Error analysis of the extended filon-type method for highly oscillatory integrals

HIGHLIGHTS

  • who: Jing Gao from the University of Cambridge, Cambridge, UK have published the paper: Error analysis of the extended Filon-type method for highly oscillatory integrals, in the Journal: (JOURNAL)
  • what: The authors investigate the impact of adding inner nodes for a Filon-type method for highly oscillatory quadrature. The aim of this paper is a rigorous and complete analysis of EFM and the establishment of realistic and tight upper bounds on its numerical error. This has led to tight bounds in two cases: for u03c9 1 (which, after all, is the main objective of . . .

     

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