What is Interpolation?
Interpolation is a mathematical method used to estimate unknown values that fall within the range of known data points. Many fields, including mathematics, computer graphics, engineering, data analysis, and scientific computing, often employ interpolation. Using known data points as a point of reference is a mathematical and computational technique for estimating values.
It is often utilized when we need to calculate the value of an equation at points located between the given data points and we have a set of data points. Common interpolation techniques include:
- Linear Interpolation
- Polynomial Interpolation
- Lagrange Interpolation
- Spline Interpolation
Quadratic Interpolation
A quadratic polynomial is used in the mathematical process of quadratic interpolation to estimate values between data points. When you have a set of three data points and wish to estimate the behaviour of a smooth curve passing through these points, you frequently use this formula. To try to predict intermediate values, the quadratic interpolation method assumes that the fundamental connection between the points follows a parabolic curve (a second-degree polynomial).
Table of Content
- What is Interpolation?
- What is Quadratic Interpolation?
- Quadratic Interpolation Formula
- Derivation of Quadratic Interpolation Formula
- Applications of Quadratic Interpolation
- Limitations of Quadratic Interpolation
- Solved Problems on Quadratic Interpolation Formula.
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