MARC details
| 000 -LEADER |
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| fixed length control field |
03911cam a2200433 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
17896492 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20220315144905.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
130924s2012 njua b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2013443448 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789814390736 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9814390739 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
DLC |
| Modifying agency |
DLC |
| 042 ## - AUTHENTICATION CODE |
|---|
| Authentication code |
pcc |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA377 |
| Item number |
.M54 2012 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515.352 |
| Edition number |
23 |
| Item number |
MIL |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Miller, J. J. H. |
| 245 10 - TITLE STATEMENT |
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| Title |
Fitted numerical methods for singular perturbation problems : |
| Remainder of title |
error estimates in the maximum norm for linear problems in one and two dimensions / |
| Statement of responsibility, etc. |
J.J.H. Miller, Trinity College, Dublin, Ireland, E. O'Riordan, Dublin city University, Ireland, G.I. Shishkin, Russian Academy of Sciences, Russia. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
Revised edition. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
New Jersy: |
| Name of publisher, distributor, etc. |
World Scientific, |
| Date of publication, distribution, etc. |
©2012. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Page number |
xiv, 176 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
24 cm |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Title |
1. Motivation for the study of singular perturbation problems --<br/> |
| -- |
2. Simple examples of singular perturbation problems --<br/> |
| -- |
3. Numerical methods for singular perturbation problems --<br/> |
| -- |
4. Simple fitted operator methods in one dimension --<br/> |
| -- |
5. Simple fitted mesh methods in one dimension --<br/> |
| -- |
6. Convergence of fitted mesh finite difference methods for linear reaction-diffusion problems in one dimension --<br/> |
| -- |
7. Properties of upwind finite difference operators on piecewise uniform fitted meshes --<br/> |
| -- |
8. Convergence of fitted mesh finite difference methods for linear convection-diffusion problems in one dimension --<br/> |
| -- |
9. Fitted mesh finite element methods for linear convection-diffusion problems in one dimension --<br/> |
| -- |
10. Convergence of Schwarz iterative methods for fitted mesh methods in one dimension --<br/> |
| -- |
11. Linear convection-diffusion problems in two dimensions and their numerical solution --<br/> |
| -- |
12. Bounds on the derivatives of solutions of linear convection-diffusion problems in two dimensions with regular boundary layers --<br/> |
| -- |
13. Convergence of fitted mesh finite difference methods for linear convection-diffusion problems in two dimensions with regular boundary layers --<br/> |
| -- |
14. Limitations of fitted operator methods on uniform rectangular meshes for problems with parabolic boundary layers --<br/> |
| -- |
15. Fitted numerical methods for problems with initial and parabolic boundary layers. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Differential equations |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Perturbation (Mathematics) |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
O'Riordan, E. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Shishkin, G. I., |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Fuller form of name |
(John James Henry), |
| Dates associated with a name |
1937- |
| Relator term |
author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Hackensack, New Jersey : |
| Name of producer, publisher, distributor, manufacturer |
World Scientific, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2012] |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
unmediated |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
volume |
| Source |
rdacarrier |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Includes bibliographical references (pages 169-173) and index. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| General subdivision |
Numerical solutions. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Fuller form of name |
(Eugene), |
| Relator term |
author. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Relator term |
author. |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
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| a |
7 |
| b |
cbc |
| c |
origcop |
| d |
2 |
| e |
ncip |
| f |
20 |
| g |
y-gencatlg |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) |
|---|
| -- |
4773 |
