Lectures related to Numerical Methods in Hydrodynamics

Inhomogeneities in the Universe

Delves into gravitational instability, structures formation, and CMB temperature, exploring the inhomogeneities in the Universe.

Inhomogeneities in the Universe

Explores the Sunyaev-Zel'dovich effect, Planck SZ clusters, and the Cosmic Microwave Background detection.

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Cosmological Puzzles: Dark Matter and Energy

Explores fundamental cosmological puzzles related to dark matter and energy.

Numerical Methods for Boundary Value Problems

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

Unitarity and Entropy: From Black Holes to Baryons

Explores the connection between unitarity and entropy, from black holes to baryons, revealing universal bounds and similarities.

Gravitational Lensing Analysis

Covers the analysis of gravitational lensing in galaxy clusters, focusing on the mass distribution and precision achieved in the mass model of the galaxy cluster MACSJ0416.1-2403.

Verification and validation

Covers the verification and validation process in numerical flow simulation, ensuring credibility of simulation outcomes.

Other Topics: Techniques for Fluid Interfaces

Explores numerical methods for fluid dynamics and techniques for handling fluid interfaces.

Numerical Differentiation: Part 1

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

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Numerical Differentiation: Backward and Central Differences

Explores backward and central differences for numerical differentiation, analyzing their properties and error analysis.

The Matter Content in the Universe

Explores the matter content in the universe, including galaxy mass, dark matter relics, and the history of the universe.

Numerical Methods in Biomechanics: Hip-A

Explores numerical methods in biomechanics for hip implants and emphasizes understanding conditions for improved designs and patient outcomes.

Astrophysical Fluids & Plasmas

Explores the composition of the cosmos, dynamics of fluids and plasmas, and conservation equations.

Astrophysical Fluids & Plasmas

Explores astrophysical fluids, plasmas, MHD, turbulence, and plasma oscillations, including Faraday rotation for measuring cosmic magnetic fields.

Time Integration: Unsteady Simulation Methods

Explores numerical methods for unsteady flow simulation, emphasizing time integration techniques and boundedness criteria.

Finite Difference Method: Approximating Derivatives and Equations

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

Numerical Methods: Boundary Value Problems

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

Baryogenesis and Dark Matter: Cosmic Origins

Discusses baryogenesis and dark matter, focusing on their cosmic significance and the processes involved in their formation.