Hyperbolic Transport Equations

This lecture covers the hyperbolic transport equations, focusing on the numerical schemes for solving them, such as Lax-Wendroff and upwind schemes. The instructor explains the characteristics of hyperbolic equations and their solutions, emphasizing the importance of higher-order schemes. The lecture also delves into the concept of characteristics and the exact solution method using characteristics. Various numerical methods and their stability are discussed, including the Lax-Wendroff scheme. The lecture concludes with a detailed analysis of the wave equation and its numerical solutions.