List questions from numerical-calculus

Published on 27 Oct 2020 - 23:19

233

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Why would an ill-conditioned problem not be solvable with much accuracy when using floating-point arithmetic?

Published on 29 Oct 2020 - 19:37

116

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Why are the forward error not computable?

Published on 30 Oct 2020 - 10:29

64

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Numerical Approximation of the derivative

Published on 30 Oct 2020 - 20:43

237

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Why is a relative forward error enough for computations?

Published on 30 Oct 2020 - 21:22

191

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How to improve the precision of this approximation

Published on 27 Mar 2026 - 10:16

84

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Removing the subtractive cancellation of $(a+x)^n - a^n$ as x approaches zero

Published on 04 Nov 2020 - 19:18

150

Views

Numerical methods/analysis forums

Published on 05 Nov 2020 - 8:34

98

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Convergence of Gaussian-Quadrature measure

Published on 25 Mar 2026 - 12:54

234

Views

Is there a way to simplify $(4)$ by factoring out $\varepsilon\Delta t$?

Published on 13 Nov 2020 - 19:12

80

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Show $\sum_{k=1}^n \frac{(n-1)!}{k!(n-k)!(10n)^{k-1}} \leq 1.06$

Published on 15 Nov 2020 - 21:03

123

Views

Has anyone performed the error analysis for Trapezoidal Rule but with non-uniform grid?

Published on 25 Mar 2026 - 14:22

29

Views

Wrong exponential using numpy?

Published on 20 Nov 2020 - 15:13

56

Views

How to avoid overflows and numerical issues when computing derivatives?

Published on 23 Feb 2026 - 8:19

39

Views

For minimisation problems why do use the negative gradient to move towards a minimum?

Published on 26 Nov 2020 - 20:00

List Question

A Householder matrix as a product of Givens matrices

Why would an ill-conditioned problem not be solvable with much accuracy when using floating-point arithmetic?

Why are the forward error not computable?

Numerical Approximation of the derivative

Why is a relative forward error enough for computations?

How to improve the precision of this approximation

Removing the subtractive cancellation of $(a+x)^n - a^n$ as x approaches zero

Numerical methods/analysis forums

Convergence of Gaussian-Quadrature measure

Is there a way to simplify $(4)$ by factoring out $\varepsilon\Delta t$?

Show $\sum_{k=1}^n \frac{(n-1)!}{k!(n-k)!(10n)^{k-1}} \leq 1.06$

Has anyone performed the error analysis for Trapezoidal Rule but with non-uniform grid?

Wrong exponential using numpy?

How to avoid overflows and numerical issues when computing derivatives?

For minimisation problems why do use the negative gradient to move towards a minimum?

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