Question

With Euler's method for differential equations, is it possible to take the limit as $h \to 0$ and get an exact approximation?

score 3.4k · Answer 1 · 2026-04-12 02:02:26

3.4k

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With Euler's method for differential equations, is it possible to take the limit as $h \to 0$ and get an exact approximation?

Published on 12 Apr 2026 - 2:02

score 1.6k · Answer 2 · 2026-04-09 21:00:08

1.6k

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Approximate a positive Sobolev function by positive smooth functions

Published on 09 Apr 2026 - 21:00

score 845 · Answer 3 · 2026-04-11 17:39:52

845

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Approximation with complex polynomials on $S^1$ - can it be done?

Published on 11 Apr 2026 - 17:39

score 3.5k · Answer 4 · 2011-10-29 20:04:09

3.5k

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Approximate the integral $\int_0^1 \sin(x^2) dx$

Published on 29 Oct 2011 - 20:04

score 2.5k · Answer 5 · 2026-04-13 03:37:24

2.5k

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Limit Question with Bernstein Polynomial approximating $f(x) = x^2$

Published on 13 Apr 2026 - 3:37

score 604 · Answer 6 · 2026-04-13 02:00:51

604

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Euler's method approximation

Published on 13 Apr 2026 - 2:00

score 4.6k · Answer 7 · 2026-04-13 03:06:16

4.6k

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Approximating a sum of exponential distribution with a normal distribution

Published on 13 Apr 2026 - 3:06

score 1.7k · Answer 8 · 2026-04-12 21:00:46

1.7k

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Triple Recursion Relation Coefficients

Published on 12 Apr 2026 - 21:00

score 63 · Answer 9 · 2011-10-30 22:48:36

63

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Euler's approximation of $m' = -\frac{m}{V}v$

Published on 30 Oct 2011 - 22:48

score 10.4k · Answer 10 · 2026-04-09 22:39:32

10.4k

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Help finding the absolute error with $n$th degree Taylor polynomials

Published on 09 Apr 2026 - 22:39

score 260 · Answer 11 · 2011-11-06 14:37:35

260

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Solve $\displaystyle\int_{0}^a \left(3^{\frac{1}{3} \left( x^3 - 3x \right) }-1\right)\, dx = 0$ using elementary methods

Published on 06 Nov 2011 - 14:37

score 144 · Answer 12 · 2026-04-13 04:36:39

144

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How can we approximate $\sum_{j=0}^n{\sum_{k=0}^j{c^j k^{1/2}}}$ by integrals?

Published on 13 Apr 2026 - 4:36

score 59 · Answer 13 · 2026-04-13 02:02:59

59

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Approximation of closest k-coloured points?

Published on 13 Apr 2026 - 2:02

score 618 · Answer 14 · 2026-04-13 16:49:17

618

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Approximating a system of differential equations as a Bézier curve

Published on 13 Apr 2026 - 16:49

score 452 · Answer 15 · 2011-11-10 20:51:03

452

Views

Polynomial approximation of $\chi^2$ distribution pdf

Published on 10 Nov 2011 - 20:51

List Question

With Euler's method for differential equations, is it possible to take the limit as $h \to 0$ and get an exact approximation?

Approximate a positive Sobolev function by positive smooth functions

Approximation with complex polynomials on $S^1$ - can it be done?

Approximate the integral $\int_0^1 \sin(x^2) dx$

Limit Question with Bernstein Polynomial approximating $f(x) = x^2$

Euler's method approximation

Approximating a sum of exponential distribution with a normal distribution

Triple Recursion Relation Coefficients

Euler's approximation of $m' = -\frac{m}{V}v$

Help finding the absolute error with $n$th degree Taylor polynomials

Solve $\displaystyle\int_{0}^a \left(3^{\frac{1}{3} \left( x^3 - 3x \right) }-1\right)\, dx = 0$ using elementary methods

How can we approximate $\sum_{j=0}^n{\sum_{k=0}^j{c^j k^{1/2}}}$ by integrals?

Approximation of closest k-coloured points?

Approximating a system of differential equations as a Bézier curve

Polynomial approximation of $\chi^2$ distribution pdf

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