Analysis of finite difference schemes: for linear partial differential equations with generalized solutions (Record no. 61575)

MARC details
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fixed length control field 02303 a2200241 4500
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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
Holdings
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


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