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This work also shows numerical results of several experiments with the method, namely: simulation of simple electromagnetic problems with a known analytical solution for comparison and error analysis; comparison of different time discretization schemes, which are not strictly part of DGM; reduction of computation time with the use of adaptive time steps; and analysis of accuracy of absorbing boundaries in scattering problems. A discussion listing advantages and limitations of DGM concludes this work.","abstract_html":"This thesis presents the mathematical derivation and implementation of, and improvements to, the discontinuous Galerkin method (DGM) for solving Maxwell’s equations. Each step leading to the development of a computer code for this method is explained in detail, and samples codes are included in the Appendix. This work also shows numerical results of several experiments with the method, namely: simulation of simple electromagnetic problems with a known analytical solution for comparison and error analysis; comparison of different time discretization schemes, which are not strictly part of DGM; reduction of computation time with the use of adaptive time steps; and analysis of accuracy of absorbing boundaries in scattering problems. 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