BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Nonlinear Fourier integrators for dispersive equations
DTSTART:20191029T161500
DTEND:20191029T171500
DTSTAMP:20260415T032509Z
UID:95dc085490ee38f6d72f10117ff32ae02c63400ed5a6c38396118b2d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Katharina Schratz\, Heriot-Watt University\nComputationa
 l Mathematics Seminar \n\nAbstract :\nA large toolbox of numerical schemes
  for dispersive equations has been established\, based on different discre
 tization techniques such as discretizing the variation-of-constants formul
 a (e.g.\, exponential integrators) or splitting the full equation into a s
 eries of simpler subproblems (e.g.\, splitting methods). In many situation
 s these classical schemes allow a precise and efficient approximation. Thi
 s\, however\, drastically changes whenever “non-smooth’’ phenomena e
 nter the scene such as for problems at low-regularity and high oscillation
 s. Classical schemes fail to capture the oscillatory parts within the solu
 tion which leads to severe instabilities and loss of convergence. In this 
 talk I present a new class of nonlinear  Fourier integrators. The key ide
 a in the construction of the new schemes is to tackle and deeply embed the
  underlying structure of resonances into the numerical discretization.​ 
 As in the continuous case\, these terms are central to structure preservat
 ion and offer the new schemes strong geometric structure at low regularity
 .​\n\n 
LOCATION:MA A3 30
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR