Lectures related to Inverse Power Method: Introduction to ODEs

Numerical Analysis: Nonlinear Equations

Covers algorithms for solving mathematical problems approximately using a computer, including nonlinear equations and numerical approximation methods.

Eigenvalue Problems: Methods and Applications

Explores eigenvalue problems, iterative methods, convergence properties, and applications in computational physics.

Linear Algebra: Eigenvalues and Eigenvectors

Explores eigenvalues, eigenvectors, diagonalization, and spectral theorem in linear algebra.

Runge-Kutta Methods: Approximating Differential Equations

Covers the stages of the explicit Runge-Kutta method for approximating y(t) with detailed explanations.

Numerical Methods: Boundary Value Problems

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

Exam Problems: Nonlinear Equations & ODEs

Covers exam-like problems on nonlinear equations, ODEs, and numerical methods.

Elasto-Gravity Bending: Energy and Equilibrium

Explores elasto-gravity bending in thin sheets, covering bending energy, equilibrium shapes, and numerical methods.

Differential Equations: Speed Variation Analysis

Covers the analysis of speed variation using differential equations and small time intervals.