# Questions tagged [numerical-methods]

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

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### Trapezoidal rule for set of data

Here is the question from the book of Mark Newman-Computational Physics Exc 5.1 a) Read in the data and, using the trapezoidal rule, calculate from them the approximate distance traveled by the ...
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### Evaluating π using Monte Carlo methods - Serial vs OMP

I wrote this simple code for evaluating the π using Monte Carlo method. This is the serial version: ...
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### Parallel Ramanujan's formula for 1/π calculation

I finished my university project for calculating $1/\pi$ and I would love to get some feedback. Before you guys jump into this code please keep in mind newcomer to C++ just decided to use it for ...
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### Linear Interpolation C++

I have to write a collection of methods for performing linear, bilinear and trilinear interpolation. I have also to write some tests to show that interpolation is exact for polynomials (which should ...
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### Continuous Fourier integrals by Ooura's method

I have a PR implementing Ooura and Mori's method for continuous Fourier integrals. I used it here to compute an oscillatory integral that Mathematica got completely wrong, and then I thought "well ...
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### Numerical integration in cython

I have a set of nested functions that I need to call multiple times. I know scipy.quad is pretty fast, but I will need to call the integrator recursively and want ...
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### Simple function that simulates survey results based on sample size and probability

What is this: This is a simple function, part of a basic Monte Carlo simulation. It takes sample size and probability as parameters. It returns the simulation result (positive answers) plus the input ...
81 views

### Calculating pi via collisions

This code calculates pi via collisions; it asks for a user input of N which determines the mass of the second block. It is fully working, it just takes forever to run when N >= 2. I want to be able ...
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### Monte Carlo pi animation

I have created a program that calculates pi using a Monte Carlo method. It also animates the process and displays the value as it is updated to show how it gets closer and closer to the actual value ...
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### C++ Pi Calculator - Leibniz Formula

Yesterday I saw a CodeTrain video in where Daniel Shiffman tried to approximate Pi using the Leibniz series. It was interesting so I decided to try it too. I wrote this console application with a ...
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### Monte Carlo errors estimation routine

I would value your opinion on the following piece of code. I am rather new to both Python and Monte Carlo analysis, so I was wondering whether the routine makes sense to more experienced and ...
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### Implementation of Brent's Algorithm to find roots of a polynomial

I made a program that contains a root-finding algorithm for polynomials as a function and contains 3 test polynomials. The algorithm is Brent's method and is based entirely off the pseudocode from ...
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### Java Pi Calculation using an Averaged-Leibniz formula

While trying to discover a way to calculate the digits of Pi faster with the Leibniz formula for Pi, I noticed that, if I took two consecuent numbers in the series, and calculate their average, I ...
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### PI Calculator, Interview Challenge

Greg Beech says here that he asks C# candidates to produce a formula that calculates PI Given that Pi can be estimated using the function $4 * (1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \dots)$. ...
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### A simple clusterness measure of data in one dimension using Java

Problem definition Given $X = (x_1, \dots, x_n)$ such that $x_1 \leq x_2 \leq \dots \leq x_n$. Let $x_{\min} = \min X = x_1$, $x_{\max} = \max X = x_n$ and $r = x_{\max} - x_{\min}$. Also, ...
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### Polynomial implementation in Golang

I am writing a numerical analysis library in golang for which I need to implement a polynomial struct. Here is the source code: ...
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### Discrete Lanczos Derivatives

I have a PR implementing denoising discrete Lanczos derivatives, following this paper. The following code works well, but the design is a train wreck, and I was hoping to get some advice to improve it....
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### Simulating a two-body collision problem to find digits of Pi

I came across a nice video on 3Blue1Brown's channel that highlights a very indirect way to find the digits in Pi. I'd suggest watching the whole video, but briefly: The setup is as above. A "small" ...
167 views

### Compute PI in Kotlin on a T-shirt

I have written code in Kotlin with the objective of computing Pi in few enough lines so that it looks good on a t-shirt. Can be cut and paste into http://try.kotlinlang.org under "My Programs" and ...
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### Numeric double integration

I've made a simple program for numerically aproximating double integral, which accepts that the bounds of the inner integral are functions: ...
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### Python numerical integration

Could the time complexity of this definite integral algorithm be improved? ...