Finite Element Method: Local Approach

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Numerical Methods: Boundary Value Problems

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

Gaussian Elimination Method

Covers the Gaussian elimination method for solving linear equations using row operations on matrices.

Numerical Methods: Euler Schemes

Focuses on Euler schemes for numerical approximation of forces and velocities.

Finite Element Method: Basics

Introduces the basics of the finite element method, including strong and weak formulations.

Linear Equations: Consistency and Solutions

Explores the consistency and general solutions of linear equation systems using matrices and elementary row operations.

Finite Element Method: Key Concepts

Covers the key concepts behind the Finite Element Method and its applications in linear statics.

Numerical Methods for PDE

Explores numerical methods for solving PDEs, including FDM, FVM, and FEM, stiffness matrix calculations, nonlinear PDEs, error control, and patient-specific modeling.

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Ordinary Differential Equations: Non-linear Analysis

Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.

Finite Element Method: Global Equivalence and Shape Functions

Discusses the equivalence of strong and weak formulations in the finite element method.