Lectures related to Numerical Methods: Lecture 4

Covers the derivation of multi-group diffusion equations and the numerical methods for solving the neutron diffusion equation.

Covers error analysis, stability, and adaptive time stepping in numerical methods, including convergence order and equilibrium points.

Covers the numerical approach to derivative calculation, focusing on formulas and methods such as fine differences.

Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.

Explores numerical methods for flow simulation, including finite element, spectral, particle, and lattice Boltzmann methods.

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

Covers Richardson extrapolation for numerical differentiation to reduce error.