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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LU factorization
With appropriate pivoting, triangular factors reduce linear-system solution to substitution.
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Iterative linear solvers
Repeated approximations solve large linear systems when the iteration satisfies convergence conditions.
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.
Stiff equations
Widely separated decay scales can force explicit methods to take very small stable steps.
Bisection method
Continuity and opposite endpoint signs allow repeated halving to bracket a root.
Knowledge connections
- Iterative linear solvers · Related · Map context
- Stiff equations · Related · Map context
- Polynomial interpolation · Related · Map context
- Ordinary differential equations · Related · Map context