Skip to main content
Mathematics

Questions tagged [numerical-methods]

Ask Question

Questions on numerical methods; methods for approximately solving various problems that often do not admit exact solutions. Such problems can be in various fields. Numerical methods provide a way to solve problems quickly and easily compared to analytic solutions.

13 questions from the last 30 days
Newest Active Bountied Unanswered
2 votes
4 answers
229 views

I'm trying to find a problem about right triangles with a minimalist statement that isn't too obvious. Here's what I've come up with : ABC is an A–right triangle, H is the orthogonal projection of A ...
Jamil Sanjakdar's user avatar
  • 1,748
8 votes
0 answers
172 views

The algorithm is quite simple. Let's start with some definitions. Take an integer $k$ of length $N$ we can denote its digits from left to right as $k=k_0k_1... k_{N-1}$. Now let $k_{rev}$ be the ...
AgentM's user avatar
  • 205
1 vote
0 answers
154 views

Recurrence formula for $\pi$ with convergence order $2m+1$: $$ x_{n+1} = x_n + \sum_{k=1}^{m} \left[ (-1)^{m+k} \cdot \frac{1}{k} \prod_{\substack{j=1 \\ j \ne k}}^{m} \frac{j^{2}}{k^{2} - j^{2}} \...
vengy's user avatar
  • 2,575
1 vote
0 answers
49 views

I am trying to get an overview of "all" (usable) numerical conformal mapping methods, and here is what I found/ read up on so far. Anyone who is an expert in the field who wants to correct/ ...
arridadiyaat's user avatar
  • 187
0 votes
0 answers
52 views

I have a certain dataset which contains $x-y$ components of a vector quantity $\vec{F}$. The $x-y$ points are such that they essentially discretize a curve which encloses the origin. I want to compute ...
ishan_ae's user avatar
  • 141
0 votes
0 answers
50 views

We have three types of basic numerical differentation: Forward, Backward and Central defined as such: Forward difference (uniform grid) $\frac{df}{dt}\Big|_{t = t_i} \approx \frac{f_{i+1} - f_i}{\...
Leif's user avatar
  • 1,559
0 votes
0 answers
37 views

For reasons not directly relevant to the question, I am constructing a function basis in $\mathbb{R}^3$ by taking the tensor product of the fourier basis (up to discretization). I must now come up ...
Makogan's user avatar
  • 3,857
1 vote
0 answers
38 views

I have several sets of experimental data representing borehole diametrical closure versus distance along a borehole. Each dataset shows a general smooth trend (for example, a small increase followed ...
Saeed's user avatar
  • 11
0 votes
0 answers
49 views

Consider the equation: $$ \partial_tu=D\partial_{xx}^2u $$ with reflecting boundary condition at $x=0$ and with $u(x,0)=\delta(x)$ as an initial distribution. First question: How should I understand a ...
scleronomous's user avatar
  • 1
1 vote
0 answers
24 views

I want to pinpoint the times where an output waveform of an electronic circuit has a specific value. This is a root-finding problem but to my knowledge root finders don't guarantee to find all roots ...
Marcel Hendrix's user avatar
  • 11
1 vote
0 answers
34 views

I am given f(x)=cosh(x) and asked to estimate f’(0.6) using Richardson Extrapolation to the highest possible accuracy. I computed the centered difference using h1=0.2 and h2=h1/2=0.1 I got D(0.1)=0....
Eme's user avatar
  • 11
0 votes
0 answers
24 views

I want to implement a numerical method for conformal mapping of a mesh on the disk to some simply connected bounded Jordan region whose boundary is parametrized by a Fourier series. I was looking at ...
arridadiyaat's user avatar
  • 187
0 votes
0 answers
12 views

I am trying to proof this by induction Proposition (Boundary values under clamped knots): Let $\{t_i\}_{i=1}^{m=n+k}$ be a clamped knot sequence of order $k$ on the interval $[a,b]$, that is, $$ t_1 = ...
amilton moreira's user avatar
  • 339