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Group Velocity and Reflection Phenomena in Numerical Approximations of Hyperbolic Equations: a Survey

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LanguageTerm (authority = ISO 639-3:2007); (type = text)
English
Genre (authority = RULIB-FS)
Other
Genre (authority = marcgt)
technical report
PhysicalDescription
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application/pdf
Extent
49 p.
Note (type = special display note)
Technical report DCS-TR-116
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)
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Text
TitleInfo
Title
Group Velocity and Reflection Phenomena in Numerical Approximations of Hyperbolic Equations: a Survey
Abstract (type = abstract)
Recent analyses of spurious phenomena near interfaces and boundaries of numerical approximations of hyperbolic equations have produced a host of interesting, concrete results, which are reviewed in this paper. What characterizes these analyses is that they rely on tools of mathematical physics, in particular in the systematic use of Fourier transforms and the concept of sinusoidal wave propagation this leads to a description of numerical inaccuracy in terms of dispersion, and a description of spurious numerical solutions in terms of wave packets and group velocities. It is in providing the mathematics needed to describe spurious reflection at numerical boundaries and at interfaces in mesh refinement that the most applied results of this theory are obtained.
Name (type = personal)
NamePart (type = family)
Vichnevetsky
NamePart (type = given)
Robert
Affiliation
Computer Science (New Brunswick)
Role
RoleTerm (type = text); (authority = marcrt)
author
OriginInfo
DateCreated (encoding = w3cdtf); (qualifier = exact); (keyDate = yes)
1982-03
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/T3TT4VGZ
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Technical

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Document
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