Darcy's Flows in Porous Media

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Page 2 of 3

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

Numerical Differentiation: Part 1

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Finite Elements: Problem with Limits

Covers the application of finite element methods to solve boundary value problems in one dimension.

ODEs: Introduction and Solutions

Covers Ordinary Differential Equations, first-order solutions, and numerical methods for IVP and BVP.

Numerical Modelling of the Atmosphere

Focuses on numerical modelling of atmospheric processes to predict weather and climate phenomena, covering key concepts and methods.

Consistency and Stability in Numerical Methods

Explores consistency and stability in numerical methods, emphasizing error analysis and the role of boundary conditions.

Computational Geomechanics

Covers the basics of computational geomechanics, including poroelasticity, plasticity, and numerical methods for solving geotechnical problems.

Implementation of Transport Equations in Composite Materials

Explores the implementation of transport equations in composite materials, covering resin/fiber interaction, boundary conditions, and mechanics of continuous media.

Parabolic Heat Equation: Modeling and Simulation

Explores the parabolic heat equation evolution and numerical solution methods.

Boundary Value Problems: Numerical Methods

Covers the motivation and examples of boundary value problems, the finite difference method, and the approximation of local derivatives.