Numerical Analysis and Scientific Computing
Explore errors and equation solving; approximation and quadrature; linear systems and differential equations. Concepts and connections are available independently of video coverage.
FOLLOW AN IDEA
Splines
Piecewise polynomials joined with specified smoothness approximate data and curves.
Explore concept graph · Explore connected videos
Different ways to understand it
No reviewed video yet. Explore the concept in a map or suggest a resource. Suggest a video
More concepts to explore
Numerical quadrature
Weighted function samples approximate definite integrals with error depending on smoothness and sampling.
Polynomial interpolation
Distinct nodes determine a unique polynomial of bounded degree passing through their data.
Bisection method
Continuity and opposite endpoint signs allow repeated halving to bracket a root.
Conditioning
Conditioning measures sensitivity of a problem's exact solution to perturbations in its data.
Euler method
Euler's method advances an ODE solution using its current derivative and a step size.
Knowledge connections
- Polynomial interpolation · Related · Map context
- Numerical quadrature · Related · Map context