Lectures related to Multistep methods

Differential Equations: General Solutions and Methods

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Time Integration: Numerical Flow Simulation

Covers time integration methods for numerical flow simulation, emphasizing accuracy and reliability.

High Order Methods: Space Discretisation

Covers high order methods for space discretisation in linear differential systems.

Cauchy Problem Resolution: Differential Equations Overview

Covers the resolution of a Cauchy problem for a first-order linear differential equation, detailing the construction of its general solution and the determination of initial conditions.

Ordinary Differential Equations: Error Analysis

Explores error analysis in ordinary differential equations and convergence criteria for numerical methods.

Material Point Model: Basics

Covers the material point model, initial conditions, and Newton's laws in physics.

Predictor-Corrector Method: Harmonic Oscillator

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