Analysis of finite difference schemes: for linear partial differential equations with generalized solutions (Record no. 61575)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02303 a2200241 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250129b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781447172598 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.353 JOV |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Jovanović, Boško S. |
| 245 ## - TITLE STATEMENT | |
| Title | Analysis of finite difference schemes: for linear partial differential equations with generalized solutions |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | London: |
| Name of publisher, distributor, etc | Springer , |
| Date of publication, distribution, etc | 2014 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | ix, 408p.: |
| Other physical details | hbk.: |
| Dimensions | 23 cm. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Springer Series in Computational Mathematics Vol. 46 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes Bibliographical References and Index |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions.<br/><br/>Finite difference methods are a classical class of techniques for the numerical approximation of partial differential equations. Traditionally, their convergence analysis presupposes the smoothness of the coefficients, source terms, initial and boundary data, and of the associated solution to the differential equation. This then enables the application of elementary analytical tools to explore their stability and accuracy. The assumptions on the smoothness of the data and of the associated analytical solution are however frequently unrealistic. There is a wealth of boundary – and initial – value problems, arising from various applications in physics and engineering, where the data and the corresponding solution exhibit lack of regularity.<br/><br/>In such instances classical techniques for the error analysis of finite difference schemes break down. The objective of this book is to develop the mathematical theory of finite difference schemes for linear partial differential equations with nonsmooth solutions.<br/><br/>Analysis of Finite Difference Schemes is aimed at researchers and graduate students interested in the mathematical theory of numerical methods for the approximate solution of partial differential equations.<br/><br/>https://link.springer.com/book/10.1007/978-1-4471-5460-0 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Numerical Analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Computational Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Partial Differential Equations |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Energy Estimates |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Error Analysis |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Süli, Endre |
| Relator term | Co-author |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Item type | Books |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Date last borrowed | Copy number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | General | IIT Gandhinagar | IIT Gandhinagar | 28/01/2025 | CBS Publishers | 8906.11 | 1 | 515.353 JOV | 035059 | 20/11/2025 | 07/07/2025 | 1 | 8906.11 | Books |