Dynamic Systems: Formalism and Bases

Related lectures (30)

Page 3 of 3

Covers error division and schemes for solving differential equations.

Explores fixed points and their stability in dynamic systems, emphasizing linear stability analysis.

Explores the stability analysis of finite difference methods for solving differential equations.

Covers the Runge-Kutta method for approximating solutions of differential equations.

Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.

Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.

Explores the analysis of a ball's trajectory in contact with a beam, focusing on forces, angles, and motion equations.

Explores the deformations of an inextensible sheet bent under self-weight and its equilibrium shapes under gravity.

Explores inverse monotonicity in numerical methods for differential equations, emphasizing stability and convergence criteria.

Covers the progressive Euler method for numerical integration of ODEs, including Cauchy problems and Runge-Kutta methods.