Extrapolation

Formal sciences
Mathematics
Analysis
Numerical analysis

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Related lectures (10)

Numerical Differentiation: Richardson Extrapolation

Covers Richardson extrapolation for numerical differentiation to reduce error.

Numerical Integration: Simpson's Rule

Introduces Simpson's rule for numerical integration and Richardson extrapolation for accuracy improvement.

Universal Approximation Theorem: MLP

Covers Multi-Layer Perceptrons (MLP) and their application from classification to regression, including the Universal Approximation Theorem and challenges with gradients.

Splines: Fundamentals and Applications

Explores B-splines, natural cubic splines, and smoothing splines in regression problems and their practical applications.

Computation, Verification and Validation

Explains verification and validation in CFD simulations, focusing on Richardson extrapolation and accuracy checking.

Double Descent Curves: Overparametrization

Explores double descent curves and overparametrization in machine learning models, highlighting the risks and benefits.

Error Estimation and Numerical Integration

Explores error estimation in numerical integration and its applications in forecasting, emphasizing the Romberg method and Richardson extrapolation.

Numerical Integration: Lagrange Interpolation, Simpson Rules

Explains Lagrange interpolation for numerical integration and introduces Simpson's rules.

Rare Events and Extreme Modeling

Explores rare event modeling, challenges in estimating probabilities with limited data, and the application of extreme value theory in various fields.

Verification and validation

Covers the verification and validation process in numerical flow simulation, ensuring credibility of simulation outcomes.

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