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 boundaryvalue 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
 ITFiEUI
 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 boundaryvalue problems  Finite difference approximation of parabolic problems  Finite difference approximation of hyperbolic problems
 Control code
 9781447154600
 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, noncommercial 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
 10.1007/9781447154600
 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 boundaryvalue problems  Finite difference approximation of parabolic problems  Finite difference approximation of hyperbolic problems
 Control code
 9781447154600
 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, noncommercial 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
 10.1007/9781447154600
 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 faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/AnalysisofFiniteDifferenceSchemesFor/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/AnalysisofFiniteDifferenceSchemesFor/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>