# Questions tagged [numerics]

Questions on the numerical functions of Mathematica, implementing numerical methods and numerical computing with Mathematica.

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### NDSolve: Which method for fast moving/spreading wavepackets?

I want to model a wave-packet interacting with a non-linear potential. ...
18 views

### How to dynamically increase sampling rate for NIntegrate?

I am trying to numerically integrate a messy function over the range $(0,\infty)$. Rather than integrating to $\infty$, I programmed a dynamic cutoff for which I can specify a desired precision. For ...
145 views

### Fastest way of numerically creating a list of dot products

I have a list of numerical complex 2x2 matrices list = {M[4,3],T,M[3,2],T,M[2,1],T} (in reality this list contains over 1000 matrices and I have to do ...
148 views

### Implementing Kramers Kronig Relation in Mathematica for Reflection Spectrum

I'm new to Mathematica and I have to solve this problem but all of my approaches are wrong :( So, please can anyone help me with this equation? Here it is: Here is my data : https://pastebin.com/...
38 views

### What are some strategies for infinite numeric integrations with “cutoffs”?

I am working on a Mathematica project that involves many numeric integrals, each of which should be integrated over the domain {k, 0, Infinity}. I assumed that ...
69 views

### FindRoot and NDSolve question with multiple parameters

I'm trying to reproduce the results from 1, which solve the equations of an elastic ring (a closed loop elastica) under various loadings. Here is the relevant part: I need to solve the governing ...
227 views

### Why do the Integrate and NIntegrate give different results?

Bug introduced in 12.0 or earlier and persisting through 12.0.0 or later I'm using Mathematica to calculate the following integral, but I don't know why the result of using ...
68 views

### Solution of 20-variable Constrained NMaximize with Method->“DifferentialEvolution” does not fully satisfy the constraints

I want to find the maximum of ...
68 views

### Partial Differentiation in Mathematica, syntax error? [closed]

I am trying to differentiate some random function using Mathematica at particular nodes, I am though not being able to implement this without being retrieved the following error message: D: ...
145 views

### Plotting values obtained using numerical integration

I have an integral which doesn't give a closed definite expression. The command ...
82 views

### Plotting the surface spectral function

I'm not 100% sure if I should be posting this in the physics stack exchange but, I am pretty new to Mathematica, just installed it five weeks ago, and I am having a little trouble implementing the ...
59 views

### Which command can I use to obtain numerical solutions of a two-variable equation? [duplicate]

Regarding my previous question, which command I can use to obtain the numerical solutions of a general two-variable equation: f[x_, y_] := 0 for some specific ...
56 views

### Finding a polynomial fit to a set of data [closed]

I am trying to find a polynomial to fit the data listed as data = {{0,6.67},{6,17.33},{10,42.67},{13,37.33},{17,30.10},{20,29.31},{28,28.74}} I set this string ...
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113 views

### Q: Problem - FullSimplify returns 0, FindRoot returns value & FindInstance requires system abend

The function at issue: ...