Iterative Numerical Methods: Convergence and Errors

Related lectures (28)

Page 3 of 3

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.

Covers the Jacobi iterative method for solving electrostatic problems and discusses convergence and practical examples.

Covers Newton's method for finding zeros of functions through fixed point iteration and discusses convergence properties.

Covers the basics of numerical analysis and computational methods using Python, focusing on algorithms and practical applications in mathematics.

Covers the Crank-Nicolson and Heun's methods, discussing uniqueness of solutions and truncation errors in numerical methods.

Explains verification and validation in CFD simulations, focusing on Richardson extrapolation and accuracy checking.

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Covers error analysis, stability, and adaptive time stepping in numerical methods, including convergence order and equilibrium points.