Lectures related to Differential Equations: Approximation Methods and Analysis

Predictor-Corrector Method: Harmonic Oscillator

Explores the Predictor-Corrector method for the harmonic oscillator and Runga-Kutta method in differential equations.

Focuses on Euler schemes for numerical approximation of forces and velocities.

Differential Equations: Solution Methods

Explores the resolution of differential equations and the properties of exponential functions in electrical engineering.

Advanced Analysis II: Variation of Constants Method

Covers the variation of constants method for solving first-order linear differential equations, detailing its steps and implications for general and particular solutions.

Implicit Schemes in Numerical Analysis

Explores implicit schemes in numerical analysis, emphasizing stability and convergence properties in solving differential equations.

Euler Forward Method

Introduces the Euler Forward Method for ODEs, focusing on error analysis and stability.

Cauchy Problem Resolution: General Solution Approach

Covers the resolution of a Cauchy problem using a general solution approach for differential equations.

Multistep methods

Covers multistep methods for solving differential equations, focusing on stability conditions and examples.