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Question 1

1vote

0answers

30views

Richardson Extrapolation to the highest possible accuracy to evaluate a function derivative

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=0.1I gotD(0.1)=0....

Eme

11

askedyesterday

Question 2

1vote

0answers

125views

Is this recurrence for $\pi$ with order $2m+1$ already known? [closed]

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

2,573

asked2 days ago

Question 3

2votes

4answers

228views

What is the length of the height AH?

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

1,748

askedNov 24 at 18:20

Question 4

0votes

0answers

52views

What would be the recommended approach to compute line integral in the 2D plane?

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

141

askedNov 19 at 14:56

Question 5

0votes

0answers

37views

Quadrature rule for tensor product of fourier basis

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

3,857

askedNov 16 at 21:30

Question 6

1vote

0answers

24views

Relation between companion matrix, characteristic polynomial, and points where time waveforms of a system become zero

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

11

askedNov 14 at 17:12

Question 7

8votes

0answers

172views

What's the pattern behind the algorithm of repeatedly taking a number and subtracting its reverse digits?

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

205

askedNov 13 at 19:03

Question 8

0votes

0answers

24views

efficient differentiation of composition of elementary complex maps

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

187

askedNov 12 at 18:10

Question 9

0votes

0answers

50views

Which type of numerical differentation (forward, backward, central) is better suited for magnetic field data

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

1,559

askedNov 11 at 4:29

Question 10

1vote

0answers

38views

How can I smooth noisy experimental data while preserving the overall shape and monotonic trends of the curve?

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

11

askedNov 8 at 16:53

Question 11

0votes

0answers

49views

Diffusion equation after one time-step

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

1

askedNov 5 at 17:55

Question 12

1vote

0answers

49views

numerical methods for conformal mapping: overview

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

187

askedNov 5 at 8:08

Question 13

0votes

0answers

12views

Boundary values for b splines under clamped knots

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

339

askedNov 1 at 7:06

Question 14

2votes

0answers

58views

Why are my PDE residuals so large when using finite-difference method? [closed]

I’m computing PDE residuals for the The Well datasets (for example turbulent_radiative_layer_2D and shear_flow) using finite-difference methods, but the results are much larger than I expected. ...

Kain

21

askedOct 26 at 13:12

Question 15

4votes

2answers

116views

How good is computing $\left\|f\right\|_p$ with large $p$ as a numerical approximation for $\left\|f\right\|_{\infty}$ for functions $f$?

Let's suppose that I wanted to compute $\left\|f\right\|_{\infty}=\sup_{t \in \mathcal{T}} \left|f(t)\right|$ for a $f$ that may not be easy to optimize. This is the infinity norm of a function, and ...

cgmil

1,553

askedOct 23 at 17:56

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Questions tagged [numerical-methods]

Richardson Extrapolation to the highest possible accuracy to evaluate a function derivative

Is this recurrence for $\pi$ with order $2m+1$ already known? [closed]

What is the length of the height AH?

What would be the recommended approach to compute line integral in the 2D plane?

Quadrature rule for tensor product of fourier basis

Relation between companion matrix, characteristic polynomial, and points where time waveforms of a system become zero

What's the pattern behind the algorithm of repeatedly taking a number and subtracting its reverse digits?

efficient differentiation of composition of elementary complex maps

Which type of numerical differentation (forward, backward, central) is better suited for magnetic field data

How can I smooth noisy experimental data while preserving the overall shape and monotonic trends of the curve?

Diffusion equation after one time-step

numerical methods for conformal mapping: overview

Boundary values for b splines under clamped knots

Why are my PDE residuals so large when using finite-difference method? [closed]

How good is computing $\left\|f\right\|_p$ with large $p$ as a numerical approximation for $\left\|f\right\|_{\infty}$ for functions $f$?

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