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A frequency analysis of finite difference and finite element methods for initial value problems

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Language
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 (8 pages) : illustrations
Note (type = special display note)
Technical report DCS-TR-36
Name (authority = RutgersOrg-School); (type = corporate)
NamePart
School of Arts and Sciences (SAS) (New Brunswick)
Name (authority = RutgersOrg-Department); (type = corporate)
NamePart
Computer Science (New Brunswick)
TypeOfResource
Text
TitleInfo
Title
A frequency analysis of finite difference and finite element methods for initial value problems
Abstract (type = abstract)
The popularity of finite element and spline methods has brought to the fore the need for criteria to compare the accuracy of computing algorithms. Several recent papers have addressed this problem, investigating the use of new analytical tools to achieve this goal (see e.g. Swartz and jWendroff (1974 a and b) Vichnevetsky (1973), Vichnevetsky, Tu and Steen (1974) Fix and Strang (1969)).

The approach used here consists in considering simple partial differential equations as typical models of more complex ones, and in showing that the error introduced by numerial approximations may be characterized, for those simple models by criteria which can be related to physical parameters of those equations. The mathematics are based onn the expression of solutions as a sum of space-sinusoidal components for which errors can be expressed as a function of the frequency.
Name (type = personal)
NamePart (type = family)
Vichnevetsky
NamePart (type = given)
Robert
Affiliation
Computer Science (New Brunswick)
Role
RoleTerm (authority = marcrt); (type = text)
author
Name (type = personal)
NamePart (type = family)
De Schutter
NamePart (type = given)
F.
Affiliation
Computer Science (New Brunswick)
Role
RoleTerm (authority = marcrt); (type = text)
author
OriginInfo
DateCreated (encoding = w3cdtf); (keyDate = yes); (qualifier = exact)
1975-07
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-t7nc-c009
Genre (authority = ExL-Esploro)
Technical Documentation
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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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Copyright protected
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Open
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Permission or license
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Technical

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Document
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