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To defeat GibbsÕ phenomenon in Fourier and Chebyshev series, Gottlieb et al. [ On the Gibbs phenomenon I: recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function, J. Comput. Appl. Math. 43 (1992) 81–98] developed a ''Gegenbauer reconstruction''. The partial sums of the Fourier or other spectral series are reexpanded(More)
JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org.. Society for(More)
  • Hyperasymptotic Series, John P. Boyd, Niels Hendrik Abel
  • 1998
Singular perturbation methods, such as the method of multiple scales and the method of matched asymptotic expansions, give series in a small parameter which are asymptotic but (usually) divergent. In this survey, we use a plethora of examples to illustrate the cause of the divergence, and explain how this knowledge can be exploited to generate a "(More)
The core/periphery structure is ubiquitous in network studies. The discrete version of the concept is that individuals in a group belong to either the core, which has a high density of ties, or to the periphery, which has a low density of ties. The density of ties between the core and the periphery may be either high or low. If the core/periphery structure(More)