1,721,012 research outputs found

    On the approximation by product rules of weakly singular double integrals over the square

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    Double integrals with algebraic and/or logarithmic singularities are of interest in the application of boundary element method, e.g. linear theory of the aerodynamics of slender bodies of revolution and in many other fields, for example computational electromagnetics. Therefore, the numerical evaluation of such type of integrals deserves attention. In this connection we propose here product interpolatory rules based on suitable Jacobi zeros, giving numerical tests to show the goodness of the proposed algorithm as well as from a point of view of convergence also for the simplicity of implementation

    Forme di memoria letteraria e strategie allusive in Sinesio

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    Il contributo analizza le forme di densità letteraria teatrale (tragica) in Sinesio e passa in rassegna l’epistolario, dal momento che la presenza degli autori di teatro (tragici e comici, maggiori, minori e adespoti) nel corpus delle 156 epistole pervenuteci è un’eredità letteraria ancora in attesa di una indagine sistematica e di una valutazione adeguata

    Convergence of extended Lagrange interpolation

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    The authors give a procedure to construct extended interpolation formulae and prove some uniform convergence theorems

    Uniform convergence of derivatives of extended Lagrange interpolation.

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    The authors construct some extended interpolation formulae to approximate the derivatives of a function in uniform norm. They prove theorems on uniform convergence and give estimates of pointwise type and of simultaneous approximation
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