Numerical Differentiation

Related lectures (29)

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Discusses numerical derivatives of order 1 and the effects of rounding errors on calculations.

Covers numerical differentiation and integration techniques using examples and quadrature formulas.

Explores challenges in polynomial approximation, stability issues, and error analysis in numerical differentiation.

Explores numerical differentiation methods and round-off errors in computer computations.

Explores floating point numbers, LU decomposition, errors in numerical computations, and the impact of round-off errors.

Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.

Covers derivation, integration, and simulation in Matlab, along with the representation of numbers and potential errors.

Covers numerical differentiation, integration, finite differences, Taylor expansions, and interpolation polynomials.

Covers the concept of numerical derivatives of order 1 and the importance of choosing a small fixed value for h.

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