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SUMMARY:David Smith (Yale-NUS College)
DTSTART:20230929T223000Z
DTEND:20230929T233000Z
DTSTAMP:20260412T172258Z
UID:AppliedMath/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AppliedMath/
 36/">Fokas Diagonalization</a>\nby David Smith (Yale-NUS College) as part 
 of SFU Mathematics of Computation\, Application and Data ("MOCAD") Seminar
 \n\nLecture held in K9509.\n\nAbstract\nWe describe a new form of diagonal
 ization for linear two point constant coefficient differential operators w
 ith arbitrary linear boundary conditions. Although the diagonalization is 
 in a weaker sense than that usually employed to solve initial boundary val
 ue problems (IBVP)\, we show that it is sufficient to solve IBVP whose spa
 tial parts are described by such operators. We argue that the method descr
 ibed may be viewed as a reimplementation of the Fokas transform method for
  linear evolution equations on the finite interval. The results are extend
 ed to multipoint and interface operators\, including operators defined on 
 networks of finite intervals\, in which the coefficients of the differenti
 al operator may vary between subintervals\, and arbitrary interface and bo
 undary conditions may be imposed\; differential operators with piecewise c
 onstant coefficients are thus included.\n
LOCATION:https://researchseminars.org/talk/AppliedMath/36/
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