On the diffusion algorithm for density-equalizing maps with piecewise constant initial data

Autor: Marta València, J. Solà-Morales, Albert Avinyo

Publikováno v: © Mathematical Methods in the Applied Sciences, 2012, vol. 35, núm. 10, p. 1234-1240
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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 an

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https://doi.org/10.1002/mma.2526

Lower bounds of Cheeger-Osserman type for the first eigenvalue of then-dimensional fixed membrane problem

Autor: Albert Avinyo, X. Mora

Publikováno v: ZAMP Zeitschrift f�r angewandte Mathematik und Physik. 41:426-430

In this note we derive new lower bounds for the first eigenvalue of the Laplacian in a boundedn-dimensional domain with Dirichlet boundary conditions. The lower bounds obtained are related to those of Cheeger (1970) [2] and Osserman (1977) [6], and t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fd24aeebcac3a3b8dd0204d8ca718e46
https://doi.org/10.1007/bf00959989