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.
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Floating-point arithmetic
Finite-precision arithmetic introduces rounding and has bounded representable ranges.
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Conditioning
Conditioning measures sensitivity of a problem's exact solution to perturbations in its data.
Newton's method
A tangent-based iteration approximates a root but convergence depends on the initial point and local hypotheses.
Ordinary differential equations
An ODE relates an unknown function of one variable to its derivatives.
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.
Knowledge connections
- Conditioning · Related · Map context
- Newton's method · Related · Map context
- Ordinary differential equations · Related · Map context
- Polynomial interpolation · Related · Map context