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Computational Science : Recent Questions and Answers (Page 2)

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

traction boundary conditions in elasticity

I have a question about implementing traction boundary conditions in 2D and 3D linear elasticity. Consider the picture above. I...

Asked on 12/10/2021

1 answer

What's the simplest way to graph a 2d array generated in C++ using Windows 7?

This was so much easier in Python (so much so that I'm considering going back to matplotlib for data analysis). But really, trying to figure out ROOT and Boost...

Asked on 12/04/2021

4 answer

How is the final result calculated in RK-Dopri(4,5)?

I have found a toy implementation of RK-Dopri(4,5), written in Python. I am concerned however, about line 118:y = y + h *...

Asked on 11/30/2021

1 answer

Why is Time evolving block decimation so efficient?

I have a short question about Time evolving block decimation (TEBD). During a lecture I was told that this method is very efficient in evolving 1D quantum...

Asked on 11/28/2021

1 answer

Optimization of expensive model with many parameters

I have a physical model which takes $sim50$ parameters and gives $sim2000$ outputs taking tens of minutes to run. I need to optimize these parameters to give outputs...

Asked on 11/28/2021

2 answer

Pros of Fourier-Galerkin spectral methods

What are the pros of Fourier-Galerkin spectral methods while solving PDEs? Here's the one that came in my mind first:Easy implementation: using this method, differentiation operator computation is really simple...

Asked on 11/23/2021

1 answer

Flux sign and face normal confusion in finite volume method

I implemented a solver for the 2D steady-state heat equation (without heat generation and homogeneous material) $nabla. (knabla T) = 0$, using finite volume method, however, I am having...

Asked on 11/21/2021

3 answer

Reading VTK file into C++ for analysis

I apologize in advance if this post is at all ignorant or elementary, I am a pure mathematician who is newly getting into the world of scientific computing. For my...

Asked on 11/19/2021

1 answer

Project to nearest point on convex polyhedron

I have a point $y in mathbb{R}^d$ and a convex polyhedron $mathcal{P}$ given as the intersection of half-spaces: $$mathcal{P} = {x in mathbb{R}^d mid a_1 cdot x...

Asked on 11/11/2021

1 answer

In FEM, why is the stiffness matrix positive definite?

In FEM classes, it's usually taken for granted that the stiffness matrix is positive definite, but I just can't understand why. Could anyone give some explanation? For instance, we can...

Asked on 11/08/2021

2 answer

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