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Titlebook: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan; Josef Dick,Frances Y. Kuo,Henryk Woźniakowski Bo

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https://doi.org/10.1007/978-3-663-19796-6rands that become singular on the boundary of the unit cube [0, 1]. or at isolated possibly unknown points within [0, 1].. Here we consider functions on the square [0, 1]. that may become singular as the point approaches the diagonal line .. = .., and we study three quadrature methods. The first met
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,Die Stellung der Webschäfte zur Kette,quations of Volterra and Fredholm types that arise in various applications. In order to do so, we first give a brief review of recent results concerning the numerical analysis of standard (ordinary and partial) Volterra and Fredholm integro-differential equations, with the focus being on collocation
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,Optimale Überwachung in der Praxis,ng applications. When . is large, this task is challenged by the so-called .. As a typical example, standard polynomial spaces, such as those of total degree type, are often uneffective to reach a prescribed accuracy unless a prohibitive number of evaluations is invested. In recent years it has been
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Siegfried Ruff,Kurt Krieger,Harald Hansteenox Theory 83:238–254, 1995). In particular, our focus is on reviewing the application of the scalar and vector-valued hyperinterpolation approximations for developing, analyzing and implementing fully-discrete high-order algorithms. Such approximations facilitate efficient simulation of scattering o
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