Questions tagged [scaling]

For questions about the effect of scaling on a computation (e.g. changing units, normalizing). For questions about the "scaling" of an approach with input size/time, use [tag:complexity]

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Weak scaling for N-body simulations

I'm going to be doing some weak scaling of an $N$-body integrator on AWS. In the past when I've done weak scaling for this integrator I've fixed the number of particles per core ($N/n = {\rm const}$). ...
• 111
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Time iteration no longer smooth after using scaled units

I have a time iteration function looked on a 2D surface like this. Since the numbers wee very small i.e. hbar=6.6260700404e-34./(2*pi), my professor told me to use our own "scaled unites" during the ...
• 153
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Scaling/nondimensionalization for numerical optimization

I have a numerical optimization problem that I am trying to scale appropriately, in order to allow for the solver to achieve faster and more accurate results. I found a paper here that had a short ...
72 views

Best way to conduct parallel scaling tests?

I have just finished a new version of a parallel code that I have been working on. I would like to do a strong scaling test, but I am always bothered by how much monotonous work scaling tests seem to ...
1 vote
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Strong scalability plot, HPC

I have to create a strong scalability plot, which measures the execution time for a numberOfThreads =1,2,4,8,16 with size=1024. ...
• 13
164 views

Parallel processing ability of popular commercial software

I recently scaled my dynamic model based on an open source FEM solver, to run a mesh containing nearly 34 million cells successfully on 800 cores. I have very limited experience using commercial ...
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1 vote
77 views

Does scaling factor affect discretization?

Suppose I want to solve the below equation numerically. $$\frac{dy}{dx}=y$$ I'd like to normalize the space discretization by choosing $$a\bar{x}=x$$ where I assume $\bar{x}$ is unity. Then the ...
• 319
1 vote
166 views

Scaling a vector-valued non-linear function for numerical optimization/minimization [closed]

I am trying to minimize a non-linear vector-valued function in MATLAB. As a test case for my code, I try to minimize a function whose solution I know apriori. The problem is that one of the ...
554 views

I need to scale variables to solve a 2D PDE. What are the physical considerations of scaling?

I am solving a boundary value problem in 2D via an implicit finite difference scheme. Unfortunately, although the problem is well-posed and should have a unique solution, the condition number of the ...
• 263
1 vote
107 views

What is the cost of factorization for one-dimensional sparse problems?

In Golub and Van Loan's book, Matrix Computations, page 606, it is stated that: With standard discretizations, 2-dimensional problems can be solved with $O(n^{3/2})$ work and $O(n \log{n})$ fill-...
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