Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1991
|
| Series: | Springer Series in Computational Mathematics
14 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | "Whatever regrets may be, we have done our best." (Sir Ernest Shackleton, turning back on 9 January 1909 at 88°23' South.) Brahms struggled for 20 years to write his first symphony. Compared to this, the 10 years we have been working on these two volumes may even appear short. This second volume treats stiff differential equations and differential alge braic equations. It contains three chapters: Chapter IV on one-step (Runge Kutta) methods for stiff problems, Chapter Von multistep methods for stiff problems, and Chapter VI on singular perturbation and differential-algebraic equations. Each chapter is divided into sections. Usually the first sections of a chapter are of an introductory nature, explain numerical phenomena and exhibit numerical results. Investigations of a more theoretieal nature are presented in the later sections of each chapter. As in Volume I, the formulas, theorems, tables and figures are numbered consecutively in each section and indicate, in addition, the section num ber. In cross references to other chapters the (latin) chapter number is put first. References to the bibliography are again by "author" plus "year" in parentheses. The bibliography again contains only those papers which are discussed in the text and is in no way meant to be complete |
| Physical Description: | 1 Online-Ressource (XV, 604 p) |
| ISBN: | 9783662099476 9783662099490 |
| ISSN: | 0179-3632 |
| DOI: | 10.1007/978-3-662-09947-6 |
Staff View
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042423430 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1991 |||| o||u| ||||||eng d | ||
| 020 | |a 9783662099476 |c Online |9 978-3-662-09947-6 | ||
| 020 | |a 9783662099490 |c Print |9 978-3-662-09949-0 | ||
| 024 | 7 | |a 10.1007/978-3-662-09947-6 |2 doi | |
| 035 | |a (OCoLC)863880187 | ||
| 035 | |a (DE-599)BVBBV042423430 | ||
| 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 Hairer, Ernst |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Solving Ordinary Differential Equations II |b Stiff and Differential-Algebraic Problems |c by Ernst Hairer, Gerhard Wanner |
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1991 | |
| 300 | |a 1 Online-Ressource (XV, 604 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 14 |x 0179-3632 | |
| 500 | |a "Whatever regrets may be, we have done our best." (Sir Ernest Shackleton, turning back on 9 January 1909 at 88°23' South.) Brahms struggled for 20 years to write his first symphony. Compared to this, the 10 years we have been working on these two volumes may even appear short. This second volume treats stiff differential equations and differential alge braic equations. It contains three chapters: Chapter IV on one-step (Runge Kutta) methods for stiff problems, Chapter Von multistep methods for stiff problems, and Chapter VI on singular perturbation and differential-algebraic equations. Each chapter is divided into sections. Usually the first sections of a chapter are of an introductory nature, explain numerical phenomena and exhibit numerical results. Investigations of a more theoretieal nature are presented in the later sections of each chapter. As in Volume I, the formulas, theorems, tables and figures are numbered consecutively in each section and indicate, in addition, the section num ber. In cross references to other chapters the (latin) chapter number is put first. References to the bibliography are again by "author" plus "year" in parentheses. The bibliography again contains only those papers which are discussed in the text and is in no way meant to be complete | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Global analysis (Mathematics) | |
| 650 | 4 | |a Numerical analysis | |
| 650 | 4 | |a Numerical Analysis | |
| 650 | 4 | |a Analysis | |
| 650 | 4 | |a Mathematik | |
| 700 | 1 | |a Wanner, Gerhard |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-662-09947-6 |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:BVB01-027858847 | ||
Record in the Search Index
| _version_ | 1804153099164581888 |
|---|---|
| any_adam_object | |
| author | Hairer, Ernst |
| author_facet | Hairer, Ernst |
| author_role | aut |
| author_sort | Hairer, Ernst |
| author_variant | e h eh |
| building | Verbundindex |
| bvnumber | BV042423430 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863880187 (DE-599)BVBBV042423430 |
| 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 | 10.1007/978-3-662-09947-6 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02783nmm a2200445zcb4500</leader><controlfield tag="001">BV042423430</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1991 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783662099476</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-662-09947-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783662099490</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-662-09949-0</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-662-09947-6</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)863880187</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042423430</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">Hairer, Ernst</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Solving Ordinary Differential Equations II</subfield><subfield code="b">Stiff and Differential-Algebraic Problems</subfield><subfield code="c">by Ernst Hairer, Gerhard Wanner</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, Heidelberg</subfield><subfield code="b">Springer Berlin Heidelberg</subfield><subfield code="c">1991</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XV, 604 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">14</subfield><subfield code="x">0179-3632</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">"Whatever regrets may be, we have done our best." (Sir Ernest Shackleton, turning back on 9 January 1909 at 88°23' South.) Brahms struggled for 20 years to write his first symphony. Compared to this, the 10 years we have been working on these two volumes may even appear short. This second volume treats stiff differential equations and differential alge braic equations. It contains three chapters: Chapter IV on one-step (Runge Kutta) methods for stiff problems, Chapter Von multistep methods for stiff problems, and Chapter VI on singular perturbation and differential-algebraic equations. Each chapter is divided into sections. Usually the first sections of a chapter are of an introductory nature, explain numerical phenomena and exhibit numerical results. Investigations of a more theoretieal nature are presented in the later sections of each chapter. As in Volume I, the formulas, theorems, tables and figures are numbered consecutively in each section and indicate, in addition, the section num ber. In cross references to other chapters the (latin) chapter number is put first. References to the bibliography are again by "author" plus "year" in parentheses. The bibliography again contains only those papers which are discussed in the text and is in no way meant to be complete</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global analysis (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">Numerical Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wanner, Gerhard</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/10.1007/978-3-662-09947-6</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:BVB01-027858847</subfield></datafield></record></collection> |
| id | DE-604.BV042423430 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662099476 9783662099490 |
| issn | 0179-3632 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858847 |
| oclc_num | 863880187 |
| 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 (XV, 604 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Springer Series in Computational Mathematics |
| spelling | Hairer, Ernst Verfasser aut Solving Ordinary Differential Equations II Stiff and Differential-Algebraic Problems by Ernst Hairer, Gerhard Wanner Berlin, Heidelberg Springer Berlin Heidelberg 1991 1 Online-Ressource (XV, 604 p) txt rdacontent c rdamedia cr rdacarrier Springer Series in Computational Mathematics 14 0179-3632 "Whatever regrets may be, we have done our best." (Sir Ernest Shackleton, turning back on 9 January 1909 at 88°23' South.) Brahms struggled for 20 years to write his first symphony. Compared to this, the 10 years we have been working on these two volumes may even appear short. This second volume treats stiff differential equations and differential alge braic equations. It contains three chapters: Chapter IV on one-step (Runge Kutta) methods for stiff problems, Chapter Von multistep methods for stiff problems, and Chapter VI on singular perturbation and differential-algebraic equations. Each chapter is divided into sections. Usually the first sections of a chapter are of an introductory nature, explain numerical phenomena and exhibit numerical results. Investigations of a more theoretieal nature are presented in the later sections of each chapter. As in Volume I, the formulas, theorems, tables and figures are numbered consecutively in each section and indicate, in addition, the section num ber. In cross references to other chapters the (latin) chapter number is put first. References to the bibliography are again by "author" plus "year" in parentheses. The bibliography again contains only those papers which are discussed in the text and is in no way meant to be complete Mathematics Global analysis (Mathematics) Numerical analysis Numerical Analysis Analysis Mathematik Wanner, Gerhard Sonstige oth https://doi.org/10.1007/978-3-662-09947-6 Verlag Volltext |
| spellingShingle | Hairer, Ernst Solving Ordinary Differential Equations II Stiff and Differential-Algebraic Problems Mathematics Global analysis (Mathematics) Numerical analysis Numerical Analysis Analysis Mathematik |
| title | Solving Ordinary Differential Equations II Stiff and Differential-Algebraic Problems |
| title_auth | Solving Ordinary Differential Equations II Stiff and Differential-Algebraic Problems |
| title_exact_search | Solving Ordinary Differential Equations II Stiff and Differential-Algebraic Problems |
| title_full | Solving Ordinary Differential Equations II Stiff and Differential-Algebraic Problems by Ernst Hairer, Gerhard Wanner |
| title_fullStr | Solving Ordinary Differential Equations II Stiff and Differential-Algebraic Problems by Ernst Hairer, Gerhard Wanner |
| title_full_unstemmed | Solving Ordinary Differential Equations II Stiff and Differential-Algebraic Problems by Ernst Hairer, Gerhard Wanner |
| title_short | Solving Ordinary Differential Equations II |
| title_sort | solving ordinary differential equations ii stiff and differential algebraic problems |
| title_sub | Stiff and Differential-Algebraic Problems |
| topic | Mathematics Global analysis (Mathematics) Numerical analysis Numerical Analysis Analysis Mathematik |
| topic_facet | Mathematics Global analysis (Mathematics) Numerical analysis Numerical Analysis Analysis Mathematik |
| url | https://doi.org/10.1007/978-3-662-09947-6 |
| work_keys_str_mv | AT hairerernst solvingordinarydifferentialequationsiistiffanddifferentialalgebraicproblems AT wannergerhard solvingordinarydifferentialequationsiistiffanddifferentialalgebraicproblems |