Question

the highest degree of the polynomial, for which the above formula is exact?

score 364 · Answer 1 · 2026-03-19 03:05:03

364

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the highest degree of the polynomial, for which the above formula is exact?

Published on 19 Mar 2026 - 3:05

score 415 · Answer 2 · 2026-03-19 23:45:30

415

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Why not simply use sine weights with Clenshaw-Curtis nodes?

Published on 19 Mar 2026 - 23:45

score 901 · Answer 3 · 2026-03-23 08:57:50

901

Views

High accuracy root finder of Legendre polynomials' derivatives?

Published on 23 Mar 2026 - 8:57

score 614 · Answer 4 · 2026-03-22 12:09:17

614

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Ancient Greek proofs of Archimedes' three properties of the parabola?

Published on 22 Mar 2026 - 12:09

score 716 · Answer 5 · 2026-03-24 05:56:11

716

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how to implement adaptive gaussian (kronrod?) quadrature (technicalities)

Published on 24 Mar 2026 - 5:56

score 1.8k · Answer 6 · 2026-03-19 21:49:31

1.8k

Views

Gauss-Legendre vs Gauss-Chebyshev quadratures (and Clenshaw-Curtis)

Published on 19 Mar 2026 - 21:49

score 74 · Answer 7 · 2026-03-22 13:57:07

74

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Can a recursive, continuous integral be approximated with Gauss-Legendre or similar?

Published on 22 Mar 2026 - 13:57

score 3.1k · Answer 8 · 2026-03-23 08:16:35

3.1k

Views

Gaussian Quadrature Error Estimate

Published on 23 Mar 2026 - 8:16

score 164 · Answer 9 · 2026-03-22 07:35:14

164

Views

Composite Lagrangian Quadrature rule for sin(x)

Published on 22 Mar 2026 - 7:35

score 388 · Answer 10 · 2026-03-20 16:37:08

388

Views

Integration using Gauss-Laguerre quadrature

Published on 20 Mar 2026 - 16:37

score 488 · Answer 11 · 2026-03-23 08:57:56

488

Views

Quadrature exact for polynomials up to degree 3

Published on 23 Mar 2026 - 8:57

score 201 · Answer 12 · 2026-03-17 17:22:17

201

Views

Proof of Newton–Cotes quadrature rules, I guess?

Published on 17 Mar 2026 - 17:22

score 97 · Answer 13 · 2026-03-17 01:52:16

97

Views

Error of a quadrature applied to an approximation of a function with its own error

Published on 17 Mar 2026 - 1:52

score 239 · Answer 14 · 2026-03-17 08:04:17

239

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3D Gauss-Hermite Quadrature

Published on 17 Mar 2026 - 8:04

score 102 · Answer 15 · 2026-03-17 00:38:32

102

Views

Approximate Solution for $\int_{E_T}^\infty \frac{2 E b^\nu}{\Gamma (\nu)} \int_0^\infty x^{\nu -2}\exp(-b x)\exp(-(A^2 + E^2)/x) I_0(2EA/x) dx dE$

Published on 17 Mar 2026 - 0:38

List Question

the highest degree of the polynomial, for which the above formula is exact?

Why not simply use sine weights with Clenshaw-Curtis nodes?

High accuracy root finder of Legendre polynomials' derivatives?

Ancient Greek proofs of Archimedes' three properties of the parabola?

how to implement adaptive gaussian (kronrod?) quadrature (technicalities)

Gauss-Legendre vs Gauss-Chebyshev quadratures (and Clenshaw-Curtis)

Can a recursive, continuous integral be approximated with Gauss-Legendre or similar?

Gaussian Quadrature Error Estimate

Composite Lagrangian Quadrature rule for sin(x)

Integration using Gauss-Laguerre quadrature

Quadrature exact for polynomials up to degree 3

Proof of Newton–Cotes quadrature rules, I guess?

Error of a quadrature applied to an approximation of a function with its own error

3D Gauss-Hermite Quadrature

Approximate Solution for $\int_{E_T}^\infty \frac{2 E b^\nu}{\Gamma (\nu)} \int_0^\infty x^{\nu -2}\exp(-b x)\exp(-(A^2 + E^2)/x) I_0(2EA/x) dx dE$

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