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

score 1.8k · Answer 1 · 2026-04-09 03:40:09

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

Published on 09 Apr 2026 - 3:40

score 1.4k · Answer 2 · 2026-04-08 07:17:54

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Steffensen's method. Consider the iteration formula $x_{n+1}=x_n-f(x_n)/g(x_n)$ where $g(x)=[f(x+f(x))-f(x)]/f(x)$. Show that this quadratically

Published on 08 Apr 2026 - 7:17

score 103 · Answer 3 · 2026-04-02 04:10:10

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Why the numerical values of $\int\limits_{-a}^{a} e^{-x^{e}}\ \text{d}x $ are not real?

Published on 02 Apr 2026 - 4:10

score 41 · Answer 4 · 2026-03-27 05:15:48

41

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How can we deal with this kind of boundary value problem for ODEs?

Published on 27 Mar 2026 - 5:15

score 277 · Answer 5 · 2026-04-10 08:07:40

277

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Initial Value Problems with unique solution

Published on 10 Apr 2026 - 8:07

score 857 · Answer 6 · 2026-03-26 17:33:00

857

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How to evaluate the sum of infinite series numerically?

Published on 26 Mar 2026 - 17:33

score 79 · Answer 7 · 2026-04-09 02:01:57

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Solve $n * \lceil{\frac{R}{T}}\rceil - \lceil{\frac{Rn}{T} - \frac{xn}{T}}\rceil = \frac{x * n}{C}$ for x and n, $n \in Z^+$ and $x,R,T,C \in R^+$

Published on 09 Apr 2026 - 2:01

score 82 · Answer 8 · 2026-04-09 02:45:37

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Random Numbers - the most common Value of $(x_1^2+y_1^2+...+x_N^2+y_N^2)/N$

Published on 09 Apr 2026 - 2:45

score 187 · Answer 9 · 2026-04-09 00:04:10

187

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Does it hold that $\kappa(A^2) = \kappa(A)^2$?

Published on 09 Apr 2026 - 0:04

score 689 · Answer 10 · 2018-03-05 15:36:36

689

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Define $x_0=0$ and $x_{n+1}=x_n-[(\tan x_n-1)/\sec^2x_n]$. What is $\lim_{n\to \infty}x_n$ in this example? Relate this to Newton's method.

Published on 05 Mar 2018 - 15:36

score 224 · Answer 11 · 2026-04-10 23:33:02

224

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Comparing runge kutta and modified Euler solutions

Published on 10 Apr 2026 - 23:33

score 213 · Answer 12 · 2026-04-11 10:49:05

213

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Solving a DAE (differential algebraic equation)

Published on 11 Apr 2026 - 10:49

score 873 · Answer 13 · 2026-04-09 03:08:13

873

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Local truncation error for trapezoidal rule

Published on 09 Apr 2026 - 3:08

score 1.1k · Answer 14 · 2026-04-08 09:02:31

1.1k

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Devise a Newton iteration formula for computing $\sqrt[3]{R}$ where $R>0$. Perform a graphical analysis of your function $f(x)$ to determine

Published on 08 Apr 2026 - 9:02

score 3.1k · Answer 15 · 2026-03-25 01:17:08

3.1k

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Perturbation Theory: Approximation of an inverse of a matrix

Published on 25 Mar 2026 - 1:17

List Question

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

Steffensen's method. Consider the iteration formula $x_{n+1}=x_n-f(x_n)/g(x_n)$ where $g(x)=[f(x+f(x))-f(x)]/f(x)$. Show that this quadratically

Why the numerical values of $\int\limits_{-a}^{a} e^{-x^{e}}\ \text{d}x $ are not real?

How can we deal with this kind of boundary value problem for ODEs?

Initial Value Problems with unique solution

How to evaluate the sum of infinite series numerically?

Solve $n * \lceil{\frac{R}{T}}\rceil - \lceil{\frac{Rn}{T} - \frac{xn}{T}}\rceil = \frac{x * n}{C}$ for x and n, $n \in Z^+$ and $x,R,T,C \in R^+$

Random Numbers - the most common Value of $(x_1^2+y_1^2+...+x_N^2+y_N^2)/N$

Does it hold that $\kappa(A^2) = \kappa(A)^2$?

Define $x_0=0$ and $x_{n+1}=x_n-[(\tan x_n-1)/\sec^2x_n]$. What is $\lim_{n\to \infty}x_n$ in this example? Relate this to Newton's method.

Comparing runge kutta and modified Euler solutions

Solving a DAE (differential algebraic equation)

Local truncation error for trapezoidal rule

Devise a Newton iteration formula for computing $\sqrt[3]{R}$ where $R>0$. Perform a graphical analysis of your function $f(x)$ to determine

Perturbation Theory: Approximation of an inverse of a matrix

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