Numerics: semester project

Related lectures (27)

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Explores zero-stability and absolute-stability in numerical methods, including Forward Euler, Backward Euler, Crank-Nicolson, and Heun's methods.

Covers ODE RK schemes, including explicit RK stages and accuracy computation.

Covers implicit schemes in numerical analysis for solving partial differential equations.

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

Covers numerical methods in physics, focusing on solving complex problems and understanding limitations.

Explores iterative methods for solving nonlinear equations, discussing convergence properties and implementation details.

Covers high order methods for space discretisation in linear differential systems.

Covers iterative methods for solving linear equations and analyzing convergence, including error control and positive definite matrices.

Discusses the analysis of composite numerical integration formulas and their convergence, stability, and error characteristics.

Covers the stages of the explicit Runge-Kutta method for approximating y(t) with detailed explanations.