Questions tagged [numerical-methods]

Algorithms which solve mathematical problems by means of numerical approximation (as opposed to symbolic computation).

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5
votes
1answer
2k views

Simple neural-network simulation in C++

The C++ code below simulates the timecourse of the membrane potential (V) of a population of 128 leaky integrate-and-fire ...
4
votes
1answer
225 views

Simple neural-network simulation in C++ (Round 2)

Intro Yesterday I posted this question. Since then, I've updated my code to incorporate these suggestions. I've also removed the dependence on C++11. Finally, I've made the following changes that ...
44
votes
8answers
8k views

Prettify math formula in code

I have a function to calculate the normal distribution in Python: ...
4
votes
1answer
141 views

Calculate the Euler-Mascheroni constant without the math module

The below code was written to generate γ, for educational purposes. Single threaded, no functional zeroes required, no binary splitting(which can all be used to compute competitively like y-cruncher, ...
7
votes
3answers
686 views

pure Python Bézier curve implementation

I came up with this recursive pure-Python implementation of De Casteljau's algorithm for computing points on a Bézier curve: ...
4
votes
1answer
217 views

Simple neural-network simulation in C++ (Round 4)

You may want to take a look at Rounds 1, 2, and 3, though that isn't necessary for understanding what's below. The major change since Round 3 is that my code is much cleaner and I'm including ...
4
votes
1answer
253 views

Simple neural-network simulation in C++ (Round 3)

As I mentioned at the end of my Round 2 answer, I've needed to expand my code in order to produce faithfully the data needed for Figure 1 of this paper. Unfortunately, the updates have made my script ...
2
votes
1answer
398 views

Multithreaded Monte Carlo pi approximation with own pseudorandom number generator

I made a Monte Carlo pi approximation program, that makes use of multithreading and a pseudorandom number generator I wrote (the one from big_wheel.hpp, which I ...
10
votes
1answer
1k views

Generate iCalendar .ics files with events for astrological aspects

I'm relatively new to Python, coming from a deep C++ background. I'm mostly looking for feedback on how to make my code more idiomatic/pythonic, but I would welcome and appreciate any and all other ...
5
votes
1answer
129 views

Approximating Pi with Polygons

I wrote a program that approximates Pi by using polygons. I used the formulars in the picture beyond. In my code they are called innerPoly (\$c_{2n}\$) and ...
5
votes
1answer
347 views

Verilog implementation of trapezoidal integration method

Any and all comments are welcome in this review. Problem I've been doing a lot with numerical integration methods recently and have mostly been programming in Python. But...speedups! And FPGAs are ...
4
votes
1answer
889 views

Gees - GPL Euler equation solver

As a little helper I recently had to write a code that solves the 1-D Euler equations. As it serves my purpose well I though others could make use of it as well. The homepage of the code can be found ...
3
votes
4answers
1k views

Computing integer square roots in Java - follow-up

(See the previous iteration.) My two previous methods for computing the integer square root of a number \$N\$ ran in the \$\mathcal{O}(\sqrt{N})\$ worst case time. Now I have added a method (...
3
votes
2answers
2k views

Use Newton's Method to compute sqrt(x)

Given the following task: Use Newton's method to compute the square root of a number. Newton's method involves successive approximation. You start with a guess, and then continue averaging ...
1
vote
1answer
43 views

Euler-Mascheroni Single Thread Speed Improvements

The below code was written to generate γ, for educational purposes. My general methodology is as follows: Compute Gamma via the accepted answer's algorithm here. In order to do this I need to ...