Ritz Method

The Ritz Method is a technique used in engineering and physics to find approximate solutions to complex problems, especially when solving equations about how objects bend or vibrate. It involves guessing a possible shape or behavior, called an approximation, that depends on adjustable parameters. By tweaking these parameters to minimize the total energy or error in the system, the method finds the most accurate approximation within a set of chosen functions. This approach simplifies solving difficult problems by turning them into an optimization task, providing useful solutions when exact answers are hard to obtain.