Numerical Analysis Questions
There are three main types of errors in Numerical Analysis:
1. Round-off error: This type of error occurs due to the limitations of representing real numbers on a computer. It is caused by the finite precision of numerical calculations and can lead to small inaccuracies in the computed results.
2. Truncation error: Truncation error arises from approximating an infinite process or function by a finite one. It occurs when a mathematical operation or algorithm is terminated or approximated, leading to a difference between the exact solution and the computed solution.
3. Discretization error: Discretization error occurs when continuous mathematical models or equations are approximated by discrete methods, such as finite difference or finite element methods. It arises from the approximation of continuous functions or processes by a finite number of discrete points or elements, leading to errors in the computed results.