Numerical Analysis Questions
In Numerical Analysis, stability refers to the property of a numerical method or algorithm to produce accurate and reliable results even in the presence of small errors or perturbations. A stable method is one that does not amplify errors and maintains the accuracy of the solution over time or iterations. It ensures that the computed solution remains close to the true solution, even when there are uncertainties or limitations in the input data or computational process. Stability is a crucial aspect in numerical analysis as it guarantees the reliability and robustness of the numerical methods used for solving mathematical problems.