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.
Explores error estimation in numerical methods for solving differential equations, focusing on local truncation error, stability, and Lipschitz continuity.
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.
