A powerful mathematical programming software with high level symbolic manipulation capacity.

learn more… | top users | synonyms

0
votes
2answers
131 views

Most efficient library to diagonalize exactly large hermitian or unitary matrices

I am working on a physics problem which requires obtaining the exact eigenvalues and eigenvectors of Hermitian and Unitary matrices numerically. Naturally I would like to ask the experts what are the ...
2
votes
1answer
133 views

Comparing Eigenvectors, Mathematica vs. Matlab

I am trying to create the same out puts in Mathmatica and Matlab, however I am running into trouble aligning the eigenvectors with the eigenvalues, I think the Matlab is doing something slighly more ...
1
vote
0answers
44 views

Stationary phase approximation for an integral with infinity saddle points?

I need a hand with the numerical evaluation, in Mathematica, for this integral: $$f(t)=\int_{-\infty}^\infty Exp\{it(\omega_H-\omega_l-\omega_k) - \sum _{j\neq(l,k)} S_j [1-e^{-it\omega_j}]\}\, dt$$ ...
3
votes
1answer
155 views

A programming model for Quantum Mechanics angular momenta in Mathematica

I'm writing prototypes for solving the Liouville Equations with Mathematica and C++. Perhaps the question about this may not be suited for this forum in a strict way, but it suits the people here ...
1
vote
0answers
31 views

Malliavin Derivative with Mathematica is it possible? [closed]

Frome mathematica.stackexchange: Is it possible to define a Malliavin calculus with Mathematica 9? Consider a random variables on the Wiener-space $\Omega=\mathcal{C}([0,1])$ of the form ...
0
votes
0answers
69 views

How to avoid over fitting? An application of GBM boosting package

I distributed my data into 90% training and 10% testing, then I build a boosting regression model using GBM boosting package in R which is very similar to the famous Adaboost regression model. There ...
4
votes
1answer
803 views

Laplace's equation problem in Polar Coordinates (Edit)

Is there public code in Matlab for solving the Laplace equation in polar coordinates in a circular domain? I tried a lot but my level of Matlab and Mathematica is not good enough, but still not ...
6
votes
2answers
312 views

Numerical Green functions for a nonlinear wave equation

I am trying to put down some code to get numerically the solution of the following PDE: $$ \partial^2_t\phi-\partial^2_x\phi+\lambda\phi^3=\delta(x)\delta(t). $$ Of course, there are several ...
2
votes
2answers
230 views

Numerical solution of fractional integro-diffrential equ. using collocation method?

problem comes from "Numerical solution of fractional integro-differential , equations by collocation method , E.A. Rawashdeh, Department of Mathematics, Yarmouk University, Irbid 21110, Jordan" ...
5
votes
3answers
4k views

Solving two coupled non-linear second order differential equations numerically

I have encountered the following system of differential equations in lagrangian mechanics. Can you suggest a numerical method, with relevant links and references on how can I solve it, and the ...
4
votes
2answers
810 views

Implementing a finite difference method in Mathematica

I am trying to iterate the following equation $$ x_{k}(n+1)=x_k (n)-\epsilon (x_{k+1}(n)-2x_k(n) +x_{k-1}(n))+\sqrt{\epsilon}\; \eta_{k}(n) $$ where $n$ denotes which time step I'm on and $k$ is the ...
4
votes
1answer
66 views

Migdal Recursion and Mathematica

I am studying $SU(2)$ lattice field theory, and I am attempting to use migdal recursion for renormalization. The main equation for Migdal recursion for my case is $$e^{-S_p(U,\lambda a)}=\left[ ...
2
votes
2answers
40 views

The region of allowed values ​​for solving the equation in Mathematica

In[2]:= Solve[sqrt(2x-9) == sqrt(4x+3), x] Out[2]= {{x -> -6}} But mathematically there is no solution, since sqrt (-21) is not defined. There is a flag that ...
11
votes
1answer
599 views

Replacing Mathematica's QuasiMonteCarlo integration in C++

I have a Mathematica program which performs some integrals in 3 or 4 dimensions using the QuasiMonteCarlo method. The problem is, it takes an annoyingly long time ...