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Lecture Notes: The Galerkin Method

Published 6 Dec 2011 in math.AP, math.FA, and math.NA | (1112.1176v1)

Abstract: These lecture notes introduce the Galerkin method to approximate solutions to partial differential and integral equations. We begin with some analysis background to introduce this method in a Hilbert Space setting, and subsequently illustrate some computational examples with the help of a sample matlab code. Finally, we use the Galerkin method to prove the existence of solutions of a nonlinear boundary value problem.

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