Finite Element Method: Basics and Applications

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Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.

Explores numerical methods like Crank-Nicolson, Heun, Euler, and RK4 for solving ODEs, emphasizing error estimation and convergence.

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

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Explores elasto-gravity bending in thin sheets, covering bending energy, equilibrium shapes, and numerical methods.

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

Explores inference for stochastic differential equations, focusing on numerical methods and convergence analysis.

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