277 research outputs found

    On the numerical stability of linear barycentric rational interpolation

    No full text
    The barycentric forms of polynomial and rational interpolation have recently gained popularity, because they can be computed with simple, efficient, and numerically stable algorithms. In this paper, we show more generally that the evaluation of any function that can be expressed as r (x) = Sigma(n)(i=0) a(i) (x) f(i) / Sigma(m)(j=0) b(j) (x) in terms of data values f(i) and some functions a(i) and b(j) for i = 0, ..., n and j = 0, ..., m with a simple algorithm that first sums up the terms in the numerator and the denominator, followed by a final division, is forward and backward stable under certain assumptions. This result includes the two barycentric forms of rational interpolation as special cases. Our analysis further reveals that the stability of the second barycentric form depends on the Lebesgue constant associated with the interpolation nodes, which typically grows with n, whereas the stability of the first barycentric form depends on a similar, but different quantity, that can be bounded in terms of the mesh ratio, regardless of n. We support our theoretical results with numerical experiments.The barycentric forms of polynomial and rational interpolation have recently gained popularity, because they can be computed with simple, efficient, and numerically stable algorithms. In this paper, we show more generally that the evaluation of any function that can be expressed as r (x) = Sigma(n)(i=0) a(i) (x) f(i) / Sigma(m)(j=0) b(j) (x) in terms of data values f(i) and some functions a(i) and b(j) for i = 0, ..., n and j = 0, ..., m with a simple algorithm that first sums up the terms in the numerator and the denominator, followed by a final division, is forward and backward stable under certain assumptions. This result includes the two barycentric forms of rational interpolation as special cases. Our analysis further reveals that the stability of the second barycentric form depends on the Lebesgue constant associated with the interpolation nodes, which typically grows with n, whereas the stability of the first barycentric form depends on a similar, but different quantity, that can be bounded in terms of the mesh ratio, regardless of n. We support our theoretical results with numerical experiments

    Recent dense water formation in the Med western basin, as observed by HYDROCHANGES

    No full text
    Fuda, J. L. ... et al.-- Dynamics of Mediterranean deep waters, 27-30 May 2009, Malta.-- 5 pages, 4 figuresInitiated in 2002, HydroChanges (HC) is one of the eight international programs supported by CIESM. It consists in a network of accurate autonomous SBE37 CTDs deployed in selected Mediterranean key-sites, with a typical 1-hr sampling interval. In order to make deployments/recoveries as easy as possible, even from small ships, the CTDs are generally set on short moorings, so that they sample at ~10-20 m above the seafloor, most often associated with a current-meter. Moorings are serviced locally by individual partners every 1-2 years. Although the primary goal of HC is to monitor long-term variability, we illustrate in this paper the relevance of HC strategy also for accurately detecting, characterizing and monitoring effects of Dense Water Formation (DWF) processes in the western basin of the MedPeer Reviewe

    Differences in soundscape appreciation of walking sounds from different footpath materials in urban parks

    No full text
    The perception of the acoustic environment, namely the soundscape, in urban parks has attracted increasing attention. There is a growing belief that the management of the acoustic environment of urban parks should be addressed within a broader soundscape methodology rather than a merely noise control one. One of the most frequent sound sources in urban parks is walking sound; however walking sound perception so far has mainly been investigated for indoor environments. This paper aims to investigate the overall effect of walking sounds from different walked-on materials on people's soundscape, combined with other non-acoustical factors. Moreover, this research investigates how perception varies when the walking sound is self-produced or simply listened. To this purpose, two laboratory experiments in Italy and UK were carried out with four walked-on materials that were considered to be possible design solutions for the footpaths of urban parks: grass, wood, stone and gravel. Results showed a significant effect of materials on perceived noise annoyance and soundscape quality, as well as a partial influence of other nonacoustical factor. Considering the individual responses for the four selected materials, gravel was associated to the worst soundscape quality (M = 38.42) while grass to the best one (M = 65.05). While a group effect (Italian and UK samples) was observed for perceived noise annoyance corresponding to the materials, no significant group effect was found for soundscape evaluation. Eventually, people simply listening to the walking sounds resulted to be less tolerant towards them, with respect to people who self-produced the sounds by walking

    The Benthic Boundary Layer: geochemical and oceanographic data from the GEOSTAR-2 Observatory RID H-3343-2011

    No full text
    Geochemical and oceanographic data, acquired throughout 6 months by the GEOSTAR-2 benthic observatory in Southern Tyrrhenian Sea, disclosed ocean-lithosphere interactions in the 1900-m deep Benthic Boundary Layer (BBL), distinguishing two water masses with different origin and, possibly, benthic residence time. Gas concentration, helium isotopic ratios, radioactivity, temperature, salinity and vertical component of the current converged towards the indication of a BBL characterised by a colder and fresher Western Water (WW), episodically displaced by the cascading of the warmer and saltier Eastern Overflow Water (EOW). The benthic WW has a higher concentration of geochemical tracers diffusing from the seafloor sediments. The data set shows the potential of long-term, continuous and multiparametric monitoring in providing unique information which cannot be acquired by traditional, short-term or single-sensor investigations

    Timbalès (Température et Imagerie. Mesures à profondeur Bulk par Avance en Ligne d’une Escadrille à Submeso-échelle)

    No full text
    National audienceNotre projet concerne le développement d’un jeu de dix drones de surface motorisés et coordonnés pour mesurer les variations spatiales de la température de surface de la mer, et fournir pour la première fois des champs de température superficielle de la mer à dix mètres de résolution sur une zone de 50 m x 50 m avec une précision de 0.002°C, et à 10 cm de profondeur, ce qui est sans précédent, au mieux de notre connaissance.On espère ainsi visualiser des variations spatiales de sub-submesoéchelle correspondant soit à des circulations de Langmuir sous l’effet de convergence-divergence du courant de surface généré par le vent, soit à des tourbillons en température, soit à des schémas spatiaux de température de surface correspondant à des risées, à des plumes ou thermiques (wind gustiness), ou à des phénomènes de circulation océanique de surface.Le projet est initié, un prototype a déjà été réalisé, un second prototype est en cours de réalisation, et la demande que nous soumettons ici à LEFE-IMAGO porte sur l’extension du projet à une flotte de dix drones.Référence : Puigserver Cécile, Denis Bourras, Luneau Christopher, Jean-Luc Fuda, Hubert Branger, et al.. Observation des variations spatiales de la SST à sub meso-échelle : quelle stratégie de mesure adopter ? AEI 2019, Atelier d’Expérimentation et d’Instrumentation de l’INSU, Jul 2019, Lille, France. ⟨hal-02373301

    2003-2013, a valuable study: Autologous tumor lysate-pulsed dendritic cell immunotherapy with cytokine-induced killer cells improves survival in stage IV breast cancer

    No full text
    Dendritic cells (DCs) and cytokine-induced killer (CIK) cells have both shown activity as immunotherapy in some malignancies. Our aim was to prospective assess the effect of this immunotherapy in patients with stage IV breast cancer. Between Aug 2003 and Dec 2013, we collected 368 patients who met inclusion criteria and divided into immunotherapy group (treatment group: 188 patients) and chemotherapy group (control group: 180 patients). DCs were prepared from the mononuclear cells isolated from patients in the treatment group using IL-2/GM-CSF and were loaded with tumour antigens; CIK cells were prepared by incubating peripheral blood lymphocytes with IL-2, IFN-gamma, and CD3 antibodies. After the patients had received low-dose chemotherapy, those in the treatment group also received the DC-CIK therapy, which was repeated four times in a fortnight to form one cycle. At least three cycles of DC-CIK therapy were given. Immune function was measured in treatment group patients' sera. Disease-free survival (DFS) and Overall survival (OS) after the diagnosis of stage IV breast cancer was assessed after a 10-year follow-up. The result demonstrated that immune function is obviously enhanced after DC-CIK therapy. By Cox regression analysis, DC-CIK therapy reduced the risk of disease progression (p < 0.01) with an increased OS (p < 0.01). After low-dose chemotherapy, active immunization with DC-CIK immunotherapy is a potentially effective approach for the control of tumour growth in stage IV breast cancer patients. (C) 2017 European Federation of Immunological Societies. Published by Elsevier B.V. All rights reserved.International Scientific Fund of Fuda Cancer Hospital, Guangzhou [Y2016-ZD-006]SCI(E)ARTICLE37-4318

    The Benthic Boundary Layer: geochemical and oceanographic data from the GEOSTAR-2 observatory

    No full text
    Geochemical and oceanographic data, acquired throughout 6 months by the GEOSTAR-2 benthic observatory in southern Tyrrhenian Sea, evidenced ocean-lithosphere interactions in the 1900-m deep Benthic Boundary Layer (BBL), distinguishing two water masses with different origin and, possibly, benthic residence time. Gas concentration, helium isotopic ratios, radioactivity, temperature, salinity and vertical component of the current converged towards the indication of a BBL characterised by a colder and fresher western water (WW), which is episodically displaced by the cascading of the warmer and saltier Eastern Overflow Water (EOW). The benthic WW has higher concentration of geochemical tracers diffusing from the seafloor sediments. The data set shows the potential of long-term, continuous and multiparametric monitoring in providing unique information which cannot be acquired by traditional, short-term or single-sensor investigations.JCR Journalope
    corecore