A method using models to mimic the behavior of actual or predicted phenomena. This methodology allows for experimentation and analysis, particularly when direct experimentation is infeasible or excessively costly. For instance, modeling the spread of a disease through a population or predicting weather patterns utilizes this mathematical approach.
The value of this approach lies in its ability to provide insights into complex systems, forecast outcomes, and test hypotheses in a controlled environment. It allows researchers and practitioners to explore “what-if” scenarios, optimize strategies, and make informed decisions. Historically, developments in computing power have significantly expanded the application and sophistication of these methodologies across diverse fields, from engineering to finance.