Question

Can I use the Netwon-Raphson method to solve a function that is a quadrature approximation of an arc-length integral?

score 66 · Answer 1 · 2026-04-11 07:39:39

66

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Can I use the Netwon-Raphson method to solve a function that is a quadrature approximation of an arc-length integral?

Published on 11 Apr 2026 - 7:39

score 217 · Answer 2 · 2026-04-17 13:37:55

217

Views

Piecewise Gauss-Legendre quadrature order of convergence

Published on 17 Apr 2026 - 13:37

score 1.2k · Answer 3 · 2026-04-13 09:10:02

1.2k

Views

Why is the Gaussian-Legendre Quadrature so effective?

Published on 13 Apr 2026 - 9:10

score 213 · Answer 4 · 2026-04-12 12:57:11

213

Views

Given the following composite quadrature rule find the error

Published on 12 Apr 2026 - 12:57

score 271 · Answer 5 · 2026-03-25 12:47:28

271

Views

Numerically solving integrals with singular endpoints

Published on 25 Mar 2026 - 12:47

score 61 · Answer 6 · 2026-04-12 08:31:24

61

Views

A parametric jump discontinuity of a definte integral

Published on 12 Apr 2026 - 8:31

score 522 · Answer 7 · 2026-04-14 00:43:00

522

Views

Gaussian-hermite quadrature points and weights, numerical accuracy/stability

Published on 14 Apr 2026 - 0:43

score 87 · Answer 8 · 2026-04-19 23:00:12

87

Views

If $2 \sum_{j=0}^{n}a_jf(x_j)$ is a quadrature for $\int_{-1}^1f(x)dx$ exact for polynomials of degree $\le n$ and $x_j=-x_{n-j}$, show $a_j=a_{n-j}$.

Published on 19 Apr 2026 - 23:00

score 100 · Answer 9 · 2026-04-15 22:50:55

100

Views

Convergence of Gaussian-Quadrature measure

Published on 15 Apr 2026 - 22:50

score 125 · Answer 10 · 2026-04-10 16:39:43

125

Views

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

Published on 10 Apr 2026 - 16:39

score 164 · Answer 11 · 2026-05-10 15:49:53

164

Views

Gaussian Quadrature Proof

Published on 10 May 2026 - 15:49

score 259 · Answer 12 · 2026-04-15 21:22:05

259

Views

Gauss-Lobatto quadrature and nodal points for FEM

Published on 15 Apr 2026 - 21:22

score 254 · Answer 13 · 2026-04-11 13:42:04

254

Views

Chini's equation or Bernoulli equation? How to use quadrature?

Published on 11 Apr 2026 - 13:42

score 193 · Answer 14 · 2026-04-10 20:47:44

193

Views

Unclear choice of polynomial in Gaussian Quadrature method?

Published on 10 Apr 2026 - 20:47

score 439 · Answer 15 · 2026-04-14 01:50:55

439

Views

Show that a polynomial of degree 2n+2 exists such that the integration is not exact

Published on 14 Apr 2026 - 1:50

List Question

Can I use the Netwon-Raphson method to solve a function that is a quadrature approximation of an arc-length integral?

Piecewise Gauss-Legendre quadrature order of convergence

Why is the Gaussian-Legendre Quadrature so effective?

Given the following composite quadrature rule find the error

Numerically solving integrals with singular endpoints

A parametric jump discontinuity of a definte integral

Gaussian-hermite quadrature points and weights, numerical accuracy/stability

If $2 \sum_{j=0}^{n}a_jf(x_j)$ is a quadrature for $\int_{-1}^1f(x)dx$ exact for polynomials of degree $\le n$ and $x_j=-x_{n-j}$, show $a_j=a_{n-j}$.

Convergence of Gaussian-Quadrature measure

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

Gaussian Quadrature Proof

Gauss-Lobatto quadrature and nodal points for FEM

Chini's equation or Bernoulli equation? How to use quadrature?

Unclear choice of polynomial in Gaussian Quadrature method?

Show that a polynomial of degree 2n+2 exists such that the integration is not exact

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