Numerical Methods: Lecture 4

Related lectures (27)

Page 2 of 3

Covers direct methods for solving linear systems in numerical analysis.

Explores eigenvalue problems, iterative methods, convergence properties, and applications in computational physics.

Explores numerical methods in biomechanics for hip implants and emphasizes understanding conditions for improved designs and patient outcomes.

Explores direct methods for solving linear systems of equations, including Gauss elimination and LU decomposition.

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

Covers the application of finite difference methods to solve partial differential equations.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Covers the solution of linear systems using direct methods and the evolution of matrices.

Covers the formalism and bases of dynamic systems, including differential equations and non-linear systems.

Discusses finite differences and finite elements, focusing on variational formulation and numerical methods in engineering applications.