1,267 research outputs found

    Remarks on two integral operators and numerical methods for CSIE

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    In this paper the author extends the mapping properties of some singular integral operators in Zygmund spaces equipped with uniform norm. As by-product quadrature methods for solving CSIE having index 00 and 11 are proposed. Their stability and convergence are proved and error estimates in Zygmund norm are given. Some numerical tests are also shown

    Mustelictis olivieri Bonis 1997

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    <i>Mustelictis</i> aff. <i>olivieri</i> Bonis, 1997 <p>(Figs 4 C-E, G; 5F)</p> <p>TYPE SPECIMEN. — Holotype: skull, UP MGB60, by author designation; paratype: hemi-mandible, UP MGB 7.</p> <p>NEW MATERIAL. — Left m1, LPL11; left fragment of hemi-mandible, UP LPL12; right m1, UM VBOA 3-4; fragment of right hemi-mandible p2-p4, UM VD 12; left P4, VBO 494.</p> <p>REMARKS</p> <p>The holotype and paratype of the species come from Mas de Got (MP 22). A skull and a hemi-mandible (paratype) were figured by Bonis (1997: figs 1, 2). New research has recovered additional specimens in other localities.</p> <p>DESCRIPTION</p> <p>The premolars are present in UP LPL12 and UM VD12 and all of them have cutting mesial and distal edges. The p2 is dissymmetric, the mesial part being smaller than the distal</p> <p> one and having a more sloping mesial edge, the distal one finishing by a small upturned spur at its base. The p3, less dissymmetric than p2, displays a mesial spur; distally there is a small talonid with a small fovea surrounded by a low cristid; there is also a small pacd at mid-height on the distal edge (Fig. 4G 1, G 2). The p4 is similar to p3 but is larger. The carnassial is very similar to that of the type of <i>M</i>. <i>olivieri</i> but the talonid is less narrow. The m2 is larger than in the type in both absolute size and relative to m1; it has a complete trigonid with high protoconid and metaconid and small but clear paraconid, and a narrow talonid (Fig. 4B). The isolated P4 (VBO 494) figured by Peigné <i>et al.</i> (2014: fig. 22a) is close to that of the type specimen from Mas de Got, with a mesio-lingually elongate protocone finishing by a conic cusp, a buccal cingulum and a small mesial bulging representing a parastyle (Fig. 5F). These remains are close to the material of <i>M</i>. <i>olivieri</i> (Fig. 4F 1, F 2) but the small differences lead us to be cautious about the identification. They could be due to a small difference in the geological age between two localities of MP 22.</p>Published as part of <i>Bonis, Louis de, Gardin, Axelle & Blondel, Cécile, 2019, Carnivora from the early Oligocene of the ' Phosphorites du Quercy' in southwestern France, pp. 601-621 in Geodiversitas 41 (15)</i> on pages 614-615, DOI: 10.5252/geodiversitas2019v41a15, <a href="http://zenodo.org/record/3694209">http://zenodo.org/record/3694209</a&gt

    Assessing the performance of social spending in Europe

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    Based on the construction of a new composite index to assess the relative performance of welfare policies, we show that the variability of performances cannot be explained only by the amount of resources devoted to social policies, but also by its composition: countries with higher shares of social public expenditure, specifically aimed at reducing income concentration, obtain better results. This associates the traditional classification of the welfare systems to the performance obtained in the social sector

    Projection methods and condition numbers in uniform norm for Fredholm and Cauchy singular integral equations.

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    In this paper the authors propose a numerical method for the approximate solution of some classes of Fredholm and Cauchy integral equations including the “discrete collocation” and “collocation” methods

    Nyström method for systems of integral equations on the real semiaxis

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    In this paper, the authors introduce a Nystrom method for solving systems of Fredholm integral equations on the real semiaxis. They prove that the method is stable and convergent. Moreover, they show some numerical tests that confirm the error estimates. Finally, they discuss a specific application to an inverse scattering problem for the Schrodinger equation
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