Seminar series
Date
Thu, 20 Feb 2003
Time
14:00 -
15:00
Location
Comlab
Speaker
Prof Jean-Paul Berrut
Organisation
University of Fribourg
The pseudospectral method for solving boundary value problems on the interval
consists in replacing the solution by an interpolating polynomial in Lagrangian
form between well-chosen points and collocating at those same points.
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Due to its globality, the method cannot handle steep gradients well (Markov's inequality).
We will present and discuss two means of improving upon this: the attachment of poles to
the ansatz polynomial, on one hand, and conformal point shifts on the other hand, both
optimally adapted to the problem to be solved.