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SUMMARY:Ioanna Motschan-Armen (Chalmers University of Technology and Unive
 rsity of Gothenburg)
DTSTART:20230927T111500Z
DTEND:20230927T120000Z
DTSTAMP:20260417T004133Z
UID:cam/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/5/">Eule
 r-Maruyama approximations of the stochastic heat equation on the sphere</a
 >\nby Ioanna Motschan-Armen (Chalmers University of Technology and Univers
 ity of Gothenburg) as part of CAM seminar\n\nLecture held in MV:L14.\n\nAb
 stract\nThe stochastic heat equation on the sphere driven by additive isot
 ropic Wiener\nnoise is approximated by a spectral method in space and forw
 ard and backward Euler–\nMaruyama schemes in time. The spectral approxim
 ation is based on a truncation of the series\nexpansion with respect to th
 e spherical harmonic functions. Optimal strong convergence rates\nfor a gi
 ven regularity of the initial condition and driving noise are derived for 
 the Euler–\nMaruyama methods. Besides strong convergence\, convergence o
 f the expectation and second\nmoment is shown\, where the approximation of
  the second moment converges with twice the\nstrong rate. Numerical simula
 tions confirm the theoretical results.\nThis is joint work with Annika Lan
 g.\n
LOCATION:https://researchseminars.org/talk/cam/5/
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