Differential algebraic equations and their numerical treatment:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English Russian French German |
| Published: |
Leipzig
Teubner
1986
|
| Edition: | 1. Aufl. |
| Series: | Teubner-Texte zur Mathematik
88 |
| Subjects: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005009784&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Item Description: | Zsfassungen in dt., franz. u. russ. Sprache |
| Physical Description: | 220 S. |
| ISBN: | 3322003434 |
Staff View
MARC
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Record in the Search Index
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| adam_text | £ONTENTS
Introduction 5
1. Analysis of differential algebraic equations 14
1 .1 Linear differential algebraic equations with con¬
stant coefficients 14
1.2 Transferable differential algebraic equations 24
1.2.1 Suitable function spaces 26
1.2.2 Differential algebraic equations 30
1.2.3 Transferability and correctness 35
1.2.4 Well posed boundary value problems 45
1.2.4.1 Linear boundary value problems 46
1.2.4.2 Well posed nonlinear boundary value problems and
linearization 55
1.2.4.3 Shooting methods 61
1.2.5 Stability 74
1.3 Nontransferable normal DAE s 85
1.3.1 Examples 87
1.3.2 Tractability with index 2 92
1.3.3 Canonical normal forms of DAE s and reduction
methods 104
2. Integration methods 112
2.1 Runge Kutta methods 112
2.2 Multistep methods 132
2.2.1 Construction and feasibility of multistep methods
for DAE s 132
2.2.2 Consistency and stability of linear multistep methods 145
2.2.3 Consistency and stability of one leg methods 155
2.3 Instability of integration methods in the case of
non transferable DAE s. 165
3. Difference methods for boundary value problems 172
3.1 Formulating the difference schemes 172
3.2 Stability and feasibility 176
Appendix A: Matrix theoretic foundation 191
Appendix B: Transformation of normal DAE s into those with
special structure and into regular differentia) equa¬
tions 204
References General Literature 212
References Special Literature 213
Denotations 218
Index 220
|
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| author | Griepentrog, Eberhard März, Roswitha 1940- |
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| classification_rvk | SK 520 |
| ctrlnum | (OCoLC)15689097 (DE-599)BVBBV007646458 |
| discipline | Mathematik |
| edition | 1. Aufl. |
| format | Book |
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| genre | Algebra-Differentialgleichung gnd |
| genre_facet | Algebra-Differentialgleichung |
| id | DE-604.BV007646458 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:08:58Z |
| institution | BVB |
| isbn | 3322003434 |
| language | English Russian French German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005009784 |
| oclc_num | 15689097 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR |
| owner_facet | DE-355 DE-BY-UBR |
| physical | 220 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Teubner |
| record_format | marc |
| series2 | Teubner-Texte zur Mathematik |
| spellingShingle | Griepentrog, Eberhard März, Roswitha 1940- Differential algebraic equations and their numerical treatment Boundary value problems Differential equations Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Algebraische Differentialgleichung (DE-588)4001158-6 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4229517-8 (DE-588)4001158-6 (DE-588)4128130-5 |
| title | Differential algebraic equations and their numerical treatment |
| title_auth | Differential algebraic equations and their numerical treatment |
| title_exact_search | Differential algebraic equations and their numerical treatment |
| title_full | Differential algebraic equations and their numerical treatment Eberhard Griepentrog ; Roswitha März |
| title_fullStr | Differential algebraic equations and their numerical treatment Eberhard Griepentrog ; Roswitha März |
| title_full_unstemmed | Differential algebraic equations and their numerical treatment Eberhard Griepentrog ; Roswitha März |
| title_short | Differential algebraic equations and their numerical treatment |
| title_sort | differential algebraic equations and their numerical treatment |
| topic | Boundary value problems Differential equations Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Algebraische Differentialgleichung (DE-588)4001158-6 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Boundary value problems Differential equations Differential-algebraisches Gleichungssystem Algebraische Differentialgleichung Numerisches Verfahren Algebra-Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005009784&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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