The Adams-Moulton method is a numerical technique used to solve ordinary differential equations. It is an implicit method, meaning it requires solving an equation at each step to find the next value. This method is particularly useful for problems where high accuracy is needed, as it can provide better results than some explicit methods. Developed by John Couch Adams and Richard Moulton, the method is part of a family of linear multistep methods. It uses information from previous points to estimate future values, making it effective for stiff equations and other complex problems in mathematics and engineering.