Supported by the London Mathematical Society (LMS)
Organizer: Robb McDonald (UCL) firstname.lastname@example.org
Scientific Committee: P. Clarkson (Kent), D. Crowdy (Imperial), A. Fokas (Cambridge), R. McDonald (UCL) and B. Pelloni (Reading)
University College London, 20-22 April 2015
Numerical methods based on complex analysis have long played an important role in understanding free boundary problems such as Hele-Shaw flows, nonlinear waves, vortex dynamics and Stefan problems. Boundary integral methods (BIM) based, for example, on Cauchy's integral formula, are well-suited to studying such free boundary problems with the problem typically being re-cast as a singular integral equation. Recently it has become clear that a completely new source of ideas, based on the so-called unified transform method (UTM) due to Fokas and collaborators, is leading to new methods, insights and competitive computational schemes. For example, it has been noted that for linear PDEs numerical implementation of the UTM is faster and more accurate than alternative methods. This LMS-funded meeting will bring together analysts, applied and computational mathematicians for intra-disciplinary exchanges related to computational complex analysis in free surface flows, and other applications of complex analysis such as Painleve equations and Riemann-Hilbert problems.
Bengt Fornberg (Colorado, USA)
Tamara Grava (SISSA, Trieste, Italy)
Bernard Deconinck (U. Washington, USA)
Beatrice Pelloni (Reading, UK)
Michael Siegel (New Jersey Inst. Tech., USA)
Jean-Marc Vanden-Broeck (UCL, UK)
Registration: The registration fee for this workshop is £30.00.
** PLEASE CLICK HERE FOR ONLINE REGISTRATION FOR THIS WORKSHOP **
Travel and subsistence funds are available for UK-based research students. Please contact Robb McDonald for details. For those requiring childcare in order to attend the meeting the LMS administers a Childcare Supplementary Grant Scheme. Further information about this scheme can be found on the LMS website: http://www.lms.ac.uk/content/childcare-supplementary-grants