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Lecture
Finite Elements: Problem with Limits
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Finite element methods
Covers finite element methods for solving diffusion problems in porous media, including meshing, interpolation, and weighted residuals.
Finite Differences in Advection-Diffusion
Explores the explicit 2-level scheme for advection-diffusion and the convergence of digital solutions.
Numerical Analysis: Solving Linear Systems in Higher Dimensions
Covers numerical analysis and optimization, focusing on solving linear systems in higher dimensions using finite difference methods.
Numerical Analysis: Advanced Topics
Covers advanced topics in numerical analysis, focusing on techniques for solving complex mathematical problems.
Finite Elements: Crash Course on Elliptic Problems
Provides a crash course on finite elements for elliptic problems, emphasizing the Galerkin method and quasi-optimality.
ODEs: Introduction and Solutions
Covers Ordinary Differential Equations, first-order solutions, and numerical methods for IVP and BVP.
Numerical Differentiation and Integration
Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.