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Computational Science : Recent Questions and Answers

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

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

debugging a rotation matrix for elastic constants

I have a transformation matrix which takes in the elastic constants from the local $rtl$ coordinates and then converts the elastic constants to the global $xyz$ coordinates via a rotation...

Asked on 11/05/2021

3 answer

Maximum lossless compression ratio for floating point time series

I want to compress an array of time series floating point data as much as possible. Currently the only algorithm I've found for this is XOR compression which works well,...

Asked on 11/05/2021

1 answer

Are there any embarrassingly parallel tasks that require a CPU rather than GPU?

I am looking for tasks thatare unsuitable for GPUsgain significant speedup as more CPU nodes are addeddon't require large data transfer or inter-thread communication between nodes.Do any problems of this...

Asked on 10/23/2021

10 answer

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