Interactive Polynomial Interpolation

This section covers techniques for constructing polynomials that pass through a given set of data points. It explores different bases for representing these polynomials, including the Monomial, Lagrange, and Newton base… Interactive Polynomial Interpolation turns that idea into something you can manipulate directly and watch respond.

This section covers techniques for constructing polynomials that pass through a given set of data points. It explores different bases for representing these polynomials, including the Monomial, Lagrange, and Newton base… It focuses on Polynomial Interpolation, Monomial Basis, Lagrange Basis, Newton Basis, Horner's Method, Piecewise Interpolation from the “Polynomial Interpolation and Approximation” section.

You can drag elements directly on the canvas; the “Reset to Example” button run actions or reset the demo. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.

CS323 provides a comprehensive introduction to numerical algorithms, focusing on practical implementation and real-world applications. The course begins with the fundamentals of computational error and floating-point ar… This demo is the interactive piece for the “Polynomial Interpolation and Approximation” section. Open the full CS323: Numerical Analysis and Computing course wiki at https://www.getlykke.com/explore/public/cs323-numerical-analysis-and-computing-7146330a-2792-4961-9bd5-0e42fb092c87 for notes, flashcards, quizzes and the other demos.

You'll build intuition for Polynomial Interpolation, Monomial Basis, Lagrange Basis, Newton Basis, Horner's Method, Piecewise Interpolation — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on CS323: Numerical Analysis and Computing alone.