Lectures related to Design of a Detention Basin

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

Covers derivation, integration, and simulation in Matlab, along with the representation of numbers and potential errors.

Explains Lagrange interpolation for numerical integration and introduces Simpson's rules.

Covers numerical methods for solving the neutron diffusion equation and addressing heterogeneous effects in thermal reactors.

Explores inference for stochastic differential equations, focusing on numerical methods and convergence analysis.

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

Explores the sensitivity of solutions in numerical methods, including linear systems and matrix norms, with an example of deblurring images.

Covers Richardson extrapolation for numerical differentiation to reduce error.