2,479 research outputs found

    CONVERGENCE ANALYSIS OF THE SEMIIMPLICIT EULER METHOD FOR ABSTRACT EVOLUTION-EQUATIONS

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    Spigler, R.; Vianello, M.. (1994). Convergence analysis of the semi-implicit euler method for abstract evolution equations. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/2662

    A variant of the complex Liouville-Green approximation theorem

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    summary:We propose a variant of the classical Liouville-Green approximation theorem for linear complex differential equations of the second order. We obtain rigorous error bounds for the asymptotics at infinity, in the spirit of F. W. J. Olver’s formulation, by using rather arbitrary ξ\xi -progressive paths. This approach can provide higher flexibility in practical applications of the method

    RBFCUB: A numerical package for near-optimal meshless cubature on general polygons

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    In this paper we improve the cubature rules discussed in Sommariva and Vianello (2021) for the computation of integrals by radial basis functions (RBFs). More precisely, we introduce in the context of meshless cubature a leave-one-out cross validation criterion for the optimization of the RBF shape parameter. This choice allows us to get highly reliable and accurate results for any kind of both infinity and finite regularity RBF. The efficacy of this approximation scheme is tested by numerical experiments on complicated polygonal regions. The related MATLAB software is provided to the scientific community in [1]

    WKB-type approximation for second-or der differential equations in C*-algebras

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    Spigler, R.; Vianello, M.. (1994). WKB-type approximation for second-or der differential equations in C*-algebras. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/2666

    Psychometric Properties and Measurement Invariance of a Short Form of the Unified Multidimensional Calling Scale (UMCS)

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    This paper reports on the development of a unidimensional short scale for measuring career calling (UMCS-7). The scale has been developed drawing from the theoretical model behind the Unified Multidimensional Calling Scale (UMCS: Vianello et al., 2018), according to which calling is composed of Passion, Prosociality, Purpose, Pervasiveness, Sacrifice, Transcendent Summons, and Identity. The UMCS-7 integrates classical and modern conceptualizations of career calling and can be used when time constraints prevent using the UMCS. The UMCS-7 has been validated in a sample of Italian workers (N = 1,246) using exploratory and confirmatory factor analysis. A sample of US employees (N = 165) was used to estimate measurement invariance across languages, establishing the equivalence of factor loadings, all but two intercepts, and all error variances. The UMCS-7 demonstrated nearly perfect convergent validity with the UMCS (r = .97), excellent internal consistency (alpha(Italy) = .86; alpha(US) = .87), and satisfactory concurrent validity with job satisfaction, life satisfaction, and turnover intentions
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