Carregant...
Carregant...

Vés al contingut (premeu Retorn)

A singular initial value problem to construct density-equalizing maps

Autor
Avinyó, A.; Sola-morales, J.; Valencia, M.
Tipus d'activitat
Article en revista
Revista
Journal of dynamics and differential equations
Data de publicació
2011-12
Volum
24
Número
1
Pàgina inicial
51
Pàgina final
59
DOI
https://doi.org/10.1007/s10884-011-9236-z Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/15270 Obrir en finestra nova
URL
http://www.springerlink.com/content/w8832l0468855316/ Obrir en finestra nova
Resum
The diffusion-based algorithm to produce density-equalizing maps interprets diffusion as an advection process. This algorithm uses the dynamics of a flow that is defined by an initial value problem that turns out to be very singular at the initial time. The singularities appear when the initial density has line or angle discontinuities, which is always the case, for example, in area cartogram maps. This singular initial value problem is analyzed mathematically in this article and the conclusion ...
Citació
Avinyó, A.; De Solà-Morales, J.; València, M. A singular initial value problem to construct density-equalizing maps. "Journal of dynamics and differential equations", Desembre 2011, vol. 24, núm. 1, p. 51-59.
Paraules clau
Cartogram, Density equalizing map, Diffusion algorithm, Singular initial value problem
Grup de recerca
EDP - Equacions en Derivades Parcials i Aplicacions

Participants