Estimating the Error of Numerical Solutions of Systems of Reaction-Diffusion Equations. (Record no. 70078)
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| 001 - CONTROL NUMBER | |
| control field | EBC3114583 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124612.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2000 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470402877 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821820728 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114583 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114583 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11041361 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922965016 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA377 -- .E88 2000eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 s;515/.353 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Estep, Donald J. |
| 245 10 - TITLE STATEMENT | |
| Title | Estimating the Error of Numerical Solutions of Systems of Reaction-Diffusion Equations. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2000. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2000. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (125 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.146 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Chapter 1. Introduction -- 1.1. Numerical analysis and reaction-diffusion equations -- 1.2. The limitations of classic a priori error analysis -- 1.3. What we do and don't do in this paper -- 1.4. A brief overview of related work -- 1.5. The plan of the paper -- Acknowledgments -- Chapter 2. A framework for a posteriori error estimation -- 2.1. The continuous problem and its discretization -- 2.2. The residual error -- 2.3. The dual problem and a formula for the error -- 2.4. The stability factors and the a posteriori error estimate -- Chapter 3. The size of the residual errors and stability factors -- 3.1. The size of the residual errors -- 3.2. The size of the stability factors -- 3.3. Application of the analysis to systems with constant diffusion -- 3.4. The a posteriori estimate and convergence -- Chapter 4. Computational error estimation -- 4.1. Two examples and a stability factor gallery -- 4.2. Choosing data for the dual problem -- 4.3. Linearization and the approximate dual problem -- 4.4. A test of the accuracy and reliability of the error estimate -- 4.5. Some details of implementation -- 4.6. Numerical results for the nine models -- Chapter 5. Preservation of invariant rectangles under discretization -- 5.1. Invariant rectangles and convergence -- 5.2. Preservation of a "fuzzy" invariant rectangle -- 5.3. Exact preservation of an invariant rectangle -- Chapter 6. Details of the analysis in Chapter 2 -- Chapter 7. Details of the analysis in Chapter 3 -- Chapter 8. Details of the analysis in Chapter 5 -- Bibliography. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Reaction-diffusion equations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Numerical calculations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Error analysis (Mathematics). |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Larson, Mats G. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Williams, Roy D. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Estep, Donald J. |
| Title | Estimating the Error of Numerical Solutions of Systems of Reaction-Diffusion Equations |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2000 |
| International Standard Book Number | 9780821820728 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114583">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114583</a> |
| Public note | Click to View |
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