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Computational Science : Recent Questions and Answers (Page 33)

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

Methodology Suggestion for Wave-propagation Problem using Finite Elements

I want to simulate the propagation of a sinusoidal plane wave in a rectangular domain using Finite Elements Method. First, the wave should propagate through a fluid medium, then it...

Asked on 01/11/2021

1 answer

create a heavyside function with any value on python

What I'm trying to do is simply a variation of a heavyside function, for 3 before the discontinuity and 4 after. But when I plot it, at the discontinuity it's...

Asked on 01/11/2021 by maths_mz

1 answer

"black box" preconditioner for shifted linear systems?

Does anyone know of any strategies for creating a preconditioner $P^{-1}_sigma approx (A+sigma I)^{-1}$ given a preconditioner $P^{-1} approx A^{-1}$, preferably such that the precomputation doesn't depend on...

Asked on 01/11/2021 by deasmhumnha

0 answer

Conserve energy by message passing?

There are $N$ particles with positions $x_i(t)$ and velocities $v_i(t)$ and mass 1. There is a potential function $U_{i,j}(x_i, x_j)$ between each pair of particles,...

Asked on 01/09/2021

1 answer

How to derive the simplified Newton iteration in the TR-BDF2 ODE integration scheme

The Problem The TR-BDF2 explained in this paper [1], is quite a popular numerical scheme used to integrate $dot{y} = f(t,y)$, consistent of the following two stages: begin{align}...

Asked on 01/05/2021 by kostas1335

1 answer

Solving two coupled non-linear second order differential equations numerically using python

Please help with the following Python code for a nonlinear coupled oscillator, I am getting an error, I don't understand the problem.from scipy.optimize import minimizefrom scipy.integrate import odeintfrom qutip...

Asked on 01/05/2021 by user68207

0 answer

Electric Current Module in Comsol

I am trying to solve for the potential in the electric current module in Comsol. I have a wire with 2 current boundary conditions where the in equals the out....

Asked on 01/04/2021

0 answer

Generally quadratic convex problem with one non-convex term

How would you approach a standard convex quadratic problem with convex constraints but one non-convex term ? Say $|x|^{0.4}$. $$min_x frac{1}{2} x^{T}Qx + g^Tx + c^T mathrm{sign}(x)...

Asked on 01/02/2021 by Kreol

0 answer

How to solve for underlying function from discrete data set containing integral of that function

New to Computational Science, I hope I'm on the right exchange network for this question. I have a time series data set that contains the sum of a source data...

Asked on 01/01/2021 by jeromeResearch

0 answer

Devising Convergent Numerical Scheme for PDE

I'm currently looking at the PDEbegin{align*} u_t + left[x(1-y) - (1-x)right]u_x - (1-y) u_y + (z-xy) u_z = (z-xy) u_{xy} - (1-x)u&end{align*}withbegin{align*}...

Asked on 01/01/2021 by Mike D

0 answer

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