Our current model for the description of spacetime, Einstein’s general relativity, isnow over a century old. Experimental and computational capabilities have advanced greatly since then, and now we are able to both compute as well as observe gravita- tional waves in the strong-field regime: gravitational waves that result from events as energetic as the merger of two black holes. The computer calculations that are used to study general relativity have increased in sophistication over the last several years, and will be continued to be improved upon, as the field of gravitational wave experiment matures. In the first two chapters of this thesis we discuss the development and testing of a new relativity code intended to improve upon the accuracy of previous numerical calculations, a numerical relativity code that could perhaps be used in the calculation of spacetimes in theories of gravity beyond general relativity. In the third chapter of this thesis we discuss the currently existing gravitational wave models and the efforts that have been invested toward preparing these models to be compatible with future numerical and analytical results of beyond-GR calcula- tions. We talk about the various effects that might be observable depending on the beyond-GR theory, and how each of these effects might be incorporated in a generic gravitational wave template.