Explores the wave equation for a vibrating string and its numerical solution using finite difference formulas and the Newmark scheme in MATLAB/GNU Octave.
Explains the Runge-Kutta methods, particularly the explicit scheme of order 4 (ERK4), and how to optimize parameters for accuracy.
Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.
Explores hyperbolic transport equations and numerical schemes, emphasizing higher-order methods and characteristics for exact solutions.
Covers multistep methods for solving differential equations, focusing on stability conditions and examples.
Introduces the Euler Forward Method for ODEs, focusing on error analysis and stability.
Explains the Implicit Euler Scheme, a method for solving differential equations numerically, focusing on stability and convergence properties.
Covers the fundamentals of waves, diffusion, and convection, focusing on the concepts of propagation, initial conditions, and boundary conditions.
