BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20260601T205821EDT-8323adrDiZ@132.216.98.100 DTSTAMP:20260602T005821Z DESCRIPTION:Title: Stable high-order cubature formulae for integration in a rbitrary dimension\n\nAbstract: We present cubature formulae for the integ ration of functions in arbitrary dimension and arbitrary domain. These cub atures are exact on a given finite-dimensional subspace Vn of L^2 of dimen sion n\, they are stable with high probability and are constructed using m pointwise evaluations of the integrand function with m proportional to nl og(n). For these cubatures we provide a convergence analysis showing that the expected cubature error decays as m^{-1/2} times the L^2 best approxim ation of the integrand function in Vn.\n\n \n\n \n DTSTART:20231106T210000Z DTEND:20231106T220000Z LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Giovanni Migliorati (Sorbonne Universite) URL:/mathstat/channels/event/giovanni-migliorati-sorbo nne-universite-352343 END:VEVENT END:VCALENDAR