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Lecture
Sensor Behavior in Channels
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Convergence of Langevin Monte Carlo: Tail Growth and Smoothness
Explores the convergence of Langevin Monte Carlo algorithms under different growth rates and smoothness conditions, emphasizing fast convergence for a wide class of potentials.
Transport Equations: Convection and Diffusion
Explores transport equations, emphasizing conservation principles and scheme stability.
Convection Diffusion: Equations and Finite Difference Methods
Covers the convection diffusion equation and its numerical approximation methods.
Numerical Methods: Boundary Value Problems
Explores numerical methods for boundary value problems, including heat diffusion and fluid flow, using finite difference methods.
Multigroup Theory: Main Equations and Numerical Solution
Covers the derivation of multi-group diffusion equations and the numerical methods for solving the neutron diffusion equation.
Heat and Mass Transfer: Fundamentals and Applications
Explores heat and mass transfer fundamentals, applications, and examination details.
Transfer Phenomena: Heat and Mass Transfer
Introduces heat and mass transfer principles and their practical applications in various phenomena, along with details about the examination format.
Example: 1D steady diffusion
Explores the numerical simulation of steady convection-diffusion problems, discretization, boundary conditions, and algebraic system assembly.
Diffusion on a Limited Domain
Covers time-dependent diffusion on a limited domain with boundary conditions and solution methods.
Mass Transfer: Two Phase Flow and Heat Transfer
Covers two-phase flow, heat transfer, Nukiyama's experiment, and the analogy between mass and heat transfer.