Superconvergence is a term used to describe a situation in which a numerical approximation approach produces a solution that is more accurate than predicted by theory. Synonyms for superconvergence include ultra-accuracy, extraordinary precision, and hyper-convergent. Others include exceptional accuracy, supernatural convergence, and super-precise. Another word commonly associated with superconvergence is the phrase "unexpected accuracy." Mathematicians and computer scientists use superconvergence to describe situations when a numerical method exceeds expected performance, leading to improved simulations and predictions. Additionally, superconvergence is essential in numerous fields such as modeling and simulations, making it an important concept in the scientific community.