Lectures related to Numerical Derivatives of Order 1

Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.

Covers numerical differentiation and integration techniques using examples and quadrature formulas.

Explores backward and central differences for numerical differentiation, analyzing their properties and error analysis.

Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

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

Explores boundary value problems, finite difference method, and Joule heating examples in 1D.

Explores numerical methods for fluid dynamics and techniques for handling fluid interfaces.

Covers numerical differentiation, integration, finite differences, Taylor expansions, and interpolation polynomials.

Focuses on Euler schemes for numerical approximation of forces and velocities.

Covers numerical derivatives of order 1 using progressive finite difference formulas in numerical analysis.

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

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

Covers the application of finite element methods to solve boundary value problems in one dimension.

Explores numerical methods for boundary value problems, including heat diffusion and fluid flow, using finite difference methods.

Covers error division and schemes for solving differential equations.

Covers the motivation and examples of boundary value problems, the finite difference method, and the approximation of local derivatives.

Explores the accuracy of central finite difference formulas for derivatives.

Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.

Explores hydroacoustic modeling through electrical analogies, discussing resolution methods, simplified equations, and physical interpretations.