Simulation is the imitation of the operation of a real-world process or system over time.
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Symbolic Simulations
I have nonlinear equations and I solved it for given p1 and p2 on Mathematica 7;
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3answers
276 views
Simulate a simple spinner
I'm teaching some simple ideas in probability to students in grade 7.
The "spinner" below works, but I'm wondering how I could make it just a bit more realistic by having it actually "spin" around a ...
9
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1answer
156 views
Simulating discrete time stochastic dynamic systems
What is the canonical way of simulating discrete time stochastic dynamical systems in Mathematica using the new functionality of Random processes?
To take a concrete example, lets consider the ...
3
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2answers
123 views
How do I represent a system dynamics feedback loop?
In System Dynamics, if I want represent the relationship between Speed and Distances, I create a Flow (Speed) and a Stock (Distance) as you can see in this Insight Maker Sample . Heres an Image of how ...
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2answers
260 views
Running a Numerical Simulation on a System of Differential Equations with unique initial conditions
I have a system of differential equations as follows:
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9
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2answers
256 views
Efficient GeometricBrownianMotionProcess Monte Carlo simulation
Following the answers in this post, I'm trying to implement something similar. If the GBM stays inside the corridor [L, U] between predefined times it should return ...
4
votes
2answers
1k views
Creating a simulation of our Solar System
As the title says, my objective is to create a simulation of the motion of the planets in our Solar System using Mathematica. All the theoretical background regarding the equations of motion of ...
4
votes
1answer
415 views
Monte Carlo simulation using geometric Brownian motion
I'm relatively new to Mathematica programming, so forgive my rather unsophisticated question: I'm trying to do a Monte Carlo simulation using geometric Brownian motion (GBM). I want to write a ...
4
votes
1answer
267 views
How to start simulating physical problems?
I'm quite new to Mathematica, I have version 9. I need to use it to simulate some physical problems. I know the equations (like Maxwell's equations and Newton's laws and so on), but I have no real ...
6
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1answer
180 views
1D Random Walk with Excluded Sites and Variable Time-Step
Here is the physical problem I would like to simulate:
Consider the following variations to the 1d random walk:
allow for certain, random sites to be excluded with probability 1/2.
allow for the ...
13
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1answer
251 views
Simulating Theatre puzzle
I have been trying to simulate the process of the theatre puzzle from the Joy of X (Strogatz).
The puzzle, and some relevant material are here.
My simplistic coding for this process follows:
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9
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2answers
259 views
Fast Simulations with Compile
this post relates to another post that I didn't follow up propely. If I wanted to simulate
a system of stochastic proesses like the following, and loop over this run many many times
would writing the ...
7
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2answers
318 views
Fluorescence Correlation Spectroscopy Simulation
I am simulating Fluorescence Correlation Spectroscopy which basically involves tracking the random motion of particles in a box with periodic boundary conditions and then calculating their intensity ...
3
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0answers
152 views
How to save (large) data generated from simulations
The following is a simple example of a much larger simulation that I want to run
Define some processes
...
2
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1answer
187 views
Speed up iterated manipulations of a graph / table
I am trying to generate a version of Watts' model of cascading shocks to a network following the discussion on p. 20-25 of this article.
The basic premise is to use the ...