Finite Differences: Chapter 2

Related lectures (28)

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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.

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

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

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

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

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

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

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

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