Convection-Diffusion Equations

Related lectures (30)

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Covers finite element methods for solving diffusion problems in porous media, including meshing, interpolation, and weighted residuals.

Covers the numerical resolution of groundwater flows using finite elements and emphasizes the importance of spatial and temporal discretization.

Discusses interpolation points and mixed boundary conditions in numerical analysis, emphasizing convergence properties and stability implications.

Explores error analysis and limitations in interpolation on evenly distributed nodes.

Covers the Finite Volume Method for numerical flow simulation, including conservation equations, discretization methods, and boundary conditions.

Explores trigonometric interpolation for approximating periodic functions and signals using equally spaced nodes.

Covers the concept of piecewise linear interpolation and the importance of dividing intervals correctly.

Covers Lagrange interpolation using intervals to find accurate polynomial approximations.

Covers the interpolation of nonlinear functions using Lagrange polynomials and error analysis.

Introduces Lagrange interpolation for approximating data points with polynomials, discussing challenges and techniques for accurate interpolation.