All Questions
Tagged with integration numerical-integration
9 questions
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handling symbolical and numerical nested integrals
I'm working on reproducing a calculation from this paper https://arxiv.org/abs/1712.03972 for my thesis but I'm struggling with how to properly implement the nested integrals in Python, specifically ...
- 101
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Numerical integration over part of a sphere
I want to numerically compute the surface integral,
$$
\int_0^{2\pi} d\phi \int_{\theta_0}^{\theta_1} d\theta \sin{\theta} f(\theta,\phi)
$$
Is there a clever transformation from this integral over ...
- 1,078
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Quadrature on an interval $[0,h]$ for $f\in C^3$ vanishing at zero
Cross-posted at Math SE
I am studying for an exam and I would like to receive feedback on my solution to a past problem on numerical integration and/or receive suggestions about how to improve my ...
- 131
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Calculating Debye functions to high accuracy (hundreds of bits), is it possible to be faster than generic quadrature?
The Debye functions are defined like so: ${D_n\left(x\right)} = {\frac{n}{x^n} \cdot {\int_0^x{\frac{t^n}{e^t - 1}dt}}}$.
I'm trying to evaluate the functions for $n$ from one to four and for $\left\...
- 121
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How to minimize a numerical integration in python?
I need some help to minimize a numerical integration. It's about a classical problem in physics (hydrogen atom). It can be solved analytically but I need to solve it numerically in Python.
We have an ...
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Am I doing leapfrog integration correctly?
I wrote this minimal example to examine the Leapfrog integration algorithm.
However, I am not sure it is the correct algorithm, and the listing is giving the correct output.
Is this the Leapfrog ...
- 93
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Understanding leapfrog integration algorithm
The leapfrog.cpp is an implementation of leapfrog integration algorithm where f() function is being integrated:
leapfrog.cpp
<...
- 93
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Matching the limits of integration with the proper variables in a complicated case when using scipy.integrate.nquad
I need to integrate expressions containing powers of the function:
...
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