# Questions tagged [algorithms]

A description of the specific steps needed to solve a particular problem in an unambiguous way, expressed in an abstract form.

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### Asymptotic complexity of fixed-rank SVD

According to the Wikipedia article on Singular Value Decomposition, the asymptotic complexity of computing the SVD of an arbitrary m×n matrix M with m>n by the popular Householder QR methods is O(...
35 views

### Integer $u$ is known to divide integer $v$. Division algorithms for computing $v÷u$?

Integer $u$ is known to divide integer $v$. Division algorithms for computing $v÷u$? Let $0 \lt u \lt v$ are numbers such that $u \mid v$. Are there algorithms (computer technology) that can use this ...
4k views

### How to get ODE solution at specified time points?

The code below basically illustrates my problem. It is a test code for a pendulum. I solve it using a method suggested on https://stackoverflow.com/questions/12926393/using-adaptive-step-sizes-with-...
46 views

### How to select initial time step in adaptive time step ODE solver (TR-BDF2)

The Problem I am currently reconstructing a TR-BDF2 scheme which contains the following two stages: \begin{align} y_{n+\gamma} & = y_n + \gamma \frac{h}{2}\left( f_n + f_{n+\gamma} \right) \...
90 views

### What is Voronoi particle tracking?

I've been trying to track this down, but google is giving paywall papers that don't appear to be directly related to computational science, or simply don't explain the source algorithm. There's an ...
83 views

### Which algorithms(paper) should be reproduced by a student to enter the field of computational fluid-structure interaction?

We'd better not to reinvent the wheel. But without some programming, one can hardly understand computational fluid-structure interaction. And I would like to know which papers or algorithms should a ...
82 views

### Dealing neighbor list in NVT Monte Carlo (MC) simulation

I'm making a NVT Monte Carlo (MC) simulation code with only short range interaction. I found many MC tutorial codes (usually Lennard-Jones system) in online. However, most of them are doing energy ...
28 views

### Bipartite Euclidean Matching simple to implement approximate algorithm

I am looking for a simple to implement algorithm for the bipartite euclidean matching problem (or an implementation of any practical algorithm). I am aware of Agarwal's paper, but I would like to ...
58 views