Finite Difference Methods: Heat Equation Discretization

Related lectures (29)

Page 2 of 3

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

Explores convolution properties, heat equation application, and Fourier transform on tempered distributions.

Covers the numerical approximation of PDEs, including Poisson and heat equations, transport phenomena, and incompressible limits.

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

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

Explores the maximum principle in the context of the heat equation and the concept of the cylinder.

Covers the finite differences method for approximating solutions to differential equations through discretization and linear systems.

Covers the application of separation of variables method to solve the heat equation.

Explores the application of Fourier transform to PDEs and boundary conditions.

Covers free propagation and the heat equation solution, discussing momentum preservation and Fourier multipliers.