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UID:news1102@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20210623T193410
DTSTART;TZID=Europe/Zurich:20201113T110000
SUMMARY:Seminar in Numerical Analysis: Gilles Vilmart (Université de Genè
 ve)
DESCRIPTION:We show that the Strang splitting method applied to a diffusion
 -reaction equation with inhomogeneous general oblique boundary conditions
  is of order two when the diffusion equation is solved with the Crank-Nic
 olson method\, while order reduction occurs in general if using other Ru
 nge-Kutta schemes or even the exact flow itself for the diffusion part. We
  also show that this method recovers stationary states in contrast with sp
 litting methods in general.We prove these results when the source term onl
 y depends on the space variable. Numerical experiments suggest that the s
 econd order of convergence persists with general nonlinearities.\\r\\nThi
 s is joint work with Guillaume Bertoli (Université de Genève) and Chris
 tophe Besse (Institut de Mathématiques de Toulouse).\\r\\nFor further inf
 ormation about the seminar\, please visit this webpage [t3://page?uid=111
 5].
X-ALT-DESC:<p>We show that the Strang splitting method applied to a diffusi
 on-reaction&nbsp\;equation with inhomogeneous general oblique boundary con
 ditions is of&nbsp\;order two when the diffusion equation is solved with t
 he Crank-Nicolson&nbsp\;method\, while order reduction occurs in general i
 f using other&nbsp\;Runge-Kutta schemes or even the exact flow itself for 
 the diffusion part. We also show that this method recovers stationary stat
 es in contrast with splitting methods in general.We prove these results wh
 en the source term only depends on the space&nbsp\;variable. Numerical exp
 eriments suggest that the second order of&nbsp\;convergence persists with 
 general nonlinearities.</p>\n<p>This is joint work with Guillaume Bertoli 
 (Université de Genève) and&nbsp\;Christophe Besse (Institut de Mathémat
 iques de Toulouse).</p>\n<p>For further information about the seminar\, pl
 ease visit this&nbsp\;<a href="t3://page?uid=1115" title="Opens internal l
 ink in current window">webpage</a>.</p>
DTEND;TZID=Europe/Zurich:20201113T120000
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