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SUMMARY:Stability and strong convergence in multiscale methods for spatial
  stochastic kinetics - Stefan Engblom (Uppsala Universitet)
DTSTART:20160620T130000Z
DTEND:20160620T134500Z
UID:TALK66509@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Co-authors: Pavol Bauer (Uppsala university)\,  Augustin
  Chevallier (ENS Cachan)\, Stefan Widgren (National  Veterinary Institute)
  <br></span> <br>Recent progress in spatial stochastic modeling within the
  reaction-transport  framework will be reviewed. I will first look at the 
 issues with guaranteeing  well-posedness of the involved mathematical and 
 numerical models. Armed with  this and the Lax-principle\, I will then pre
 sent an analysis of split-step  methods and multiscale approximations\, al
 l performed in a pathwise\, or "strong"  sense. These analytical technique
 s hint at how effective (i.e. parallel)  numerical implementations can be 
 designed. <br> <br>Some fairly large-scale simulations will serve as illus
 trations of the  inherent flexibility of the modeling framework. While muc
 h of the initial  motivation for this work came from problems in cell biol
 ogy\, I will also  highlight examples from epidemics and neuroscience. <br
 ><br>Related Links <ul> <li><a target="_blank" rel="nofollow">http://user.
 it.uu.se/~stefane</a> -  Speakers web-page  </li><li><a target="_blank" re
 l="nofollow">http://dx.doi.org/10.1137/141000841</a>  - Referenced paper  
 </li><li><a target="_blank" rel="nofollow">http://dx.doi.org/10.4236/am.20
 14.519300</a>  - Referenced paper  </li><li><a target="_blank" rel="nofoll
 ow">http://arxiv.org/abs/1502.02908</a>  - Referenced accepted paper (prep
 rint)&nbsp\;</li></ul>
LOCATION:Seminar Room 1\, Newton Institute
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