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SUMMARY:Fokas diagonalization - Dave Smith (National University of Singapo
 re)
DTSTART:20221130T153000Z
DTEND:20221130T163000Z
UID:TALK193190@talks.cam.ac.uk
DESCRIPTION:We describe a new form of diagonalization for linear two point
  constant coefficient differential operators with arbitrary linear boundar
 y conditions. Although the diagonalization is in a weaker sense than that 
 usually employed to solve initial boundary value problems (IBVP)\, we show
  that it is sufficient to solve IBVP whose spatial parts are described by 
 such operators. We argue that the method described may be viewed as a reim
 plementation of the Fokas transform method for linear evolution equations 
 on the finite interval. The results are extended to multipoint and interfa
 ce operators\, including operators defined on networks of finite intervals
 \, in which the coefficients of the differential operator may vary between
  subintervals\, and arbitrary interface and boundary conditions may be imp
 osed\; differential operators with piecewise constant coefficients are thu
 s included.
LOCATION:Seminar Room 2\, Newton Institute
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