Hermite spline
Encyclopedia
In the mathematical
subfield of numerical analysis
, a Hermite spline is a spline curve where each polynomial of the spline is in Hermite form.
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
subfield of numerical analysis
Numerical analysis
Numerical analysis is the study of algorithms that use numerical approximation for the problems of mathematical analysis ....
, a Hermite spline is a spline curve where each polynomial of the spline is in Hermite form.
See also
- Cubic Hermite splineCubic Hermite splineIn the mathematical subfield of numerical analysis a cubic Hermite spline , named in honor of Charles Hermite, is a third-degree spline with each polynomial of the spline in Hermite form...
- Hermite polynomialsHermite polynomialsIn mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence that arise in probability, such as the Edgeworth series; in combinatorics, as an example of an Appell sequence, obeying the umbral calculus; in numerical analysis as Gaussian quadrature; and in physics, where...
- Hermite interpolationHermite interpolationIn numerical analysis, Hermite interpolation, named after Charles Hermite, is a method of interpolating data points as a polynomial function. The generated Hermite polynomial is closely related to the Newton polynomial, in that both are derived from the calculation of divided differences.Unlike...