Limitations of Quadratic Interpolation
Quadratic Interpolation has some limitations, which are listed as follows:
- Assumption of a parabolic curve between the data points may not always exactly represent the real connection.
- Using quadratic interpolation for extrapolation—or guessing values outside the data range—may be very unreliable and can produce incorrect results.
- Distribution as well as the density of the data points affect the estimation’s efficiency, as they do with any interpolation approach.
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.