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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Euler method
Euler's method advances an ODE solution using its current derivative and a step size.
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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.
Runge–Kutta methods
Multiple derivative evaluations per step improve ODE approximation accuracy.
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.
Knowledge connections
- Iterative linear solvers · Related · Map context
- Runge–Kutta methods · Related · Map context
- Ordinary differential equations · Prerequisite · Map context