A method of producing a polycarbodiimide polymer comprises heating a precursor compound at a desired temperature. The method further comprises combining the precursor compound, a diisocyanate compound, and a carbodiimidization catalyst to form a reaction mixture. Finally, the method comprises heating the reaction mixture for a first period of time at a first temperature, thereby reacting the precursor compound and the diisocyanate compound in the presence of the carbodiimidization catalyst to produce the polycarbodiimide polymer.