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The Resource Analysis of Finite Difference Schemes : For Linear Partial Differential Equations with Generalized Solutions, by Boško S. Jovanović, Endre Süli, (electronic resource)

Analysis of Finite Difference Schemes : For Linear Partial Differential Equations with Generalized Solutions, by Boško S. Jovanović, Endre Süli, (electronic resource)

Creator
Author
Contributor
Summary
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
Language
eng
Work
Publication
Extent
XIII, 408 pages 7 illustrations
Contents
  • Distributions and function spaces
  • Elliptic boundary-value problems
  • Finite difference approximation of parabolic problems
  • Finite difference approximation of hyperbolic problems
Isbn
9781447154600
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-1-4471-5460-0
Instance
Label
Analysis of Finite Difference Schemes : For Linear Partial Differential Equations with Generalized Solutions
Title
Analysis of Finite Difference Schemes
Title remainder
For Linear Partial Differential Equations with Generalized Solutions
Statement of responsibility
by Boško S. Jovanović, Endre Süli
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
IT-FiEUI
http://library.link/vocab/creatorName
Jovanović, Boško S
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorDate
1956-.
http://library.link/vocab/relatedWorkOrContributorName
  • Süli, Endre
  • SpringerLink (Online service)
Series statement
  • Springer Series in Computational Mathematics,
  • Springer eBooks
Series volume
46
http://library.link/vocab/subjectName
  • Mathematics
  • Differential equations, Partial
  • Numerical analysis
Label
Analysis of Finite Difference Schemes : For Linear Partial Differential Equations with Generalized Solutions, by Boško S. Jovanović, Endre Süli, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-1-4471-5460-0
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Distributions and function spaces -- Elliptic boundary-value problems -- Finite difference approximation of parabolic problems -- Finite difference approximation of hyperbolic problems
Control code
978-1-4471-5460-0
Dimensions
unknown
Extent
XIII, 408 pages 7 illustrations
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781447154600
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-1-4471-5460-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)863823003
Label
Analysis of Finite Difference Schemes : For Linear Partial Differential Equations with Generalized Solutions, by Boško S. Jovanović, Endre Süli, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-1-4471-5460-0
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Distributions and function spaces -- Elliptic boundary-value problems -- Finite difference approximation of parabolic problems -- Finite difference approximation of hyperbolic problems
Control code
978-1-4471-5460-0
Dimensions
unknown
Extent
XIII, 408 pages 7 illustrations
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781447154600
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-1-4471-5460-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)863823003

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