Lectures related to Convection Diffusion: Equations and Finite Difference Methods

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

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.

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

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

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

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

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

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

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

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

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

Covers the numerical approximation of ODEs using finite difference methods.

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

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.

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

Covers error division and schemes for solving differential equations.

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

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