /:
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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hackensack, NJ :
World Scientific,
©2011.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xii, 176 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789814289276 9814289272 1283148323 9781283148320 9786613148322 6613148326 |
Internformat
MARC
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| 100 | 1 | |a Gottlieb, Sigal. | |
| 245 | 1 | 0 | |a Strong stability preserving Runge-Kutta and multistep time discretizations / |c Sigal Gottlieb, David Ketcheson, Chi-Wang Shu. |
| 260 | |a Hackensack, NJ : |b World Scientific, |c ©2011. | ||
| 300 | |a 1 online resource (xii, 176 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 504 | |a Includes bibliographical references and index. | ||
| 520 | |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. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |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. | |
| 546 | |a English. | ||
| 650 | 0 | |a Runge-Kutta formulas. |0 http://id.loc.gov/authorities/subjects/sh85115854 | |
| 650 | 0 | |a Differential equations |x Numerical solutions. |0 http://id.loc.gov/authorities/subjects/sh85037893 | |
| 650 | 0 | |a Stability. |0 http://id.loc.gov/authorities/subjects/sh85127185 | |
| 650 | 6 | |a Méthode de Runge-Kutta. | |
| 650 | 6 | |a Équations différentielles |x Solutions numériques. | |
| 650 | 6 | |a Stabilité. | |
| 650 | 7 | |a stability. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Numerical Analysis. |2 bisacsh | |
| 650 | 7 | |a Differential equations |x Numerical solutions |2 fast | |
| 650 | 7 | |a Runge-Kutta formulas |2 fast | |
| 650 | 7 | |a Stability |2 fast | |
| 700 | 1 | |a Ketcheson, David I. | |
| 700 | 1 | |a Shu, Chi-Wang. | |
| 758 | |i has work: |a Strong stability preserving Runge-Kutta and multistep time discretizations (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGBTPTYxjFVBvfXKXF3XJP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn733048132 |
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| _version_ | 1816881763229630464 |
| adam_text | |
| any_adam_object | |
| author | Gottlieb, Sigal |
| author2 | Ketcheson, David I. Shu, Chi-Wang |
| author2_role | |
| author2_variant | d i k di dik c w s cws |
| author_facet | Gottlieb, Sigal Ketcheson, David I. Shu, Chi-Wang |
| author_role | |
| author_sort | Gottlieb, Sigal |
| author_variant | s g sg |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA297 |
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| callnumber-search | QA297.5 .G68 2011eb |
| callnumber-sort | QA 3297.5 G68 42011EB |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | 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. |
| ctrlnum | (OCoLC)733048132 |
| 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 |
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| id | ZDB-4-EBA-ocn733048132 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:53Z |
| institution | BVB |
| isbn | 9789814289276 9814289272 1283148323 9781283148320 9786613148322 6613148326 |
| language | English |
| oclc_num | 733048132 |
| open_access_boolean | |
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| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xii, 176 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2011 |
| publishDateSearch | 2011 |
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| publisher | World Scientific, |
| record_format | marc |
| spelling | Gottlieb, Sigal. Strong stability preserving Runge-Kutta and multistep time discretizations / Sigal Gottlieb, David Ketcheson, Chi-Wang Shu. Hackensack, NJ : World Scientific, ©2011. 1 online resource (xii, 176 pages) : illustrations text txt rdacontent computer c rdamedia online resource 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. Print version record. 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. English. Runge-Kutta formulas. http://id.loc.gov/authorities/subjects/sh85115854 Differential equations Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037893 Stability. http://id.loc.gov/authorities/subjects/sh85127185 Méthode de Runge-Kutta. Équations différentielles Solutions numériques. Stabilité. stability. aat MATHEMATICS Numerical Analysis. bisacsh Differential equations Numerical solutions fast Runge-Kutta formulas fast Stability fast Ketcheson, David I. Shu, Chi-Wang. has work: Strong stability preserving Runge-Kutta and multistep time discretizations (Text) https://id.oclc.org/worldcat/entity/E39PCGBTPTYxjFVBvfXKXF3XJP https://id.oclc.org/worldcat/ontology/hasWork Print version: Gottlieb, Sigal. Strong stability preserving Runge-Kutta and multistep time discretizations. Hackensack, NJ : World Scientific, ©2011 9789814289269 (DLC) 2010048026 (OCoLC)693750915 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=373226 Volltext |
| spellingShingle | Gottlieb, Sigal Strong stability preserving Runge-Kutta and multistep time discretizations / 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. Runge-Kutta formulas. http://id.loc.gov/authorities/subjects/sh85115854 Differential equations Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037893 Stability. http://id.loc.gov/authorities/subjects/sh85127185 Méthode de Runge-Kutta. Équations différentielles Solutions numériques. Stabilité. stability. aat MATHEMATICS Numerical Analysis. bisacsh Differential equations Numerical solutions fast Runge-Kutta formulas fast Stability fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85115854 http://id.loc.gov/authorities/subjects/sh85037893 http://id.loc.gov/authorities/subjects/sh85127185 |
| 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 | Runge-Kutta formulas. http://id.loc.gov/authorities/subjects/sh85115854 Differential equations Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037893 Stability. http://id.loc.gov/authorities/subjects/sh85127185 Méthode de Runge-Kutta. Équations différentielles Solutions numériques. Stabilité. stability. aat MATHEMATICS Numerical Analysis. bisacsh Differential equations Numerical solutions fast Runge-Kutta formulas fast Stability fast |
| topic_facet | Runge-Kutta formulas. Differential equations Numerical solutions. Stability. Méthode de Runge-Kutta. Équations différentielles Solutions numériques. Stabilité. stability. MATHEMATICS Numerical Analysis. Differential equations Numerical solutions Runge-Kutta formulas Stability |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=373226 |
| work_keys_str_mv | AT gottliebsigal strongstabilitypreservingrungekuttaandmultisteptimediscretizations AT ketchesondavidi strongstabilitypreservingrungekuttaandmultisteptimediscretizations AT shuchiwang strongstabilitypreservingrungekuttaandmultisteptimediscretizations |