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Lecture
Finite Difference Grids
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Finite Difference Method: Approximating Derivatives and Equations
Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.
Computational Geomechanics: Unconfined Flow
Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.
Numerical Methods: Boundary Value Problems
Explores boundary value problems, finite difference method, and Joule heating examples in 1D.
Numerical Methods for Boundary Value Problems
Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.
Heat Equation in 1D: Chapter 12
Explores the heat equation in 1D, emphasizing conservation of thermal energy and numerical solution 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: Week 4
Explores transient flow in porous media, covering governing equations, stability conditions, and numerical methods.
Finite Element Analysis: Advanced Mechanisms in Engineering
Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.
Finite Differences in Advection-Diffusion
Explores the explicit 2-level scheme for advection-diffusion and the convergence of digital solutions.
Numerical Methods: Boundary Value Problems
Explores numerical methods for boundary value problems, including heat diffusion and fluid flow, using finite difference methods.