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arXiv · 1112.1176

Lecture Notes: The Galerkin Method

Raghavendra Venkatraman
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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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Raghavendra Venkatraman. 2011-12-06. Lecture Notes: The Galerkin Method. https://arxiv.org/abs/1112.1176

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