Lectures related to Parallel Flow Instabilities

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Explores the diagonalization of linear maps by finding a basis formed by eigenvectors.

Explores spectral clustering theory, eigenvalue decomposition, Laplacian matrix, and practical applications in identifying clusters.

Explains the postulates of Quantum Mechanics, focusing on self-adjoint operators and mathematical notation.

Covers the calculation of eigenvalues and eigenvectors, emphasizing their significance and applications.

Explores computational methods in quantum physics, emphasizing exact diagonalization and space discretization techniques.

Covers the Bloch sphere representation and Larmor precession in spin 1/2 systems.

Explores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.

Explores canonical basis, linear mapping, and eigenvalues in linear algebra.

Explores stability analysis in linear systems, emphasizing eigenvalues, eigenvectors, and stable manifolds.

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

Explores instability in thermal convection, finite difference methods, and Marangoni convection patterns.

Explores the diagonalization of matrices through eigenvalues and eigenvectors, emphasizing the importance of bases and subspaces.

Explores eigenvalues, eigenvectors, and methods for solving linear systems with a focus on rounding errors and preconditioning matrices.

Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.

Covers eigenvalues, eigenvectors, and the Fibonacci sequence, exploring their mathematical properties and practical applications.

Covers the process of diagonalizing matrices, focusing on symmetric matrices and the spectral theorem.

Explores eigenvalues and eigenvectors in matrices through examples and calculations.

Explores fluid-solid coupling dynamics, stability analysis, and system response to external disturbances using MATLAB simulations.

Covers matrix eigenvalues, eigenvectors, and their linear independence.