List questions from numerical-calculus

39

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Can stability of computation of best least squares polynomial 1d approximation depend on x scale/shift?

Published on 25 Mar 2026 - 23:38

9.2k

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Finite differences second derivative as successive application of the first derivative

Published on 23 Feb 2026 - 6:20

530

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Discretization formula for system of differential equations. "Solution to one of these is the initial condition of the other". In which sense?

Published on 14 Jul 2020 - 18:04

70

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How many solutions does $15\cos x = x$ have on $[0,5\pi]$?

Published on 17 Jul 2020 - 11:27

225

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Show numeric unstability of Cramer's rule

Published on 23 Jul 2020 - 17:49

55

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On k-regular functions

Published on 24 Jul 2020 - 8:35

30

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Numerical simulation for a bounded process. Is slight deviation a "normal" fact?

Published on 25 Mar 2026 - 18:44

158

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Numerical sphere-plane collision resolve

Published on 26 Jul 2020 - 16:38

385

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Big $\mathscr{O}$ notation - division operation

Published on 25 Mar 2026 - 18:45

149

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Abramowitz formula for Gauss-Legendre's weights

Published on 25 Mar 2026 - 4:37

102

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Which functions have the same arc length to the origin at every point as the signed curvature at the point?

Published on 31 Jan 2023 - 0:41

33

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What is a numerical boundary layer?

Published on 01 Feb 2023 - 8:27

222

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Numerical integration: The composite Newton-Cotes formulas, uniqueness and inductive definition for a given order of exactneness

Published on 25 Mar 2026 - 19:05

125

Views

The Lobatto quadrature formula

Published on 25 Mar 2026 - 6:01

60

Views

Multidimensional Matrix Newton's Method problem

Published on 15 Feb 2023 - 16:13

List Question

Can stability of computation of best least squares polynomial 1d approximation depend on x scale/shift?

Finite differences second derivative as successive application of the first derivative

Discretization formula for system of differential equations. "Solution to one of these is the initial condition of the other". In which sense?

How many solutions does $15\cos x = x$ have on $[0,5\pi]$?

Show numeric unstability of Cramer's rule

On k-regular functions

Numerical simulation for a bounded process. Is slight deviation a "normal" fact?

Numerical sphere-plane collision resolve

Big $\mathscr{O}$ notation - division operation

Abramowitz formula for Gauss-Legendre's weights

Which functions have the same arc length to the origin at every point as the signed curvature at the point?

What is a numerical boundary layer?

Numerical integration: The composite Newton-Cotes formulas, uniqueness and inductive definition for a given order of exactneness

The Lobatto quadrature formula

Multidimensional Matrix Newton's Method problem

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