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Computational Science : Recent Questions and Answers (Page 29)

Find answers to your questions about Computational Science or help others by answering their Computational Science questions.

R function or package for carrying out maximum likelihood techniques in random effect models

I am applying optim() function in R to obtain maximum likelihood estimates of the fixed effects and random effects in a model with bivariate random effects. The code works well...

Asked on 02/15/2021 by T Richard

1 answer

Finding the extrema of a transition probability function for a quantum walker on a graph

The goalImplement some Python code to find the extrema points of a function that is strongly oscillating.The backgroundLet $G$ be a connected graph with $n$ points with Laplacian...

Asked on 02/15/2021 by Optimus Prime Number

0 answer

How to write a code of 2D ADI method in matlab?

I tried to write a code for the alternating direction implicit (ADI) method in 2D, but I got stuck. My equation is: $$frac{partial U(t,x,y)}{partial t} =...

Asked on 02/14/2021 by I love math

1 answer

Numerical solution of the advection equation with Crank–Nicolson finite difference method

I need to implement a numerical scheme for the solution of the one-dimensional advection equation$$\frac{partial u}{partial t} + C(x, t) frac{partial u}{partial x} = 0 \\$$$$...

Asked on 02/14/2021 by Winabryr

1 answer

Scale of x-axis for Fourier transform

Consider a function $f(t)$ and its Fourier transform $F(omega)$. The amplitude of the Fourier transform $F(omega)$ depends on the frequency $omega$ and thus also depends on...

Asked on 02/14/2021 by Frederic

0 answer

Why does FDTD and FIT disregard Gauss's law?

This is a reformulation of a question I asked a couple of days ago. I'm posting it again because I believe the previous post was very unclear, I will probably...

Asked on 02/11/2021

0 answer

Efficient computation of marginalized multivariate normal likelihood

In general,if we know that the marginal Gaussian distribution for some variable $textbf{x}$ and a conditional Gaussian distribution for some $textbf{y}|textbf{x}$ of the forms:$$p(textbf{x}) = mathcal{N}(textbf{x}|boldsymbol{mu},Lambda^{-1})$$...

Asked on 02/11/2021 by nwknoblauch

0 answer

Least Square fit of a system of equations

I've a matrix equation $bar z^{(r)}(k + 1) = bar{DF} ~ bar z^{(r)}(k)$. Now the $bar z$'s and $bar{DF}$ are $d times d$ matrices. Now ...

Asked on 02/10/2021 by sbp

1 answer

Double Integral with Gauss- Hermite for one component

I am trying to perform the following integral $$int_{0}^{2pi}int_{0}^{+infty} frac{r'left(e^{-r'^2/2sigma^2}right)left(r-r'cos(theta-theta')right)}{r^2+r'^2-2rr'cos(theta-theta')}dr'dθ'$$ Using Gauss-Hermite for $r$ and Simpson 1/3 rule for $theta$ with no success. I can't find my...

Asked on 02/09/2021 by Tomás Lopes

1 answer

Which C++ Multi-objective Optimization libraries allows the addition of custom problems and custom algorithms?

I'm working on a custom discrete and constrained multi-objective optimization problem and I'd like to know which libraries or platforms that implement algorithms like SPEA2 and NSGA in C++ and...

Asked on 02/08/2021 by dev93

4 answer

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