Lectures related to Numerical Derivatives of Order 1

Covers the numerical approximation of PDEs and examples of nonlinear behavior.

Discusses the error between f'(x0) and its approximation using a backward finite difference formula.

Covers numerical derivatives of order 1 using the finite difference centered formula.

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

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

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

Explores numerical methods for solving partial differential equations computationally, emphasizing their importance in predicting various phenomena.

Explores finite differences formulas, error analysis, and numerical experiments in computational mathematics.