Study of a generalized Levin-Weniger convergence accelerator of numerical series: Particular cases and applications to multi-electron integrals in atomic physics

• Autores: Ignacio Porras Sánchez, Francisco Cordobés Aguilar
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 60, Nº. 12, 2010, págs. 1371-1381
• Idioma: inglés
• DOI: 10.1016/j.apnum.2010.07.002
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• Resumen

  • In this work the general Levin transformation for a new remainder estimate is studied and compared to the u-transformation for some particular test cases. Also, the Weniger transformation and a generalization of both are studied specifically for the three-electron problem in atomic physics. In addition, we study the problem of the instability of these convergence accelerators and discuss attempts to reduce them.