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A class of variable mesh multistep methods for solving simultaneous nonlinear equations

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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 (20 pages)
Note (type = special display note)
Technical report DCS-TR-27
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 class of variable mesh multistep methods for solving simultaneous nonlinear equations
Abstract (type = abstract)
In a recent paper P.T. Boggs has demonstrated the use of fixed mesh A-stable integration techniques in solving simultaneous nonlinear equations. This paper treats a class of variable mesh multistep methods. The affect of slap size chinge on convergence is examined closely. It is shown that with suitable control on step size change a variable mesh linear multistep method is convergent if the underlying fixed mesh method satisfy certain conditions. Implicit and explicit Adams methods of order less than five and three satisfy these requirements readily. Finally the effectiveness of the proposed method: are demonstrated in numerical tostings using a practical algorithm for automatic step size control.
Name (type = personal)
NamePart (type = family)
Tu
NamePart (type = given)
Kai-Wen
Affiliation
Computer Science (New Brunswick)
Role
RoleTerm (authority = marcrt); (type = text)
author
OriginInfo
DateCreated (encoding = w3cdtf); (keyDate = yes); (qualifier = approximate)
1973-09
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/t3-1xph-y665
Genre (authority = ExL-Esploro)
Technical Documentation
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Copyright protected
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Open
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Technical

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ContentModel
Document
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