Linked Questions

9
votes
1answer
810 views

Algorithms behind implemented Mathematica functions [duplicate]

When I use Mathematica for analysis and I write a publication, readers often ask me: "What is the algorithm behind your calculation?". I answer that I did it with Mathematica and if they are ...
0
votes
0answers
93 views

NIntegrate, view integration options [duplicate]

The Mathematica manual says: NIntegrate symbolically analyzes its input to transform oscillatory and other integrands, subdivide piecewise functions, and select ...
18
votes
2answers
971 views

Determining the default Method used in optimization and root-finding algorithms

Is it possible to extract the Method which is used in functions like NMinimize, FindRoot, <...
15
votes
1answer
4k views

What method does NDSolve use for solving PDEs?

What is NDSolve's mode of operation? I use it to solve partial differential equations and never gave it too much thought. Recently, I came across this question. ...
10
votes
2answers
568 views

inspecting step size and order of $\tt NDSolve$

I am trying to collect information about what step sizes and what orders is using NDSolve internally. I tried wrapping it into a ...
27
votes
1answer
883 views

Publishing results obtained in Mathematica

I've been using Mathematica to solve nonlinear partial differential equations for my doctoral research for the last 2 years or so. I am not an expert in Mathematica or mathematics and I am an engineer ...
7
votes
2answers
249 views

Comparing result of NDSolve to Coefficient Plug-in using Runge-Kutta-Fehlberg [duplicate]

I use Mathematica's built-in method: ...
7
votes
1answer
590 views

Trouble with shooting method for a 4th-order differential equation

I'm trying to solve the following forth-order ODE with the shooting method: $$\frac{1}{5}(y-2xy^\prime)=\frac{1}{x}\left\{\frac{xy^\prime}{y}+xy^3 \left[\frac{(xy^\prime)^\prime}{x} \right]^\prime \...
4
votes
1answer
318 views

What Method values are available for Plot?

The Documentation Center article on Plot notes under Details and Options that Method is one of the options for ...
3
votes
1answer
1k views

Intermediate variables in NDSolve

I'm interested in using NDSolve as an integrator for a system of differential equations that looks like the following: ...
7
votes
1answer
356 views

How to know the internal pre-processing of automatic machine learning function `Classify`?

In the Highly automatic machine learning page, it is said the function like Classify and Predict will do things like automatic ...
4
votes
1answer
178 views

Finding NDSolve method details

I have eqs about the NDSolve, I know this code given the solving automatically. How can I find out what method is used behind the scenes? How can I gauge the ...
1
vote
1answer
136 views

Estimating error in NDSolve

I would like to give a theoretical estimation of local truncation error (and then for the global one) for a solution to a numerical initial value problem by NDSolve....
1
vote
0answers
69 views

How could I know the Method adopted in NDSolve?

In NDSolve, different methods may lead to different results. For my codes ...
1
vote
0answers
64 views

How to find out how Mathematica performed an integration? [duplicate]

In terms of integration, I usually utilize Mathematica 9 to compute scattering amplitudes in quantum field theory. Recently, I employed it to compute a particularly difficult integral, and it ...