System of ODEs

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Related lectures (29)

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Ordinary Differential Equations: Non-linear Analysis

Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.

Euler Forward Method

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

Euler Backward Method: ODEs

Explores the Euler backward method for ODEs, discussing stability, error reduction, and implicit vs explicit methods.

Numerical Differentiation: Part 1

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Error Estimation in Numerical Methods

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

Finite Difference Methods: Stability Analysis

Explores the stability analysis of finite difference methods for solving differential equations.

Runge-Kutta Methods: Approximating Differential Equations

Covers the stages of the explicit Runge-Kutta method for approximating y(t) with detailed explanations.

Numerics: semester project

Covers the semester project on numerics, focusing on adaptive algorithms and multistep methods.

High Order Methods: Space Discretisation

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

Numerical Methods: Euler Schemes

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