BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Ioanna Motschan-Armen (Chalmers & GU)
DTSTART:20240617T091500Z
DTEND:20240617T100000Z
DTSTAMP:20260417T004041Z
UID:cam/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/34/">App
 roximation of semilinear stochastic heat equations on the sphere</a>\nby I
 oanna Motschan-Armen (Chalmers & GU) as part of CAM seminar\n\nLecture hel
 d in MV:H12.\n\nAbstract\nStochastic partial differential equations are us
 ed to describe various physical processes that are perturbed by noise. Som
 e of those occur on curved surfaces\, for example spheres. In this talk se
 milinear stochastic heat equations with additive noise on the unit sphere 
 are considered. Approximations in space and time are presented in order to
  simulate and analyse solutions. The space approximation is derived using 
 the spectral method\, with spherical harmonic functions. In order to obtai
 n time discretization on an equidistant time grid the Euler--Maruyama sche
 me is applied. For the semilinear stochastic heat equations on the sphere 
 with additive isotropic Wiener noise\, strong convergence rates in space a
 nd time are derived\, taking regularity of the initial condition and the d
 riving noise into account. Furthermore convergence of the expectation and 
 the second moment is analysed for the corresponding linear equation. The t
 heoretical results are confirmed by numerical simulations.\n\nMidterm-Semi
 nar\n
LOCATION:https://researchseminars.org/talk/cam/34/
END:VEVENT
END:VCALENDAR