Advection-Diffusion: Properties and Stability Analysis

Related lectures (28)

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Explores advection-diffusion equations and the explicit 2-level scheme, emphasizing stability in numerical simulations.

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

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

Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.

Explores waves in inhomogeneous media, covering initial and boundary conditions, numerical stability, eigen modes, and propagation principles.

Covers Euler and Crank-Nicolson methods for solving differential equations.

Explores transient flow in porous media, covering governing equations, stability conditions, and numerical methods.

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

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

Covers the convection diffusion equation and its numerical approximation methods.