Lectures related to Radiative Transport Equation

Radiative Transport Equation

Explores the Radiative Transport Equation in tissue optics, covering radiance, photon distribution, and numerical solutions like Monte Carlo simulations.

Numerical Modelling of the Atmosphere

Focuses on numerical modelling of atmospheric processes to predict weather and climate phenomena, covering key concepts and methods.

Monte Carlo Methods in Thermal Radiation: Applications and Solutions

Discusses the application of Monte Carlo methods to thermal radiation and energy transfer in participating media.

Computational Geomechanics: Week 4

Explores transient flow in porous media, covering governing equations, stability conditions, and numerical methods.

High Order Methods: Space Discretisation

Covers high order methods for space discretisation in linear differential systems.

Numerical Methods: Euler and Crank-Nicolson

Covers Euler and Crank-Nicolson methods for solving differential equations.

Radiative Transfer in Participating Media: Key Concepts and Equations

Discusses radiative transfer in participating media, focusing on key concepts like attenuation, extinction coefficients, and the radiative transfer equation.

Radiative Properties of Particulate Media: Theory and Applications

Discusses the radiative properties of particulate media, including scattering and absorption efficiencies.

Nuclear Reactors: Multigroup Theory

Covers the basics of nuclear reactors, including nuclear fission, neutron diffusion, and multigroup theory.

Numerical Differentiation: Part 1

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

System of ODEs

Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.

Numerical Methods: Boundary Value Problems

Explores numerical methods for boundary value problems, including heat diffusion and fluid flow, using finite difference methods.

Hyperbolic Problems: Transport Equation

Covers hyperbolic problems and the transport equation, emphasizing the importance of weak solutions and the conservative transport equation.

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.

Numerical Differentiation and Integration

Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.

Numerical Methods for ODEs: Crank-Nicolson, Heun, Euler, RK4

Explores numerical methods like Crank-Nicolson, Heun, Euler, and RK4 for solving ODEs, emphasizing error estimation and convergence.

Introduction to Numerical Methods for PDEs

Covers the numerical approximation of PDEs and examples of nonlinear behavior.

Power Systems Dynamics: Transient Stability

Explores transient stability in power systems dynamics, covering algebraic equations, generator models, and numerical integration techniques.

Thomas algorithm, accuracy of direct methods

Explores the Thomas algorithm for tridiagonal systems and the accuracy of direct methods in numerical computations.

Error Estimation in Numerical Methods

Explores error estimation in numerical methods for solving ordinary differential equations, emphasizing the impact of errors on solution accuracy and stability.