List questions from interpolation

Published on 21 Apr 2018 - 9:37

159

Views

Lagrange interpolation error.

Published on 16 Mar 2026 - 23:14

89

Views

Calculating interpolating polynomial with limited number of divisions

Published on 17 Mar 2026 - 20:53

22

Views

Interpolating polynomial - relation between uniqueness and the error of approximation

Published on 23 Apr 2018 - 20:43

206

Views

Chebychev polynomial nodes on a triangle

Published on 29 Apr 2018 - 0:00

768

Views

If we interpolate the function $f(x)=e^{x-1}$ with a polynomial $p$ of degree $12$ using $13$ nodes in $[-1,1]$, what is a good upper bound for

Published on 29 Apr 2018 - 1:50

418

Views

Prove that for all $x$, $\sum_{j=0}^{n}ℓ_j(x)=1$

Published on 30 Apr 2018 - 1:24

126

Views

Prove that the coefficient of $x^n$ in the polynomial $p(x)=\sum_{i=0}^{n}y_iℓ_i(x)$ is $\sum_{i=0}^{n}y_i\prod_{j=0, i\neq j}^{n}(x_i-x_j)^{-1}$

Published on 01 May 2018 - 1:52

935

Views

A polynomial parametric curve spanning known tangent end-points

Published on 23 Mar 2026 - 4:36

154

Views

Parabolic interpolation with Maple

Published on 25 Mar 2026 - 1:14

518

Views

Limit of divided differences.

Published on 06 May 2018 - 13:15

398

Views

How to find a general formula for any number sequence? $19,25,45,87,159$

Published on 08 May 2018 - 3:14

44

Views

Lanczos Splines

Published on 09 May 2018 - 12:44

362

Views

Polynomial interpolation of Bessel function

Published on 24 Mar 2026 - 23:51

66

Views

Notations to represent a smoothed function/variable

Published on 13 May 2018 - 14:16

List Question

Trigonometric vs Sinc Interpolation

Lagrange interpolation error.

Calculating interpolating polynomial with limited number of divisions

Interpolating polynomial - relation between uniqueness and the error of approximation

Chebychev polynomial nodes on a triangle

If we interpolate the function $f(x)=e^{x-1}$ with a polynomial $p$ of degree $12$ using $13$ nodes in $[-1,1]$, what is a good upper bound for

Prove that for all $x$, $\sum_{j=0}^{n}ℓ_j(x)=1$

Prove that the coefficient of $x^n$ in the polynomial $p(x)=\sum_{i=0}^{n}y_iℓ_i(x)$ is $\sum_{i=0}^{n}y_i\prod_{j=0, i\neq j}^{n}(x_i-x_j)^{-1}$

A polynomial parametric curve spanning known tangent end-points

Parabolic interpolation with Maple

Limit of divided differences.

How to find a general formula for any number sequence? $19,25,45,87,159$

Lanczos Splines

Polynomial interpolation of Bessel function

Notations to represent a smoothed function/variable

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