Applications of discrete functional analysis to the finite difference method:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | Undetermined |
| Published: |
Oxford u.a.
Internat. Acad. Publ.
1991
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| Edition: | 1. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 260 S. |
| ISBN: | 7800031004 008037946X |
Staff View
MARC
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| adam_text | Contents
Preface (iii)
Chapterl. Interpolation Formulas for Spaces of Discrete Functions (1)
1.1. Discrete Functions with One Index ( 1 )
1.2. Discrete Functions with Several Indices ( 8)
1.3. Compound Discrete Functions ( 16 )
1.4. Inequalities of Difference Quotients ( 23 )
1.5. Fixed Point Theorem of Continuous Mapping in a Finite Dimensional Space .. ( 27 )
Chapter 2. Nonlinear Parabolic Systems ( 29 )
2.1. Finite Difference Scheme ( 29 )
2.2. Estimation of Discrete Solutions ( 36 )
2.3. Convergence Behavior of Discrete Solutions ( 48 )
2.4. Convergence Theorems ( 64 )
2.5. Remarks ( 72 )
Chapter S. Linear Parabolic Systems ( 75 ).
3.1. Problems of Linear Parabolic Systems ( 75 )
3.2. Stability of Difference Scheme ( 80 )
3.3. Remarks on Regularity of Generalized Solutions ( 92 )
3.4. Speed of Convergence ; ( 100 )
Chapter 4. Systems of Schrodinger Type ( 105 )
4.1. Introduction (105)
4.2. Schrodinger Systems of First Type ( 108 )
4.3. Schrodinger Systems of Second Type ( 128 )
Chapter 5. Systems of Ferro Magnetic Chain ( 141)
5.1. Introduction ( 141 )
5.2. Finite Difference Scheme ( 144 )
5.3. A priori Estimation ( 147 )
v
5.4. Convergence of Discrete Solutions ( 154 )
5.5. Global Weak Solutions ( 158)
Chapter 6. Nonlinear Pseudo Parabolic Systems ( 159)
6.1. Introduction ( 159 )
6.2. Finite Difference Scheme ( 161)
6.3. Convergence of Difference Scheme ( 170 )
6.4. Stability of Difference Scheme ( 173 )
Chapter 7. Nonlinear Pseudo Hyperbolic Systems ( 181)
7.1. Introduction ( 181)
7.2. Finite Difference Scheme ( 183 )
7.3. Stability of Difference Scheme ( 201)
Chapter 8. Systems of Nonlinear Wave Equations ( 209 )
8.1. Introduction ( 209 )
8.2. Finite Difference Scheme ( 212 )
8.3. A Priori Estimation ( 217 )
8.4. Convergence ( 226 )
8.5. Other Problems (229)
Chapter 9. Systems of Nonlinear Wave Equations (Continued) ( 233 )
9.1. Introduction ( 233 )
9.2. A Priori Estimation ( 236 )
9.3. Solutions of Finite Slice Scheme ( 244 )
9.4. Solutions of the Original Problem ( 246 )
9.5. A Mixed Problem ( 250 )
References ( 253 )
|
| any_adam_object | 1 |
| author | Zhou, Yulin |
| author_facet | Zhou, Yulin |
| author_role | aut |
| author_sort | Zhou, Yulin |
| author_variant | y z yz |
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| bvnumber | BV006595162 |
| classification_rvk | SK 920 |
| ctrlnum | (OCoLC)231205940 (DE-599)BVBBV006595162 |
| discipline | Mathematik |
| edition | 1. ed. |
| format | Book |
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| id | DE-604.BV006595162 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:48:55Z |
| institution | BVB |
| isbn | 7800031004 008037946X |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004211185 |
| oclc_num | 231205940 |
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| owner | DE-739 |
| owner_facet | DE-739 |
| physical | VI, 260 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Internat. Acad. Publ. |
| record_format | marc |
| spelling | Zhou, Yulin Verfasser aut Applications of discrete functional analysis to the finite difference method Zhou Yulin 1. ed. Oxford u.a. Internat. Acad. Publ. 1991 VI, 260 S. txt rdacontent n rdamedia nc rdacarrier Finite-Differenzen-Methode - Funktionalanalysis Partielle Differentialgleichung - Numerisches Verfahren - Finite-Differenzen-Methode Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Finite-Differenzen-Methode (DE-588)4194626-1 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Numerisches Verfahren (DE-588)4128130-5 s Finite-Differenzen-Methode (DE-588)4194626-1 s DE-604 Funktionalanalysis (DE-588)4018916-8 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004211185&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zhou, Yulin Applications of discrete functional analysis to the finite difference method Finite-Differenzen-Methode - Funktionalanalysis Partielle Differentialgleichung - Numerisches Verfahren - Finite-Differenzen-Methode Partielle Differentialgleichung (DE-588)4044779-0 gnd Funktionalanalysis (DE-588)4018916-8 gnd Finite-Differenzen-Methode (DE-588)4194626-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4018916-8 (DE-588)4194626-1 (DE-588)4128130-5 |
| title | Applications of discrete functional analysis to the finite difference method |
| title_auth | Applications of discrete functional analysis to the finite difference method |
| title_exact_search | Applications of discrete functional analysis to the finite difference method |
| title_full | Applications of discrete functional analysis to the finite difference method Zhou Yulin |
| title_fullStr | Applications of discrete functional analysis to the finite difference method Zhou Yulin |
| title_full_unstemmed | Applications of discrete functional analysis to the finite difference method Zhou Yulin |
| title_short | Applications of discrete functional analysis to the finite difference method |
| title_sort | applications of discrete functional analysis to the finite difference method |
| topic | Finite-Differenzen-Methode - Funktionalanalysis Partielle Differentialgleichung - Numerisches Verfahren - Finite-Differenzen-Methode Partielle Differentialgleichung (DE-588)4044779-0 gnd Funktionalanalysis (DE-588)4018916-8 gnd Finite-Differenzen-Methode (DE-588)4194626-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Finite-Differenzen-Methode - Funktionalanalysis Partielle Differentialgleichung - Numerisches Verfahren - Finite-Differenzen-Methode Partielle Differentialgleichung Funktionalanalysis Finite-Differenzen-Methode Numerisches Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004211185&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT zhouyulin applicationsofdiscretefunctionalanalysistothefinitedifferencemethod |