Time dependent partial differential equations and their numerical solution:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
2001
|
| Series: | Lectures in mathematics : ETH Zürich
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 82 S. graph. Darst. |
| ISBN: | 3764361255 |
Staff View
MARC
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| 245 | 1 | 0 | |a Time dependent partial differential equations and their numerical solution |c Heinz-Otto Kreiss ; Hedwig Ulmer Busenhart |
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Record in the Search Index
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| adam_text | Contents
Preface vii
1 Cauchy Problems
1.1 Introductory Examples 1
1.2 Well Posedness 3
1.3 Hyperbolic Systems with Constant Coefficients 5
1.3.1 In One Space Dimension 5
1.3.2 Symmetrizer 7
1.3.3 Multiple Space Dimensions 8
1.4 General Systems with Constant Coefficients 11
1.4.1 Parabolic Systems 14
1.4.2 Mixed Systems 16
1.5 Linear Systems with Variable Coefficients 19
1.6 Remarks 20
2 Half Plane Problems
2.1 Hyperbolic Systems in One Dimension 21
2.2 Hyperbolic Systems in Two Dimensions 25
2.3 Well Posed Half Plane Problems 32
2.4 Well Posed Problems in the Generalized Sense 34
2.5 Farfield Boundary Conditions 41
2.6 Energy Estimates 44
2.7 First Order Systems with Variable Coefficients 45
2.8 Remarks 46
3 Difference Methods
3.1 Periodic Problems 47
3.2 Half Plane Problems 56
3.2.1 Energy Estimates 57
3.2.2 Estimates by using Laplace Transform 59
3.2.3 Error Estimates 64
3.3 Method of Lines 64
3.4 Remarks 65
vi Contents
4 Nonlinear Problems
4.1 General Discussion 67
4.2 Initial Value Problems for Ordinary
Differential Equations 67
4.3 Existence Theorems for Nonlinear Partial
Differential Equations 71
4.4 Perturbation Expansion 75
4.5 Convergence of Difference Methods 75
4.6 Remarks 77
Bibliography 79
Index 81
|
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| id | DE-604.BV013585959 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:48:27Z |
| institution | BVB |
| isbn | 3764361255 |
| language | English |
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| physical | 82 S. graph. Darst. |
| publishDate | 2001 |
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| publisher | Birkhäuser |
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| series2 | Lectures in mathematics : ETH Zürich |
| spelling | Kreiss, Heinz-Otto Verfasser (DE-588)122643615 aut Time dependent partial differential equations and their numerical solution Heinz-Otto Kreiss ; Hedwig Ulmer Busenhart Basel [u.a.] Birkhäuser 2001 82 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lectures in mathematics : ETH Zürich Équations aux dérivées partielles - Solutions numériques Differential equations, Partial Numerical solutions Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Ulmer Busenhart, Hedwig Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009279261&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kreiss, Heinz-Otto Ulmer Busenhart, Hedwig Time dependent partial differential equations and their numerical solution Équations aux dérivées partielles - Solutions numériques Differential equations, Partial Numerical solutions Numerisches Verfahren (DE-588)4128130-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4044779-0 |
| title | Time dependent partial differential equations and their numerical solution |
| title_auth | Time dependent partial differential equations and their numerical solution |
| title_exact_search | Time dependent partial differential equations and their numerical solution |
| title_full | Time dependent partial differential equations and their numerical solution Heinz-Otto Kreiss ; Hedwig Ulmer Busenhart |
| title_fullStr | Time dependent partial differential equations and their numerical solution Heinz-Otto Kreiss ; Hedwig Ulmer Busenhart |
| title_full_unstemmed | Time dependent partial differential equations and their numerical solution Heinz-Otto Kreiss ; Hedwig Ulmer Busenhart |
| title_short | Time dependent partial differential equations and their numerical solution |
| title_sort | time dependent partial differential equations and their numerical solution |
| topic | Équations aux dérivées partielles - Solutions numériques Differential equations, Partial Numerical solutions Numerisches Verfahren (DE-588)4128130-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Équations aux dérivées partielles - Solutions numériques Differential equations, Partial Numerical solutions Numerisches Verfahren Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009279261&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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