Question

Prove that there is exactly one element for interpolation in a Chebyshev system

score 27 · Answer 1 · 2021-11-17 00:45:04

27

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Prove that there is exactly one element for interpolation in a Chebyshev system

Published on 17 Nov 2021 - 0:45

score 146 · Answer 2 · 2021-11-28 04:51:34

146

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Chebyshev polynomials semigroup property $T_n \circ T_m = T_{nm}$

Published on 28 Nov 2021 - 4:51

score 46 · Answer 3 · 2021-12-04 09:22:54

46

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How to show the approximation of $1-T_{1 / L}(1 / \delta)^{-2}$ when $L$ is large and $\delta$ is small?

Published on 04 Dec 2021 - 9:22

score 158 · Answer 4 · 2021-12-26 17:03:02

158

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Chebyshev equation for shifted Chebyshev polynomials of the first kind

Published on 26 Dec 2021 - 17:03

score 110 · Answer 5 · 2021-12-27 15:34:53

110

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Derive Rodrigues' formula for Chebyshev Polynomials from Chebyshev DE

Published on 27 Dec 2021 - 15:34

score 72 · Answer 6 · 2021-12-28 09:41:09

72

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Prove a recurrence relation for Dolph-Chebyshev function

Published on 28 Dec 2021 - 9:41

score 419 · Answer 7 · 2022-02-09 00:33:22

419

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Efficiently approximating the integral of $\operatorname{erf}(x y) \exp(-x^2)$

Published on 09 Feb 2022 - 0:33

score 216 · Answer 8 · 2022-02-10 16:02:03

216

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What is the coefficient of the power $x^{n-2}$ in a Chebyshev polynomial?

Published on 10 Feb 2022 - 16:02

score 187 · Answer 9 · 2022-02-13 18:38:12

187

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Chebyshev Polynomial of degree 3

Published on 13 Feb 2022 - 18:38

score 52 · Answer 10 · 2022-02-15 17:55:42

52

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Fractional exponent elementary symmetric polynomials.

Published on 15 Feb 2022 - 17:55

score 197 · Answer 11 · 2022-02-23 03:59:50

197

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Is it possible to impose periodic boundary conditions on Chebyshev differentiation matrix?

Published on 23 Feb 2022 - 3:59

score 551 · Answer 12 · 2022-02-25 03:51:04

551

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Approximating sin(x) with Chebyshev interpolation up to a certain error threshold.

Published on 25 Feb 2022 - 3:51

score 500 · Answer 13 · 2022-02-28 07:06:33

500

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Eigenvalues for discretization matrix in Poisson equation with finite difference

Published on 28 Feb 2022 - 7:06

score 77 · Answer 14 · 2026-02-23 08:34:16

77

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The envelope for the extremals of $\cos((n+1) \arccos x)-\cos((n-1) \arccos x)$ forms an ellipse.

Published on 23 Feb 2026 - 8:34

score 197 · Answer 15 · 2022-03-26 16:11:04

197

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Using generating functions to construct or solve differential equations

Published on 26 Mar 2022 - 16:11

List Question

Prove that there is exactly one element for interpolation in a Chebyshev system

Chebyshev polynomials semigroup property $T_n \circ T_m = T_{nm}$

How to show the approximation of $1-T_{1 / L}(1 / \delta)^{-2}$ when $L$ is large and $\delta$ is small?

Chebyshev equation for shifted Chebyshev polynomials of the first kind

Derive Rodrigues' formula for Chebyshev Polynomials from Chebyshev DE

Prove a recurrence relation for Dolph-Chebyshev function

Efficiently approximating the integral of $\operatorname{erf}(x y) \exp(-x^2)$

What is the coefficient of the power $x^{n-2}$ in a Chebyshev polynomial?

Chebyshev Polynomial of degree 3

Fractional exponent elementary symmetric polynomials.

Is it possible to impose periodic boundary conditions on Chebyshev differentiation matrix?

Approximating sin(x) with Chebyshev interpolation up to a certain error threshold.

Eigenvalues for discretization matrix in Poisson equation with finite difference

The envelope for the extremals of $\cos((n+1) \arccos x)-\cos((n-1) \arccos x)$ forms an ellipse.

Using generating functions to construct or solve differential equations

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