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Related lectures (31)

Explains the Runge-Kutta methods, particularly the explicit scheme of order 4 (ERK4), and how to optimize parameters for accuracy.

Error Analysis and Stability in Numerical Methods

Covers error analysis, stability, and adaptive time stepping in numerical methods, including convergence order and equilibrium points.

Finite Element Method: Local Approach

Explores the local approach of the finite element method, covering elementary matrices, assembly operations, stiffness matrix, system of equations, and practical examples.

Time Integration: Numerical Flow Simulation

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

Absolute Stability of Euler Progressive Method

Explores the absolute stability of the Euler Progressive method and its significance in numerical solutions of differential equations.

Numerical methods: runge-kutta

Covers the Runge-Kutta method and its variations, discussing error minimization and stability in non-linear systems.

Finite Element Method Basics

Covers the basics of the Finite Element Method (FEM) for linear and nonlinear partial differential equations.

Ordinary Differential Equations: Methods and Applications

Explores ordinary differential equations and numerical integration methods for stability and accuracy.

Power Systems Dynamics: Transient Stability

Explores transient stability in power systems dynamics, covering algebraic equations, generator models, and numerical integration techniques.

Finite Element Method: Basics and Applications

Introduces the Finite Element Method for solving PDEs and demonstrates its application through examples and Comsol Multiphysics.

Numerical Methods for PDE

Explores numerical methods for solving PDEs, including FDM, FVM, and FEM, stiffness matrix calculations, nonlinear PDEs, error control, and patient-specific modeling.

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