Fixed-Point Methods and Newton-Raphson

Related lectures (30)

Page 3 of 3

Covers Euler and Crank-Nicolson methods for solving differential equations.

Covers the fixed point method for solving nonlinear equations and discusses convergence properties.

Covers the Picard method for solving nonlinear equations using fixed point iteration.

Covers the Newton method and its convergence properties near the optimal point.

Explores iterative methods for solving linear systems with a focus on error control.

Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.

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

Discusses evaluation feedback, convergence, error analysis, and adaptive time steps in physics simulations.

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

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