Methods for the approximate solution of time dependent problems: Global Atmospheric Research Programme (GARP) ; WMO-ICSU Joint Organizing Committee
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Genf
world meteorological organization
1973
|
| Series: | GARP publications series
10 |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xx, 107 Seiten |
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Record in the Search Index
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| 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
|
| any_adam_object | 1 |
| author | Kreiss, Heinz-Otto Oliger, Joseph 1941- |
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| id | DE-604.BV013447412 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:46:05Z |
| institution | BVB |
| language | English |
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| oclc_num | 634696221 |
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| 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 |
| spelling | Kreiss, Heinz-Otto (DE-588)122643615 aut Methods for the approximate solution of time dependent problems Global Atmospheric Research Programme (GARP) ; WMO-ICSU Joint Organizing Committee Genf world meteorological organization 1973 xx, 107 Seiten txt rdacontent n rdamedia nc rdacarrier GARP publications series 10 Oliger, Joseph 1941- (DE-588)17229844X aut GARP publications series 10 (DE-604)BV021865081 10 HBZ Datenaustausch application/pdf 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 Inhaltsverzeichnis |
| 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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