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Quantitative error analysis of numerical methods for partial differential equations

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LanguageTerm (authority = ISO 639-3:2007); (type = text)
English
Genre (authority = RULIB-FS)
Other
Genre (authority = marcgt)
technical report
PhysicalDescription
InternetMediaType
application/pdf
Extent
1 online resource (6 pages)
Note (type = special display note)
Technical report DCS-TR-28
Name (type = corporate); (authority = RutgersOrg-School)
NamePart
School of Arts and Sciences (SAS) (New Brunswick)
Name (type = corporate); (authority = RutgersOrg-Department)
NamePart
Computer Science (New Brunswick)
TypeOfResource
Text
TitleInfo
Title
Quantitative error analysis of numerical methods for partial differential equations
Abstract (type = abstract)
The classical theory of numerical methods for partial differential equations is concerned to a large extent with problems of consistency, stability and convergence of algorithms. While these aspects of the theory are useful in establishing the validity of difference approximations, they fail to provide quantitative measures of errors which may be used in practice to characterize the effect of truncation. Nor do they provide relevant criteria whereby a specified accuracy requirement in a numerical solution may be converted into the choice of algorithms and/or the choice of grid sizes. When one attempts to develop such criteria, one readily finds out that they are very much dependent upon the initial and boundary conditions of the problem: by contrast, the classical properties of consistency, stability and convergence depend upon those initial/boundary conditions in a much weaker sense. It also becomes readily apparent that something other than the conventional tools must be used to perform such quantative error analyses. One approach to this problem, which has proved to be useful in several case studies, is outlined in the remainder of this paper.
Name (type = personal)
NamePart (type = family)
Vichnevetsky
NamePart (type = given)
Robert
Affiliation
Computer Science (New Brunswick)
Role
RoleTerm (type = text); (authority = marcrt)
author
Name (type = personal)
NamePart (type = family)
Tu
NamePart (type = given)
Kai-Wen
Affiliation
Computer Science (New Brunswick)
Role
RoleTerm (type = text); (authority = marcrt)
author
Name (type = personal)
NamePart (type = family)
Steen
NamePart (type = given)
J.A.
Affiliation
Computer Science (New Brunswick)
Role
RoleTerm (type = text); (authority = marcrt)
author
OriginInfo
DateCreated (encoding = w3cdtf); (qualifier = exact); (keyDate = yes)
1974-03
RelatedItem (type = host)
TitleInfo
Title
Computer Science (New Brunswick)
Identifier (type = local)
rucore21032500001
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier (type = doi)
doi:10.7282/t3-dk38-w571
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This Item is protected by copyright and/or related rights.You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use.For other uses you need to obtain permission from the rights-holder(s).
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Open
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Technical

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Document
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