Fitted numerical methods for singular perturbation problems: error estimates in the maximum norm for linear problems in one and two dimensions
Since the first edition of this book, the literature on fitted mesh methods for singularly perturbed problems has expanded significantly. Over the intervening years, fitted meshes have been shown to be effective for an extensive set of singularly perturbed partial differential equations. In the revi...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2012
|
| Edition: | Rev. ed |
| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | Since the first edition of this book, the literature on fitted mesh methods for singularly perturbed problems has expanded significantly. Over the intervening years, fitted meshes have been shown to be effective for an extensive set of singularly perturbed partial differential equations. In the revised version of this book, the reader will find an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. The global errors in the numerical approximations are measured in the pointwise maximum norm. The fitted mesh algorithm is particularly simple to implement in practice, but the theory of why these numerical methods work is far from simple. This book can be used as an introductory text to the theory underpinning fitted mesh methods |
| Physical Description: | xiv, 176 p. ill |
| ISBN: | 9789814390743 |
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Record in the Search Index
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|---|---|
| any_adam_object | |
| author | Miller, John J. H. |
| author_facet | Miller, John J. H. |
| author_role | aut |
| author_sort | Miller, John J. H. |
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| dewey-full | 515.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-raw | 515.35 |
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| discipline | Mathematik |
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| format | Electronic eBook |
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| id | DE-604.BV044638865 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:54Z |
| institution | BVB |
| isbn | 9789814390743 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030036836 |
| oclc_num | 1012642600 |
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| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xiv, 176 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| 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 Rev. ed Singapore World Scientific Pub. Co. c2012 xiv, 176 p. ill txt rdacontent c rdamedia cr rdacarrier Since the first edition of this book, the literature on fitted mesh methods for singularly perturbed problems has expanded significantly. Over the intervening years, fitted meshes have been shown to be effective for an extensive set of singularly perturbed partial differential equations. In the revised version of this book, the reader will find an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. The global errors in the numerical approximations are measured in the pointwise maximum norm. The fitted mesh algorithm is particularly simple to implement in practice, but the theory of why these numerical methods work is far from simple. This book can be used as an introductory text to the theory underpinning fitted mesh methods Differential equations / Numerical solutions Perturbation (Mathematics) 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 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Singuläre Störung (DE-588)4055100-3 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Störungstheorie (DE-588)4128420-3 s 2\p DE-604 O'Riordan, E. Sonstige oth Shishkin, G. I. Sonstige oth Erscheint auch als Druck-Ausgabe 9789814390736 Erscheint auch als Druck-Ausgabe 9814390739 http://www.worldscientific.com/worldscibooks/10.1142/8410#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Miller, John J. H. Fitted numerical methods for singular perturbation problems error estimates in the maximum norm for linear problems in one and two dimensions Differential equations / Numerical solutions Perturbation (Mathematics) Numerisches Verfahren (DE-588)4128130-5 gnd Singuläre Störung (DE-588)4055100-3 gnd Differentialgleichung (DE-588)4012249-9 gnd Störungstheorie (DE-588)4128420-3 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4055100-3 (DE-588)4012249-9 (DE-588)4128420-3 |
| 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 | Differential equations / Numerical solutions Perturbation (Mathematics) Numerisches Verfahren (DE-588)4128130-5 gnd Singuläre Störung (DE-588)4055100-3 gnd Differentialgleichung (DE-588)4012249-9 gnd Störungstheorie (DE-588)4128420-3 gnd |
| topic_facet | Differential equations / Numerical solutions Perturbation (Mathematics) Numerisches Verfahren Singuläre Störung Differentialgleichung Störungstheorie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8410#t=toc |
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