Lecture 9 Flashcards
What is the goal of interpolation?
What are five examples of puposes for interpolation?
How does Lagrangian interpolation work?
What are the four methods for polynomial interpolation?
How does Lagrange Interpolation work?
What is the Linear Systems approach for interpolation?
Why is the Vandermonde matrix rarely used for interpolation?
How is Newton Interpolation (without divided differences) calculated?
How to do the Newton divided differences?
Why is Piecewise Polynomial Interpolation necessary?
What is Piecewise Lagrangian interpolation?
What are cubic splines?
Which four conditions for cubic splines need to hold?
What is the interpolation error of a polynomial? How can they be reduced?
What are Chevyshev points? Why are they used?
What is the inner prodct on a space of polynomials in an interval?
When are two polynomials orthogonal? When are they orthonormal?
Why are orthogonal polynomials useful?
What are the Chevyshev polynomials?
What is the Equi-oscillation property?
