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Related lectures (29)
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Numerical Differentiation
Discusses numerical differentiation, error analysis, and finite difference formulas.
Numerical Differentiation and Integration
Covers numerical differentiation and integration techniques using examples and quadrature formulas.
Power Systems Dynamics: Transient Stability
Explores transient stability in power systems dynamics, covering algebraic equations, generator models, and numerical integration techniques.
Numerical Optimization with Scipy
Introduces numerical optimization with Scipy, covering zero finding, problem dimensionality, derivatives, and advanced visualization techniques.
Real Numbers and Functions
Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.
Numerical Derivatives: First Order, Backward Finite Difference Formulas
Discusses the error between f'(x0) and its approximation using a backward finite difference formula.
Numerical Derivatives of Order 1: Finite Difference Centered
Covers numerical derivatives of order 1 using the finite difference centered formula.
Polynomial Approximation: Stability and Error Analysis
Explores challenges in polynomial approximation, stability issues, and error analysis in numerical differentiation.
Finite Differences Formulas: Error Analysis
Explores finite differences formulas, error analysis, and numerical experiments in computational mathematics.
Convection Diffusion: Equations and Finite Difference Methods
Covers the convection diffusion equation and its numerical approximation methods.