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SUMMARY:Solution of Integral Equations using Projection Methods
DTSTART;VALUE=DATE-TIME:20160613T120000Z
DTEND;VALUE=DATE-TIME:20160613T130000Z
DTSTAMP;VALUE=DATE-TIME:20200926T123713Z
UID:indico-event-1357@indico.math.cnrs.fr
DESCRIPTION:We are interested in approximate solutions of the Fredholm int
egral equations of the\nsecond kind using projection methods. Classical me
thods such as the Galerkin method\nassociated with an orthogonal projectio
n and the collocation method associated with\nan interpolatory projection
are discussed. We also consider the iterated Galerkin and\nthe iterated co
llocation methods which have higher orders of convergence. A method\npropo
sed by author which improves upon the iterated Galerkin/iterated collocati
on is\nnext described. The proofs for orders of convergence for various me
thods in the case\nof a smooth kernel are discussed briefly. We obtain ord
ers of convergence in the case\nof a kernel of the type of a Green's funct
ion and validate these results by a numerical\nexample.\n\nPrerequisite: N
iveau d'Analyse L3\n\nhttps://indico.math.cnrs.fr/event/1357/
LOCATION:FacultÃ© des sciences de Saint-Etienne C112
URL:https://indico.math.cnrs.fr/event/1357/
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