Numerical Approximation of Partial Differential Equations

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

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

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

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.

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

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

Explores diffusion from a macroscopic perspective, emphasizing the derivation of the diffusion equation through mass conservation and fixed flux law.

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

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