Lectures related to Parallel Flow Instability

Numerical Methods for Boundary Value Problems

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

Complex Hyperbolic and Trigonometric Functions

Explores complex hyperbolic and trigonometric functions, defining key properties and relationships with exponential functions.

Neurophysiological Data Analysis

Explores neurophysiological data analysis, covering AP identification, firing rates, subthreshold activity, FFT spectral analysis, and event-triggered analysis using MATLAB.

Image Processing in Fiji

Covers the basics of image processing using Fiji software, focusing on managing files and applying filters.

Harmonic Forms: Main Theorem

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Collision Kinetics: Theory and Applications

Covers the theory and applications of collision kinetics in understanding molecular interactions.

Matrix to Density Operator

Explains the transformation from a matrix to the density operator in quantum physics.

Numerical Methods: Boundary Value Problems

Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.

Parallel Flow Concepts: Mixing Layers Log in to Mediaspace to watch this video

Explores parallel flow concepts, focusing on mixing layers, dispersion relations, and stability analysis through eigenvalues.

Wave Equations Stability Log in to Mediaspace to watch this video

Explores resonant shallow water equations, stability analysis, eigenmodes, and clean modes in waves.

Quantum Chemistry Log in to Mediaspace to watch this video

Covers eigenvalues, eigenfunctions, Hermitian operators, and the measurement of observables in quantum chemistry.

Waves in Inhomogeneous Medium Log in to Mediaspace to watch this video

Explores waves in inhomogeneous media, covering initial and boundary conditions, numerical stability, eigen modes, and propagation principles.

Wave Equation Stability Log in to Mediaspace to watch this video

Explores the stability of the wave equation finite difference scheme and resonant excitation.

Complex Numbers: Applications and Representations Log in to Mediaspace to watch this video

Explores the origin, applications, and representations of complex numbers in crystallography and materials science, including their graphical, polar, and exponential forms.

Complex Numbers: Operations and Polar Form Log in to Mediaspace to watch this video

Explores complex numbers, operations, absolute value, and polar form, along with the analysis and graphic representation of complex numbers.

Complex Numbers: Operations and Properties Log in to Mediaspace to watch this video

Explores complex numbers, including modulus, conjugation, and Euler formula.

Python Crash Course Log in to Mediaspace to watch this video

Provides a Python crash course covering basic arithmetics, complex numbers, strings, lists, dictionaries, and more.

Numerical Methods for Physics: Iterative Solutions and Mesh Convergence Log in to Mediaspace to watch this video

Explores finite differences for solving linear systems from PDEs iteratively, emphasizing convergence criteria and exercises on singularities.

Stochastic Endowment Consumption Model Log in to Mediaspace to watch this video

Covers the stochastic endowment consumption model, log-linear transformation, impulse response solution, and Matlab codes.

Complex Analysis: Holomorphic Functions Log in to Mediaspace to watch this video

Explores holomorphic functions, Cauchy-Riemann conditions, and principal argument values in complex analysis.