Interpolation error refers to the discrepancy between the actual function value and the interpolated value obtained from an approximate function. It is crucial in numerical analysis as it affects the accuracy of predictions made using interpolation methods, especially when dealing with non-linear or complex datasets.

Interpolation Error

Interpolation error

discrepancy between the actual function value and the interpolated value

approximate function

Numerical analysis is a branch of mathematics that focuses on the development and implementation of algorithms to obtain numerical solutions to mathematical problems that are often too complex for analytical solutions. It is essential in scientific computing, enabling the approximation of solutions for differential equations, optimization problems, and other mathematical models across various fields.

numerical analysis

accuracy of predictions

Interpolation methods are mathematical techniques used to estimate unknown values that fall within the range of a discrete set of known data points. These methods are crucial in fields such as numerical analysis, data science, and computer graphics for tasks like curve fitting, image processing, and data prediction.

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