Computational Fluid Dynamics Courses

International Centre for Theoretical Sciences

Computational Principles of Sensorimotor Control - Lecture 1

Explore computational principles of sensorimotor control, including optimal feedback control, state estimation, motor learning, and Bayesian decision theory in human movement and robotics.

• YouTube
• 1 hour 25 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Capturing Turbulent Dynamics and Statistics in Experiments Using Exact Coherent States

Explore turbulent dynamics using Exact Coherent States, revealing coherent structures in experiments, forecasting turbulent evolution, and providing a geometric description of transient turbulence.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Non-Equilibrium Dynamics of Inhomogeneous Fluids by Sutapa Roy

Explore non-equilibrium dynamics of inhomogeneous fluids, focusing on colloidal particles in binary solvents. Learn about phase transitions, critical points, and phenomena like coalescence, nucleation, and aging.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Surface Critical Dynamics and Casimir Forces in a Binary Fluid by Sutapa Roy

Explore critical dynamics and Casimir forces in binary fluids through molecular dynamics simulations, focusing on surface properties, scaling behavior, and correlation functions in confined fluid systems.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

The Computational Theory of Riemann-Hilbert Problems - Lecture 4

Explores computational approaches to Riemann-Hilbert problems, covering Cauchy integrals, Sobolev spaces, and applications to nonlinear equations like Schrödinger and KdV, with code demonstrations and numerical solution techniques.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

The Computational Theory of Riemann-Hilbert Problems - Lecture 1

Explore computational approaches to Riemann-Hilbert problems, covering key concepts like Cauchy integrals and analytic functions. Gain insights into this fundamental topic in mathematical physics.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Computational Aspects of Finite p-Groups - Lecture 1

Explore computational techniques in finite p-groups, including polycyclic presentations, normal forms, and collection algorithms. Learn about central series, consistency checks, and weighted power-commutator presentations.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

S. Chandrasekhar's Fluid Dynamics by Katepalli Raju Sreenivasan

Explore S. Chandrasekhar's contributions to fluid dynamics, scaling in physics, and turbulent mixing through lectures by Katepalli Raju Sreenivasan, covering theoretical concepts and their applications.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Dynamics of 2+1-dimensional Quantum Field Theory - Lecture 2

Explore advanced concepts in 2+1D quantum field theory, focusing on symmetries, topology, and duality. Gain insights into recent developments and their applications across physics disciplines.

• YouTube
• 1 hour 35 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

The Topological Dirac Operator and the Dynamics of Topological Signals

Explore topological signals, higher-order Laplacians, and the Dirac operator in network science. Learn about spectral properties, diffusion dynamics, and topological synchronization in simplicial complexes and multiplex networks.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Liquid Crystals Dynamics - What Persistent Homology Reveals

Explore liquid crystal phase transitions through persistent homology, revealing thermodynamic features and structural changes in nanocomposites using advanced data analysis techniques.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Nonlinear Dynamics in an Age of Heuristic Science

Explore nonlinear dynamics through combinatorial topology, offering efficient computational methods and new perspectives for multiscale systems and data-driven science in biology and engineering.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Exploring Brain Dynamics During Ongoing Cognition Using Mapper

Exploring brain dynamics using Mapper: analyzing fMRI data with geometric techniques to reveal whole-brain activity patterns and predict task performance in multitask paradigms.

• YouTube
• 29 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Nonlinear Dynamics, High Dimensional Data, and Persistent Homology

Explore nonlinear dynamics, high-dimensional data analysis, and persistent homology with Konstantin Mischaikow. Learn about algebraic topology applications, persistence diagrams, and recent advancements in data science.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

International Mathematical Union

Kenji Nakanishi - Global Dynamics Around and Away From Solitons

Explore global dynamics of nonlinear dispersive PDEs, focusing on solitons in Klein-Gordon and Schrödinger equations. Analyze stability, multi-soliton interactions, and open questions in soliton behavior.

• YouTube
• 39 minutes
• Self-Paced
• Free Video