Analysis of Finite Difference Schemes (Record no. 91890)
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000 -LEADER | |
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fixed length control field | 03322nam a22004815i 4500 |
001 - CONTROL NUMBER | |
control field | 978-1-4471-5460-0 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20140220082456.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 131021s2014 xxk| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9781447154600 |
-- | 978-1-4471-5460-0 |
024 7# - OTHER STANDARD IDENTIFIER | |
Standard number or code | 10.1007/978-1-4471-5460-0 |
Source of number or code | doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA297-299.4 |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBKS |
Source | bicssc |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT021000 |
Source | bisacsh |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT006000 |
Source | bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 518 |
Edition number | 23 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Jovanović, Boško S. |
Relator term | author. |
245 10 - TITLE STATEMENT | |
Title | Analysis of Finite Difference Schemes |
Medium | [electronic resource] : |
Remainder of title | For Linear Partial Differential Equations with Generalized Solutions / |
Statement of responsibility, etc | by Boško S. Jovanović, Endre Süli. |
264 #1 - | |
-- | London : |
-- | Springer London : |
-- | Imprint: Springer, |
-- | 2014. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | XIII, 408 p. 7 illus. |
Other physical details | online resource. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
490 1# - SERIES STATEMENT | |
Series statement | Springer Series in Computational Mathematics, |
International Standard Serial Number | 0179-3632 ; |
Volume number/sequential designation | 46 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Distributions and function spaces -- Elliptic boundary-value problems -- Finite difference approximation of parabolic problems -- Finite difference approximation of hyperbolic problems. |
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. 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. 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. 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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Differential equations, partial. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Numerical analysis. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Numerical Analysis. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Partial Differential Equations. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Süli, Endre. |
Relator term | author. |
710 2# - ADDED ENTRY--CORPORATE NAME | |
Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY | |
Title | Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9781447154594 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Springer Series in Computational Mathematics, |
-- | 0179-3632 ; |
Volume number/sequential designation | 46 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://dx.doi.org/10.1007/978-1-4471-5460-0 |
912 ## - | |
-- | ZDB-2-SMA |
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