Ítem
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Ministerio de Ciencia e Innovación (Espanya)
Generalitat de Catalunya. Agència de Gestió d’Ajuts Universitaris i de Recerca |
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Avinyó Andrés, Albert
Solà-Morales i Rubió, Joan de València i Guitart, Marta |
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We 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) This work was partially supported by grants from the Spanish Government (MTM2008-06349-C03-01, MTM2011-27739-C04-01, and MTM2011-27739-C04-03) and the Catalan Government (2009SGR345) |
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| http://hdl.handle.net/2072/296506 | |
| eng | |
| Wiley | |
| Tots els drets reservats | |
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Funcional de densitat, Teoria del
Density functionals Equacions funcionals Functional equations |
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| On the diffusion algorithm for density-equalizing maps with piecewise constant initial data | |
| info:eu-repo/semantics/article | |
| Recercat |
