The Adams-Bashforth method is a numerical technique used to solve ordinary differential equations. It is an explicit multistep method, meaning it uses information from previous time steps to estimate future values. This approach is particularly useful for problems where the solution changes over time, allowing for efficient calculations. This method is named after John Couch Adams and Francis Bashforth, who contributed to its development. The Adams-Bashforth family includes several variations, such as the first-order and second-order methods, each providing different levels of accuracy and stability depending on the problem being solved.