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)
Resource Information
The item Analysis of Finite Difference Schemes : For Linear Partial Differential Equations with Generalized Solutions, by Boško S. Jovanović, Endre Süli, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Analysis of Finite Difference Schemes : For Linear Partial Differential Equations with Generalized Solutions, by Boško S. Jovanović, Endre Süli, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
- 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
- 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
- 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
- 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
- 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)
- 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)
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/portal/Analysis-of-Finite-Difference-Schemes--For/y_uz5cJEask/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/Analysis-of-Finite-Difference-Schemes--For/y_uz5cJEask/">Analysis of Finite Difference Schemes : For Linear Partial Differential Equations with Generalized Solutions, by Boško S. Jovanović, Endre Süli, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>
