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Lecture
Numerical Derivatives of Order 1: Finite Differences Progressive
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Numerical Derivatives of Order 1
Covers the concept of numerical derivatives of order 1 and the importance of choosing a small fixed value for h.
Numerical Methods: Euler Schemes
Focuses on Euler schemes for numerical approximation of forces and velocities.
Finite Elements: Problem with Limits
Covers the application of finite element methods to solve boundary value problems in one dimension.
Finite Difference Methods: Stability Analysis
Explores the stability analysis of finite difference methods for solving differential equations.
Finite Differences Method: Error Division and Schemes
Covers error division and schemes for solving differential equations.
Finite Difference Method: Approximating Derivatives and Equations
Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.
Numerical Methods: Boundary Value Problems
Explores numerical methods for boundary value problems, including heat diffusion and fluid flow, using finite difference methods.
Ordinary Differential Equations: Non-linear Analysis
Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.
Numerical Differentiation: Finite Differences
Explores numerical differentiation using finite differences and addresses the impact of errors in computer computations.
System of ODEs
Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.