Questions tagged [iteration]

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42 views

How do I construct and plot functions properly using NestList?

I am trying to construct a function using NestList and plot the values. Although the individually used and defined functions in my notebook seem to do the right ...
80 views

Two variable recursive integral equation

I'm trying to improve the question posted in Solving an integral vectorial equation by iterations but when the iterations are for two variables. I mean, suposse that I have the following integral ...
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Solving an integral vectorial equation by iterations

I'm triying to solve a problem like the following: $$\binom{f(t)}{g(t)}=\binom{f_0(t)}{g_0(t)}+\lambda\int_0^t ds\hat{A}(s)\binom{f(s)}{g(s)},$$ where $f_0(t),g_0(t)$ and $\hat{A}(t)$ (a $2\times2$ ...
51 views

Integration does not converge in iteration

I have the following code to find a numerical solution for a singular BVPas attached in the picture. I have the following Mathematica code: (This code of this question can be found at Mathematica does ...
1 vote
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Using Loop to find a specific Energy

I am given a Hamiltonian: ...
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This code ...
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What's a functional alternative to nested Do loops?

How can I use functional code to achieve the same effect as the following procedural code Do[ Do[ f[i,j], {j,1,m} ], {i,1,n} ]
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Mathematica does not show anything after running for higher iterations

Consider a BVP: $y^{\prime\prime}=\frac{3}{2}y(t)^{2}$ with the boundary conditions $y(0)=4$ and $y(1)=1$. The exact solution is $y(t)=\frac{4}{(1+t)^{2}}$ and the initial guess is $y(t)=4-3t$. Now I ...
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Implementing While loop in module that will iterate correctly

I am attempting to write a module that prints an optimal path from a starting node to a destination node. The first node is 1 and the final node is 100 (though when module prints these they should be ...
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Replacing elements at a single level in a nested list

I want to replace all instances of 0 in the outer most level of a nested list with 1. However, when I use ReplaceAll as ...
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FindRoot doesn't find root

I am facing a problem that my FindRoot doesn't find the actual roots. I am trying to make a loop that iterates my parameter sets (U0,X0,\Sigma0) to find sets that satisfy some conditions. Here is my ...
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The use of NestList

After read Michael answer, code use NestList to compute and feed in numerical integration. I want to learn this idea into my code. In the ...
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Converting 1D map into first order differential equation for bifurcation diagram code

I have existing code to plot bifurcation diagram for coupled first order differential equations. It seems to work for coupled differential equations. To test the code further, I use the simplest ...
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Flatten a pair of matrices within a list of matrices

I have a list of matrices, which I think is better to give an example using the code. ...
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Force list of colours to have same grayscale value, maintaining hue

A sketch of what I'd like to achieve is given by ...
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Best way to count nest depth in e.g. f[f[f[...[f[x]]...]?

What is the best way to count nesting depth in e.g. f[f[f[...[f[x]]...]? In other words, what function func is good for giving ...
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1 vote
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How to do simple list traversal? And how do I insert this in a function?

I want to make a function that takes as input a list of numbers and returns a list of 4 lists; the first returned list holds all positive real; the second returned list all negative real; the third ...
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How to use NestList for coupled equations?

I have a code that works for a single equation. How to I use NestList for two equation that are coupled? Below is the code for single equation, ...
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Repeating and Sequencing Procedures with two Do-loops

I have a Do loop where I'm looking for the value of certain parameters that respect the conditions inside an If, and with those values, a run another Do to make another calculation of an expression ...
118 views

Using the Fold function with multiple parameter inputs [closed]

I want to construct something like: f[a, b, c, f[a, b, c, f[a, b, c, f[a, b, c, f[a, b, c, f[a, b, c, x]]]]]]. I believe this can be done using the Fold or Nest ...
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Iteration limit exceeded

I am trying to adapt the following piece of code (coming from this answer): ...
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How to use NestWhile to get it to work the way I want?

I have a vector th={0,0,...,1.57}. Now I want to choose the second element and change it by stepsize 0.2 until it is less than 1.57, I need these set of vectors: th={0,0.2,0,...,1.57} th={0,0.4,0,...,...
294 views

Heat transfer with functions defined on different domains

I'm attempting to model a situation in which a polymer initially at a higher temperature is sandwiched between two cooler metallic mold pieces with conductive boundary conditions in between the ...
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How to recreate this complex iteration

I came across this image in a book Im reading: (taken from Rational Iteration Complex Analytic Dynamical Systems from Steinmetz. I hope it is okay to share it here) and I try to recreate it in ...
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RecurrenceTable and While

Good day. Let's take an example from Help on RecurrenceTable: ...
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NestList in 12.1/12.2 is 10x slower than 11.3/12.0

Are there any configurations to fix it? Test code: ...
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1 vote
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FoldList and Compile [closed]

Let me elaborate my previous question about Foldlist and Composition. ...
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1 vote
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FoldList with Composition and parameter

Good day to everyone! I have two (just for simple example) functions and they compose a map: ...
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Generating a lattice by $𝑁^{𝑡ℎ}$ iteration of unit cell

This question is in continuation of the my previous question that was not clearly presented by me at all. I have a unit cell, and I would like to generate a lattice but in iterative order. For ...
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Functional iteration of list of functions

I'm getting completely stumped on writing a function makeIterate that constructs an iterated structure out of a list of functions e.g. ...
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1 vote
91 views

How do I correctly iterate using Outer when an argument / slot is a nested list?

I have the following complex nested iteration situation. I begin with a list, data, that comprises 16 TemporalData objects Each TemporalData object contains 2 ...
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Why Mathematica doesn't compute the permutation products in my NestList[]?

I wrote the following: K = DihedralGroup[5]; K = GroupGenerators[K]; y = K[[1]]; x = K[[1]]; l = NestList[PermutationProduct[x, y], x, 4] But Mathematica gives me ...
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n-dimensional recursion [closed]

I am trying to set up a recursive function that generates n number of differential equations for Subscript[y, n][t] This ...
1 vote
70 views

Iterative and recursive approach to generate Fibonacci sequence

I'm new to use Mathematica and using this demo project to understand Mathematic demo example. I modified example code to only plot the runtime of recursive version of Fibonacci sequence runtime: ...
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1 vote
54 views

Plotting iterates of a piecewise defined map

This is a follow up question to the one I asked here. I’ve succeeded in figuring out how to plot the first image of my piecewise defined transformation $T: [-1,1]^2 \to [-1,1]^2$, but now I want to ...
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