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SUMMARY:Ioanna Motschan-Armen (Chalmers University of Technology and Unive
 rsity of Gothenburg)
DTSTART:20230927T111500Z
DTEND:20230927T120000Z
DTSTAMP:20260404T132229Z
UID:cam/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/cam/5
 /">Euler-Maruyama approximations of the stochastic heat equation on the sp
 here</a>\nby Ioanna Motschan-Armen (Chalmers University of Technology and 
 University of Gothenburg) as part of CAM seminar\n\nLecture held in MV:L14
 .\n\nAbstract\nThe stochastic heat equation on the sphere driven by additi
 ve isotropic Wiener\nnoise is approximated by a spectral method in space a
 nd forward and backward Euler–\nMaruyama schemes in time. The spectral a
 pproximation is based on a truncation of the series\nexpansion with respec
 t to the spherical harmonic functions. Optimal strong convergence rates\nf
 or a given regularity of the initial condition and driving noise are deriv
 ed for the Euler–\nMaruyama methods. Besides strong convergence\, conver
 gence of the expectation and second\nmoment is shown\, where the approxima
 tion of the second moment converges with twice the\nstrong rate. Numerical
  simulations confirm the theoretical results.\nThis is joint work with Ann
 ika Lang.\n
LOCATION:https://stable.researchseminars.org/talk/cam/5/
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