Error Analysis for Galerkin Scheme

This lecture covers the error analysis for the Galerkin scheme, focusing on the solution of continuous and semi-discrete problems. It discusses the fully discrete solution and the method of orthogonal polynomials of degree 1. The lecture also delves into the error estimation due to discretization and the importance of Galerkin orthogonality. It concludes with the integration in time formula and the implications of different estimation methods.