Fitted numerical methods for singular perturbation problems: error estimates in the maximum norm for linear problems in one and two dimensions
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
1996
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 166 S. graph. Darst. |
| ISBN: | 9810224621 |
Staff View
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Record in the Search Index
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| adam_text | FITTED NUMERICAL METHODS FOR SINGULAR PERTURBATION PROBLEMS ERROR
ESTIMATES IN THE MAXIMUM NORM FOR LINEAR PROBLEMS IN ONE AND TWO
DIMENSIONS J. J. H. MILLER DEPARTMENT OF MATHEMATICS TRINITY COLLEGE
DUBLIN, IRELAND E. O RIORDAN SCHOOL OF MATHEMATICAL SCIENCES DUBLIN CITY
UNIVERSITY DUBLIN, IRELAND G. I. SHISHKIN INSTITUTE FOR MATHEMATICS AND
MECHANICS RUSSIAN ACADEMY OF SCIENCES EKATERINBERG, RUSSIA WORLD
SCIENTIFIC SINGAPORE * NEW JERSEY * LONDON * HONG KONG CONTENTS PREFACE
VII NOTATION AND TERMINOLOGY XIII 1 MOTIVATION FOR THE STUDY OF SINGULAR
PERTURBATION PROBLEMS 1 2 SIMPLE EXAMPLES OF SINGULAR PERTURBATION
PROBLEMS 5 3 NUMERICAL METHODS FOR SINGULAR PERTURBATION PROBLEMS 11 4
SIMPLE FITTED OPERATOR METHODS IN ONE DIMENSION 18 5 SIMPLE FITTED MESH
METHODS IN ONE DIMENSION 30 6 CONVERGENCE OF FITTED MESH FINITE
DIFFERENCE METHODS FOR LINEAR REACTION- DIFFUSION PROBLEMS IN ONE
DIMENSION 38 7 PROPERTIES OF UPWIND FINITE DIFFERENCE OPERATORS ON
PIECEWISE UNIFORM FITTED MESHES 48 8 CONVERGENCE OF FITTED MESH FINITE
DIFFERENCE METHODS FOR LINEAR CONVECTION- DIFFUSION PROBLEMS IN ONE
DIMENSION 54 9 FITTED MESH FINITE ELEMENT METHODS FOR LINEAR
CONVECTION-DIFFUSION PROBLEMS IN ONE DIMENSION 69 10 CONVERGENCE OF
SCHWARZ ITERATIVE METHODS FOR FITTED MESH METHODS IN ONE DIMENSION 83 11
LINEAR CONVECTION-DIFFUSION PROBLEMS IN TWO DIMENSIONS AND THEIR
NUMERICAL SOLUTION 96 12 BOUNDS ON THE DERIVATIVES OF SOLUTIONS OF
LINEAR CONVECTION-DIFFUSION PROBLEMS IN TWO DIMENSIONS WITH REGULAR
BOUNDARY LAYERS 107 13 CONVERGENCE OF FITTED MESH FINITE DIFFERENCE
METHODS FOR LINEAR CONVECTION- DIFFUSION PROBLEMS IN TWO DIMENSIONS WITH
REGULAR BOUNDARY LAYERS 119 14 LIMITATIONS OF FITTED OPERATOR METHODS ON
UNIFORM RECTANGULAR MESHES FOR PROBLEMS WITH PARABOLIC BOUNDARY LAYERS
128 15 FITTED NUMERICAL METHODS FOR PROBLEMS WITH INITIAL AND PARABOLIC
BOUNDARY LAYERS 144 APPENDIX 154 REFERENCES 159 INDEX 164 XI
|
| any_adam_object | 1 |
| author | Miller, John J. H. O'Riordan, Eugene Shishkin, Grigory I. |
| author_facet | Miller, John J. H. O'Riordan, Eugene Shishkin, Grigory I. |
| author_role | aut aut aut |
| author_sort | Miller, John J. H. |
| author_variant | j j h m jjh jjhm e o eo g i s gi gis |
| building | Verbundindex |
| bvnumber | BV010861206 |
| callnumber-first | Q - Science |
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| classification_rvk | SK 920 |
| ctrlnum | (OCoLC)34766854 (DE-599)BVBBV010861206 |
| dewey-full | 515.354 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.354 |
| dewey-search | 515.354 |
| dewey-sort | 3515.354 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:00:07Z |
| institution | BVB |
| isbn | 9810224621 |
| language | English |
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| physical | XIV, 166 S. graph. Darst. |
| publishDate | 1996 |
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| publisher | World Scientific |
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| spelling | Miller, John J. H. Verfasser aut Fitted numerical methods for singular perturbation problems error estimates in the maximum norm for linear problems in one and two dimensions J. J. H. Miller ; E. O'Riordan ; G. I. Shishkin Singapore [u.a.] World Scientific 1996 XIV, 166 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier EQUAÇÕES DIFERENCIAIS ORDINÁRIAS (ANÁLISE NUMÉRICA) larpcal PROBLEMAS DE CONTORNO larpcal TEORIA ASSINTOTICA (ANÁLISE NUMÉRICA) larpcal méthode numérique inriac perturbation singulière inriac équation différentielle inriac Differential equations Numerical solutions Perturbation (Mathematics) Störungstheorie (DE-588)4128420-3 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Singuläre Störung (DE-588)4055100-3 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Störungstheorie (DE-588)4128420-3 s Differentialgleichung (DE-588)4012249-9 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Singuläre Störung (DE-588)4055100-3 s O'Riordan, Eugene Verfasser aut Shishkin, Grigory I. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007259590&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Miller, John J. H. O'Riordan, Eugene Shishkin, Grigory I. Fitted numerical methods for singular perturbation problems error estimates in the maximum norm for linear problems in one and two dimensions EQUAÇÕES DIFERENCIAIS ORDINÁRIAS (ANÁLISE NUMÉRICA) larpcal PROBLEMAS DE CONTORNO larpcal TEORIA ASSINTOTICA (ANÁLISE NUMÉRICA) larpcal méthode numérique inriac perturbation singulière inriac équation différentielle inriac Differential equations Numerical solutions Perturbation (Mathematics) Störungstheorie (DE-588)4128420-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Singuläre Störung (DE-588)4055100-3 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4128420-3 (DE-588)4128130-5 (DE-588)4055100-3 (DE-588)4012249-9 |
| title | Fitted numerical methods for singular perturbation problems error estimates in the maximum norm for linear problems in one and two dimensions |
| title_auth | Fitted numerical methods for singular perturbation problems error estimates in the maximum norm for linear problems in one and two dimensions |
| title_exact_search | Fitted numerical methods for singular perturbation problems error estimates in the maximum norm for linear problems in one and two dimensions |
| title_full | Fitted numerical methods for singular perturbation problems error estimates in the maximum norm for linear problems in one and two dimensions J. J. H. Miller ; E. O'Riordan ; G. I. Shishkin |
| title_fullStr | Fitted numerical methods for singular perturbation problems error estimates in the maximum norm for linear problems in one and two dimensions J. J. H. Miller ; E. O'Riordan ; G. I. Shishkin |
| title_full_unstemmed | Fitted numerical methods for singular perturbation problems error estimates in the maximum norm for linear problems in one and two dimensions J. J. H. Miller ; E. O'Riordan ; G. I. Shishkin |
| title_short | Fitted numerical methods for singular perturbation problems |
| title_sort | fitted numerical methods for singular perturbation problems error estimates in the maximum norm for linear problems in one and two dimensions |
| title_sub | error estimates in the maximum norm for linear problems in one and two dimensions |
| topic | EQUAÇÕES DIFERENCIAIS ORDINÁRIAS (ANÁLISE NUMÉRICA) larpcal PROBLEMAS DE CONTORNO larpcal TEORIA ASSINTOTICA (ANÁLISE NUMÉRICA) larpcal méthode numérique inriac perturbation singulière inriac équation différentielle inriac Differential equations Numerical solutions Perturbation (Mathematics) Störungstheorie (DE-588)4128420-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Singuläre Störung (DE-588)4055100-3 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | EQUAÇÕES DIFERENCIAIS ORDINÁRIAS (ANÁLISE NUMÉRICA) PROBLEMAS DE CONTORNO TEORIA ASSINTOTICA (ANÁLISE NUMÉRICA) méthode numérique perturbation singulière équation différentielle Differential equations Numerical solutions Perturbation (Mathematics) Störungstheorie Numerisches Verfahren Singuläre Störung Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007259590&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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