The development of numerical techniques for obtaining approximate solutions of partial differential equations has very much increased in the last decades. Among these techniques are the finite element methods and finite difference. Recently, wavelet methods are applied to the numerical solution of partial differential equations, pioneer works in this direction are those of Beylkin, Dahmen, Jaff...

Pierre van Elslande*, IFSTTAR, MA a , 304 Chemin de la Croix Blanche, 13300 Salon de Provence, France. Phone: (33) 4 90 56 86 19, Fax: (33) 4 90 56 86 18, [email protected] Jean-Yves Fournier, IFSTTAR, MA, 304 Chemin de la Croix Blanche, 13300 Salon de Provence, France. Phone: (33) 4 90 56 86 30, Fax: (33) 4 90 56 86 18, [email protected] Magali Jaffard, IFSTTAR, MA, 30...

We study the relationship between l-groups, Bézout domains, and MV -algebras. Our main motivation and starting point has been the Jaffard-Ohm correspondence between Abelian l-groups and Bézout domains ¶ μ 3 ́ Bézout domains with non-zero unit radical ¶ μ 3 ́ Unital l-groups ¶ μ 3 ́ MV -algebras ©© ©© ©© © HHHHHH ——————————– and Mundici’s equivalence between Abelian unital l-groups and MV -algebras...

A Wilson orthonormal basis was constructed in 1991 by I. Daubechies, S. Jaffard and J.L. Journé from Gabor tight frame elements, when the redundancy of the Gabor system is 2. In 1994 P. Auscher gave a characterization of the atoms for which the Wilson system is an orthonormal basis. Afterwards, K. Gröchenig posed a question whether the construction of an orthonormal Wilson basis is possible for...

The wavelet-based processing (WBP) method based on Meyer-Jaffard algorithm was implemented to simultaneously determine the thickness and velocity of thin cortical bone samples. Two groups of bovine samples were measured by one pair of immersion transducers with nominal frequency 2.25MHz. The WBP method was used to estimate the times of flight (TOF) of two pulses contained by one transmitted sig...

Accident studies emphasise the high frequency of perceptual errors made by car drivers when colliding with motorcycles (in 60 or 70% of these accidents, according to Van Elslande & Jaffard, 2010, and Hurt et al., 1981, respectively). The errors are identified as non (or late) detections of the motorcycle on the one hand (e.g., Cavallo & Pinto, 2012), and as a misperceptions of the motorcycle's ...