Question

Sum of Lagrange polynomials: $\sum_{i=0}^{n}L_i(0)x_i^{n+1} = (-1)^{n}x_0\cdot\cdots\cdot x_n $.

score 509 · Answer 1 · 2026-04-16 14:23:04

509

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Sum of Lagrange polynomials: $\sum_{i=0}^{n}L_i(0)x_i^{n+1} = (-1)^{n}x_0\cdot\cdots\cdot x_n $.

Published on 16 Apr 2026 - 14:23

score 264 · Answer 2 · 2026-04-13 19:58:33

264

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Error upper bound for higher-order forward finite difference for numerical differentiation

Published on 13 Apr 2026 - 19:58

score 84 · Answer 3 · 2026-04-09 14:16:20

84

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Numerical integration. Quadrature formula.

Published on 09 Apr 2026 - 14:16

score 133 · Answer 4 · 2026-04-11 01:53:07

133

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Parametrization of curve with linearly increasing curvature

Published on 11 Apr 2026 - 1:53

score 2.2k · Answer 5 · 2026-04-21 14:49:54

2.2k

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Is Backward-Euler method considered the same as Runge Kutta $2^{\text{nd}}$ order method?

Published on 21 Apr 2026 - 14:49

score 379 · Answer 6 · 2026-03-26 03:00:19

379

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Convergence of Laczos method

Published on 26 Mar 2026 - 3:00

score 1k · Answer 7 · 2026-04-13 16:19:07

1k

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Log transforming an ODE

Published on 13 Apr 2026 - 16:19

score 515 · Answer 8 · 2026-04-15 06:58:30

515

Views

How to calculate the clothoid (egg-curve) between two circles in the same direction

Published on 15 Apr 2026 - 6:58

score 150 · Answer 9 · 2026-04-11 22:57:10

150

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How can I use Gauss-Legendre cuadrature to solve integral equation?

Published on 11 Apr 2026 - 22:57

score 163 · Answer 10 · 2026-03-25 04:43:30

163

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The Distribution of Abscissae and Sums of Weights in Gaussian Quadrature

Published on 25 Mar 2026 - 4:43

score 129 · Answer 11 · 2026-04-15 19:04:04

129

Views

find $(x,y,z)$ that minimizes $\frac{\sum_{i=1}^{N}(a_i x + b_i y+ c_i z)^2}{\sum_{i=1}^{N}(d_{i} x + e_{i} y+ f_{i} z)^2}$

Published on 15 Apr 2026 - 19:04

score 161 · Answer 12 · 2026-04-10 10:36:46

161

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Eigenfunctions of Parabolic Differential Operator`

Published on 10 Apr 2026 - 10:36

score 1.4k · Answer 13 · 2026-04-10 12:28:58

1.4k

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Limitations of Marc-32 machine numbers

Published on 10 Apr 2026 - 12:28

score 176 · Answer 14 · 2026-04-16 17:25:19

176

Views

Find $\mathbf{X}$ that minimizes ${tr(\mathbf{X}^T\mathbf{P}\mathbf{X})}/{tr(\mathbf{X}^T\mathbf{Q}\mathbf{X})}$

Published on 16 Apr 2026 - 17:25

score 33 · Answer 15 · 2026-04-16 00:45:00

33

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Comparison of two different versions of Taylor expansion

Published on 16 Apr 2026 - 0:45

List Question

Sum of Lagrange polynomials: $\sum_{i=0}^{n}L_i(0)x_i^{n+1} = (-1)^{n}x_0\cdot\cdots\cdot x_n $.

Error upper bound for higher-order forward finite difference for numerical differentiation

Numerical integration. Quadrature formula.

Parametrization of curve with linearly increasing curvature

Is Backward-Euler method considered the same as Runge Kutta $2^{\text{nd}}$ order method?

Convergence of Laczos method

Log transforming an ODE

How to calculate the clothoid (egg-curve) between two circles in the same direction

How can I use Gauss-Legendre cuadrature to solve integral equation?

The Distribution of Abscissae and Sums of Weights in Gaussian Quadrature

find $(x,y,z)$ that minimizes $\frac{\sum_{i=1}^{N}(a_i x + b_i y+ c_i z)^2}{\sum_{i=1}^{N}(d_{i} x + e_{i} y+ f_{i} z)^2}$

Eigenfunctions of Parabolic Differential Operator`

Limitations of Marc-32 machine numbers

Find $\mathbf{X}$ that minimizes ${tr(\mathbf{X}^T\mathbf{P}\mathbf{X})}/{tr(\mathbf{X}^T\mathbf{Q}\mathbf{X})}$

Comparison of two different versions of Taylor expansion

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