Lectures related to Steady convection: Numerical methods and schemes

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

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

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

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

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

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

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

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

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

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

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

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

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

Focuses on numerical modelling of atmospheric processes to predict weather and climate phenomena, covering key concepts and methods.

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

Covers error division and schemes for solving differential equations.

Explores the stability of the wave equation finite difference scheme and resonant excitation.

Explores transient flow in porous media, covering governing equations, stability conditions, and numerical methods.

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

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