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Newest 'numerical-integration' Questions - Mathematica Stack Exchange
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Learn more about TeamsQuestions tagged [numerical-integration]
Questions on the use of numerical functions NIntegrate and NDSolve.
3,656 questions
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1
vote
2
answers
97
views
Error on numerical integation
Is there a way to obtain the error on a numerical integration using NIntegrate ?
I have try this answer https://mathematica.stackexchange.com/a/102469/111297, however it doesn't work, my integral is:
<...
1
vote
0
answers
53
views
Determinant with numerical value and Working precision
I have a matrix, with entries are series with numerical coefficients
$$
\begin{pmatrix}
G(q) & F(q) \\
F(q) & G(q\rightarrow-q)
\end{pmatrix}
$$
With $G(q)$ is an expansion obtained with <...
4
votes
1
answer
192
views
Generating Poincaré sections
I would like to reproduce the Poincaré sections presented in this and this papers, which look like
The figures are for energy values of E=0.2 (a) and E=0.25 (b) in the Hamiltonian, which reads
$$H=\...
2
votes
2
answers
97
views
Limit and NIntegrate do not commute
I am triggered about something, I have the following limit:
$$
\tiny \lim_{\beta \to \infty}
\left[\frac{k^2 y^2 \, sech^2\left(\frac{1}{4} \sqrt{4 - 4k^2 + k^4 + 4y^2} \,\beta\right)\left(\sqrt{4 - ...
6
votes
1
answer
384
views
How do you increase the precision and accuracy of the numerical approximation of the Volchkov integral?
There is a need to increase the number of correct decimal digits from this integral:
...
0
votes
0
answers
81
views
Series expansion from NIntegrate
I have a very nasty integrand
$$A(q,\Omega,k,\beta,y,x)= \int \mathrm{d}k \, \mathrm{d}x \, \mathrm{integrand_A}$$
where $\beta,y$ are numbers, and I integrate over $k$ and $x$ so at the end I only ...
7
votes
6
answers
446
views
NDSolve not able to adjust condition in ODE
I'm trying to solve the equation
\begin{align}
\epsilon_b\:\theta''(s)-(l-s)\cos\theta(s)=\epsilon_\gamma\sin\theta(s)\cos\theta(s),
\end{align}
with $0\leq s\leq l$ and
\begin{align}
\theta(0)=0\:\:\:...
2
votes
2
answers
189
views
How to use Schwarzschild geodesic equation in 2D with Energy
I'm trying to plot the motion of a star around a black hole by using the Schwarzschild equations in 2D. I will use only r and φ equations, while the equation for t will be obtained from the energy ...
0
votes
0
answers
102
views
How to solve a regular integral with divergence analytically
I want to analytically integrate this integration
$$\int_0^{1 - 3/rs}\left(\frac{9 \sqrt{3} \sqrt{\frac{1}{\left(1-\frac{2}{\eta }\right) \eta ^2 \left(\frac{\eta
^2}{1-\frac{2}{\eta }}-27\right)}}}...
0
votes
1
answer
62
views
Trouble with NIntegrate (errors: NIntegrate::inumri, Format::toobig)
I am working on a light-matter interaction project and I am stuck on an integration. The problem is as follows: I have a system of 16 equations with 16 unknowns. I can solve this system of equations (...
3
votes
1
answer
137
views
Effective numerical integration inside triangle
I want to integrate a function like
NIntegrate[f[x1] g[x2], {x1, 0, L}, {x2, x1, L}]
which is a triangle region. For every x1, ...
1
vote
1
answer
281
views
Errors in solving a complex equation: FindRoot and NIntegrate cannot converge
I am trying to numerically solve a complex equation eq[x,y,μ] that includes a complex integral. The integrand contains the inverse hyperbolic tangent function ...
3
votes
2
answers
179
views
1
vote
0
answers
62
views
Numerical inverse Fourier Transform of a singular function
I'm working on computing the inverse Fourier transform of a function derived from a matrix construction involving a Poisson-weighted system. Here's the relevant setup.The main object is a matrix-...
8
votes
1
answer
253
views
Generating natural structures with Mathematica
I am interested in Fomes Fomentarius or "Tinder Polypore" mushroom patterns
(original photo, diagrams of Voronoi and Delaunay):
At first it seems something simple, like a sunflower seed ...
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