Top new questions this week:
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I'm trying to solve the following equation with FVM
$$u_t + f(u)_x = g(u)$$
where $g$ is some smooth function of $u$ and $f(u) = \frac{u^2}{2}$. This is really similar to Burger's equation, except ...
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Let $D$ be a sparse matrix. I want to compute $D\times D^T$. As $D$ is fairly large, so I am row-slicing $D$. That means for a range $(i,j)$, I am computing $C = D(i:j,:) \times D^T$ and performing ...
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In the BFGS method we perform iterations by calculating an approximation $\boldsymbol{H}_k$ to the inverse Hessian $\boldsymbol{H}$ of the objective function. This method belongs to a family of ...
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I am using the XMDS library for solving the stochastic (projected) Gross-Pitaevskii equation
$$i \hbar \partial \Phi\left(\mathbf{r},t\right)_t=\hat{\mathcal{P}}\left\{(1-i ...
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I'm a master's student in Math interested in Numerical Analysis. I know there are lots of questions like that on this site, but I think this is the best place to ask. So, I'm looking for an ...
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I have the following dynamical system,
$\frac{d \phi}{dt} = -M^TDM\phi \tag{1}\label{1}$
$\frac{d \hat\phi}{dt} = -M^T\tilde{D}M\hat \phi \tag{2} \label{2}$
$\eqref{1}$ represents the exact ...
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I have an integral of a convolution between two functions. How can I calculate this in Python? It is a continuum convolution.
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Greatest hits from previous weeks:
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Is there a Fortran subroutine which performs linear interpolation in one-dimenional data?
I need something similar to MATLAB function interp1.
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Which software provides a good workflow from simple plotting of a few datapoints up to the creation of publication level graphics with detailed styles, mathematical typesetting and "professional ...
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I have a mixed integer programming problem. And I am current using GLPK as my solver. But I found that GLPK is good for Linear Programming problem, but for Mixed Integer programming, it requires much ...
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I would like to perform a PCA on a dataset composed of approximately 40 000 samples, each sample displaying about 10 000 features.
Using Matlab princomp function consistently takes over half an hour ...
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Which one is better: FORTRAN or Python? And I guess that in both cases you need Gnuplot, am I right?
I'm working on a Windows machine at the moment.
I'd like to use it to get numerical solutions for ...
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I have a function with a number of arguments, but some of them are optional.
1.) If when the function is called, some are left empty, how do I code it so that it defaults to a specific value?
2.) ...
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When solving time dependent PDE's using the finite element method, for example say the heat equation, if we use explicit time stepping then we have to solve a linear system because of the mass matrix. ...
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Can you answer this question?
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For sure, there has been many highly optimized library on this. But I am working on a matrix-free context since the problem size does not allow explicit storage of sparse matrix elements. I'd love ...
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