What is the concept of error analysis in Numerical Analysis?

Numerical Analysis Questions



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What is the concept of error analysis in Numerical Analysis?

Error analysis in Numerical Analysis refers to the process of quantifying and understanding the errors that arise when approximating mathematical problems using numerical methods. It involves evaluating the difference between the exact solution and the approximate solution obtained through numerical techniques. Error analysis helps in assessing the accuracy and reliability of numerical algorithms, identifying sources of error, and determining the efficiency of different numerical methods. By understanding and analyzing errors, it is possible to improve the accuracy and efficiency of numerical computations.