Numerical Approximation of PDEs

Related lectures (27)

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Explores numerical methods for solving partial differential equations computationally, emphasizing their importance in predicting various phenomena.

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

Covers numerical methods for solving boundary value problems, including applications with the Fast Fourier transform (FFT) and de-noising data.

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

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

Explores the heat equation in 1D, emphasizing conservation of thermal energy and numerical solution methods.

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

Covers the basics of Partial Differential Equations, focusing on heat transfer modeling and numerical solution methods.

Explores the parabolic heat equation evolution and numerical solution methods.

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