Finite Difference Methods: Heat Equation Discretization

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Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.

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

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

Explores computational methods in quantum physics, emphasizing exact diagonalization and space discretization techniques.

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

Explores finite element discretization of the heat equation and its verification process.

Discusses the variational formulation of the heat equation using the finite element method.

Covers the heat equation, its physical interpretation, and numerical methods for solving it.

Explores optimal transport, gradient flows, the implicit Euler scheme, and the heat equation in the context of Dirichlet energy functional.

Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.