Web Reference: Jul 23, 2025 · In numerical analysis, understanding errors is crucial for evaluating the accuracy of approximations. Exact numbers are rare in real-world computations, so approximate values often come with errors. Estimated Relative Error: For some problem, the true solution is not known, calculations for a numerical solution are executed in an iterative manner until a desired accuracy is achieved, then estimated relative error is used as a standard to check the solution. These errors being inherited by the numerical analyst are called Inherent Errors. Two types of errors occur in implementation of numerical methods on computer, classified as Truncation Error and Round off Error.
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