Euler Retrograde Scheme

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Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

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Finite Differences and Finite Elements: Variational Formulation

Discusses finite differences and finite elements, focusing on variational formulation and numerical methods in engineering applications.

Error Estimation in Numerical Methods

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

Numerical Analysis: Jupyter Notebook Tutorial

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Numerical Analysis of Differential Equations

Covers the numerical analysis of differential equations, focusing on methods and stability conditions.

Numerical Methods: Euler Schemes

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

System of ODEs

Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.

Finite Differences Method

Covers the finite differences method for approximating solutions to differential equations through discretization and linear systems.

Elasto-gravity Bending: Mechanics of Slender Structure

Explores the deformations of an inextensible sheet bent under self-weight and its equilibrium shapes under gravity.