quadpy | : triangular_ruler : Numerical integration | Math library
kandi X-RAY | quadpy Summary
kandi X-RAY | quadpy Summary
your one-stop shop for numerical integration in python. more than 1500 numerical integration schemes for line segments, circles, disks, triangles, quadrilaterals, spheres, balls, tetrahedra, hexahedra, wedges, pyramids, n-spheres, n-balls, n-cubes, n-simplices, the 1d half-space with weight functions exp(-r), the 2d space with weight functions exp(-r), the 3d space with weight functions exp(-r), the nd space with weight functions exp(-r), the 1d space with weight functions exp(-r2), the 2d space with weight functions exp(-r2), the 3d space with weight functions exp(-r2), and the nd space with weight functions exp(-r2), for fast integration of real-, complex-, and vector-valued functions. for example, to numerically integrate any function over any given interval, install quadpy
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QUESTION
I want to calculate integral of implicit function containing imaginary numbers
where f(iz) is something like:
and g(ix) is something like:
I want to calculate it numerically. Python scipy.quad
doesn't calculate integrals of imaginary numbers (explained in Code 1 below). Quadpy
isn't efficient also, because it passes entire numpy array instead of single values of integral (explained in code 2 below) and thus needs additional manipulation. So I am thinking about dividing integrals like in the way shown below (where Re is real part and Im is imaginary part):
and expanding above equation:
Can I do that?
And here are codes, where I show two ways to approach the problem.
Code 1:
First approach scipy.quad
. According to:
Use scipy.integrate.quad to integrate complex numbers
I tried dividing into real and imaginary parts and calculating integral values of them separately:
ANSWER
Answered 2021-May-27 at 09:21This is my interpretation of your integral
The answer about how to generalize the integral can be extended to double integral (provided by dblquad function).
QUESTION
I am having difficulty computing multiple integrals of functions with taking array inputs. I would like to use scipy.integrate's nquad function
because I need to be able to integrate from -np.inf to np.inf
(I'm working with probability density functions). The issue is nquad expects a function to be formulated like this:
function(x_1, x_2, ..., x_n)
The functions I need to integrate over take this form:
function(np.array([x_1, x_2, ..., x_n]))
Is there a way to change a function that takes an array to accept multiple arguments? If not, is there an alternative to nquad? I tried using quadpy, but it said my integral was over 31, when the actual value was 1.
Thanks for the help.
...ANSWER
Answered 2021-Feb-11 at 19:20I have found the solution. I fixed the issue by creating a wrapper function taking in *args, converting args to a numpy array, and integrating the wrapper function.
Here's an example:
QUESTION
I am interested in doing a 2D numerical integration. Right now I am using the scipy.integrate.dblquad
but it is very slow. Please see the code below. My need is to evaluate this integral 100s of times with completely different parameters. Hence I want to make the processing as fast and efficient as possible. The code is:
ANSWER
Answered 2020-Apr-06 at 13:08Generally it is much, much faster to do a summation via matrix operations than to use scipy.integrate.quad (or dblquad). You could rewrite your f(q, z, t) to take in a q, z and t vector and return a 3D-array of f-values using np.tensordot, then multiply your area element (dtdz) with the function values and sum them using np.sum. If your area element is not constant, you have to make an array of area-elements and use np.einsum To take your integration limits into account you can use a masked array to mask the function values outside your integration limits before summarizing. Take note that np.einsum overlooks the masks, so if you use einsum you can use np.where to set function values outside your integration limits to zero. Example (with constant area element and simple integration limits):
QUESTION
I am using quadpy to integrate a function in python.
Function ...ANSWER
Answered 2020-Apr-14 at 09:05After some more experimenting I have found that quadpy's quad method takes the same argument as scipys quad method, which can be found here:
Using the epsabs, epsrel, limit
optional arguments I can thus prevent the error:
QUESTION
Win 10, Python 3.7, Scipy 1.3.2, Anaconda
I was looking at this question on here.
I tried out the code in the answer,
...ANSWER
Answered 2020-Mar-29 at 16:31According to the release notes, scipy.integrate.quad_vec
was released with scipy version 1.4.0. Thus you need to upgrade your scipy.
QUESTION
Hello I would like to know how to use a for loop to go through a list and insert an element after each other element in a new list.
I have looked at this link Insert element in Python list after every nth element
but when I tried that method it was giving me the exact same problem when implementing it in my code
...ANSWER
Answered 2020-Mar-29 at 06:39Inserting into the middle of a list a bunch of times is going to be very slow for a large dataset. It seems like you can just build a new list like you're doing:
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