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Lecture
Differential Equations: Numerical Methods
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Related lectures (30)
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Power Systems Dynamics: Transient Stability
Explores transient stability in power systems dynamics, covering algebraic equations, generator models, and numerical integration techniques.
Differential Equations: Speed Variation Analysis
Covers the analysis of speed variation using differential equations and small time intervals.
Elasto-gravity Bending: Mechanics of Slender Structure
Explores the deformations of an inextensible sheet bent under self-weight and its equilibrium shapes under gravity.
Numerical Methods: Runge-Kutta Approximation
Covers the Runge-Kutta method for approximating solutions of differential equations.
Finite Differences Method: Error Division and Schemes
Covers error division and schemes for solving differential equations.
Linear Differential Equations: Constant Coefficients and Solution Methods
Covers linear differential equations with constant coefficients and introduces the method of good choice for finding particular solutions.
Cauchy Problem Resolution: General Solution Approach
Covers the resolution of a Cauchy problem using a general solution approach for differential equations.
Higher Order Schemes
Explores higher-order schemes for solving differential equations and their stability analysis compared to other methods.
Convergence: Euler's Method
Explores stability and convergence in numerical methods for ODEs, focusing on Euler's progressive method.
High Order Methods: Space Discretisation
Covers high order methods for space discretisation in linear differential systems.