Lectures related to Energy Conservation in Wave Equations

Cauchy Problem: Existence and Uniqueness of Solutions

Covers the Cauchy problem, focusing on the existence and uniqueness of solutions to differential equations.

Differential Equations: Modeling Physical and Biological Phenomena

Covers differential equations and their applications in modeling various phenomena.

Covers the definition and solution of Cauchy-Euler equations, which are second-order differential equations with specific form and solutions.

Separable Differential Equations

Explores the theorem of existence and uniqueness for differential equations and the method to find the general solution.

Advanced Analysis II: Second Order Linear Differential Equations

Covers second order linear differential equations, focusing on solution construction and the concept of linear independence among solutions.

Error Estimation in Numerical Methods

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