A Singular Initial Value Problem to Construct Density-Equalizing Maps

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 dens...

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Veröffentlicht in:	Journal of dynamics and differential equations 2012-03, Vol.24 (1), p.51-59
Hauptverfasser:	Avinyó, A., Solà-Morales, J., València, M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Cartogram Density equalizing map Differential equations Diffusion algorithm Equacions diferencials parcials Matemàtiques i estadística Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Singular initial value problem Àrees temàtiques de la UPC
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