Lecture Notes: The Galerkin Method

Details Lecture Notes: The Galerkin Method Lecture Notes: The Galerkin Method

2011-12-06

arxiv.org/abs/1112.1176v1

Mathematics

Analysis of PDEs

Scientific paper

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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