Methods for the approximate solution of time dependent problems: Global Atmospheric Research Programme (GARP) ; WMO-ICSU Joint Organizing Committee
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Genf
world meteorological organization
1973
|
| Schriftenreihe: | GARP publications series
10 |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009178854&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | xx, 107 Seiten |
Internformat
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| 245 | 1 | 0 | |a Methods for the approximate solution of time dependent problems |b Global Atmospheric Research Programme (GARP) ; WMO-ICSU Joint Organizing Committee |
| 264 | 1 | |a Genf |b world meteorological organization |c 1973 | |
| 300 | |a xx, 107 Seiten | ||
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| 490 | 1 | |a GARP publications series |v 10 | |
| 700 | 1 | |a Oliger, Joseph |d 1941- |0 (DE-588)17229844X |4 aut | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009178854 | |
Datensatz im Suchindex
| _version_ | 1819302379725520896 |
|---|---|
| adam_text | CONTENTS
Page
FOREWORD vii
SUMMARY xvii
INTRODUCTION 1
1. Difference Approximations for Ordinary Differential
Equations 3
2. Some Simple Difference Approximations for Ordinary
Differential Equations 7
3. The Importance of the Truncation Error and the Stability
Definition for Error Estimates 11
4. Some Remarks on the Choice of a Difference Method and the
Step Size 12
5 . The Leap Frog Scheme 14
6. Notation and Elementary Theorems 16
7. Well Posed Cauchy Problems 19
8. Stable Difference Approximations for the Cauchy Problem . . 27
9. Difference Approximations for Hyperbolic Systems 33
10. On the Choice of a Difference Scheme 38
11. Trigonometric Interpolation 42
12. The Fourier Method 46
13 Implicit Difference Methods 54
14. Nonlinear Instability 59
15• Initial Boundary Value Problems for Hyperbolic Equations . 64
16. Initial Boundary Value Problems for Parabolic Equations . . 71
17• Difference Approximations for the Initial Boundary Value
Problem. Stability Definition 72
18. Difference Approximations for the Initial Boundary Value
Problem. Some Stable Methods 79
19• The Shallow Water Equations 82
20. Grids 86
21. Discontinuities 97
REFERENCES 101
BIBLIOGRAPHY . 103
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| any_adam_object | 1 |
| author | Kreiss, Heinz-Otto Oliger, Joseph 1941- |
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| id | DE-604.BV013447412 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T10:47:33Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009178854 |
| oclc_num | 634696221 |
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| owner | DE-19 DE-BY-UBM DE-83 |
| owner_facet | DE-19 DE-BY-UBM DE-83 |
| physical | xx, 107 Seiten |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | world meteorological organization |
| record_format | marc |
| series | GARP publications series |
| series2 | GARP publications series |
| spellingShingle | Kreiss, Heinz-Otto Oliger, Joseph 1941- Methods for the approximate solution of time dependent problems Global Atmospheric Research Programme (GARP) ; WMO-ICSU Joint Organizing Committee GARP publications series |
| title | Methods for the approximate solution of time dependent problems Global Atmospheric Research Programme (GARP) ; WMO-ICSU Joint Organizing Committee |
| title_auth | Methods for the approximate solution of time dependent problems Global Atmospheric Research Programme (GARP) ; WMO-ICSU Joint Organizing Committee |
| title_exact_search | Methods for the approximate solution of time dependent problems Global Atmospheric Research Programme (GARP) ; WMO-ICSU Joint Organizing Committee |
| title_full | Methods for the approximate solution of time dependent problems Global Atmospheric Research Programme (GARP) ; WMO-ICSU Joint Organizing Committee |
| title_fullStr | Methods for the approximate solution of time dependent problems Global Atmospheric Research Programme (GARP) ; WMO-ICSU Joint Organizing Committee |
| title_full_unstemmed | Methods for the approximate solution of time dependent problems Global Atmospheric Research Programme (GARP) ; WMO-ICSU Joint Organizing Committee |
| title_short | Methods for the approximate solution of time dependent problems |
| title_sort | methods for the approximate solution of time dependent problems global atmospheric research programme garp wmo icsu joint organizing committee |
| title_sub | Global Atmospheric Research Programme (GARP) ; WMO-ICSU Joint Organizing Committee |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009178854&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021865081 |
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