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dc.contributor.authorAvinyó Andrés, Albert
dc.contributor.authorSolà-Morales Rubió, Joan de
dc.contributor.authorValència Guitart, Marta
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2012-10-09T11:15:43Z
dc.date.created2012-07-15
dc.date.issued2012-07-15
dc.identifier.citationAvinyó, A.; De Solà-Morales, J.; València, M. On the diffusion algorithm for density-equalizing maps with piecewise constant initial data. "Mathematical methods in the applied sciences", 15 Juliol 2012, vol. 35, núm. 10, p. 1234-1240.
dc.identifier.issn0170-4214
dc.identifier.urihttp://hdl.handle.net/2117/16684
dc.description.abstractWe mathematically analyze the diffusion-based algorithm to produce maps with a given Jacobian, introduced independently by M. T. Gastner and M. E. J. Newman (2004) and ourselves (2003), but in particular cases where the initial density has line or angle discontinuities in the plane. In this situation, the conclusion reinforces the conjecture that the algorithm is always well-posed, in accordance with its extensive numerical use in some areas of applied sciences (cartograms, sensor networks, computational grids, or image registration).
dc.format.extent7 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshFlow maps
dc.subject.otheradvection process
dc.subject.otheranalytic solution
dc.subject.othercartograms
dc.subject.otherdensity-equalizing map
dc.subject.otherdiffusion-based algorithm
dc.subject.othersingular initial data
dc.titleOn the diffusion algorithm for density-equalizing maps with piecewise constant initial data
dc.typeArticle
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.identifier.doi10.1002/mma.2526
dc.description.peerreviewedPeer Reviewed
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac10681385
dc.description.versionPostprint (published version)
dc.date.lift10000-01-01
local.citation.authorAvinyó, A.; De Solà-Morales, J.; València, M.
local.citation.publicationNameMathematical methods in the applied sciences
local.citation.volume35
local.citation.number10
local.citation.startingPage1234
local.citation.endingPage1240


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