[CvGmt News] [Notiziario] [Settimanale] cambio di orario seminario

Giulia Curciarello curciare at dm.unipi.it
Wed Apr 14 13:03:07 CEST 2004


il seminario del prof. Vladimir Gerdt
e' stato anticipato alle ore 16.30


giovedi' - 15-04-2004 (16:30 - Sala Seminari) :
Vladimir Gerdt

Algorithmic Generation of Finite Difference Schemes for Differential
Equations

abstract:
We present an algorithmic technique for construction of fully conservative
finite difference schemes for partial differential equations. This technique
based on discretization of the initial equation in its conservation law form
together with some extra integral relations. It yields an algebraic system
for
discrete values of the sought functions and its derivatives. The difference
scheme is obtained by elimination of the derivatives what can be done by
construction of an appropriate pure algebraic Groebner or involutive basis.
We demonstrate the technique by the classical Laplace equation, heat
equation and wave equation. As a nontrivial example we consider also
nonlinear Falkowich-Karman equation describing transonic flow in gas
dynamics.



Giulia Curciarello
Segreteria Didattica
tel: 050-2213219
e-mail curciare at dm.unipi.it

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