Approximation error

Related lectures (30)

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Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Discusses the binary representation of real numbers and the precision errors involved.

Covers the principles of quantum error correction, focusing on Shor's quantum error correction code.

Introduces floating point number representation, round-off errors, and their impact on numerical computations.

Summarizes the finite difference method for solving one-dimensional limit problems.

Explores the consequences of floating-point representation errors in programming, emphasizing precision and computational costs.

Covers the Lagrange polynomial interpolation method and error analysis in function approximation.

Explores finite differences formulas, error analysis, and numerical experiments in computational mathematics.

Analyzes the error in numerical derivatives using finite difference formulas.

Explores finite element interpolation using the Clément operator for non-continuous functions and discusses error estimation.