Referring to matters of learning/teaching computational science

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COMSOL: String vibration modeling using Wave Equation PDE

I am learning comsol and already could make the vibration of a string in 1D (geometry used there was an interval) - I saw 2D plot and the string was vibrating, also I could do the same in 2D ...
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81 views

Practices to convert computer algorithms to matheamtical notations [closed]

First, an example: Given an image (2D array) to write down a mathematical notation for the function of pixelation, for example. Fig. 0: The pixelated version (right) of the given 2D array (left) ...
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257 views

Is there a reference-level implementation of BLAS in C/C++?

The netlib BLAS implementation is an excellent reference, being mostly un-optimized and well documented (e.g. zgemm). However, it is in Fortran 77, making it somewhat inaccessible to those with a ...
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2answers
750 views

simple MHD simulation code for (self) education and play with

I would like some super simple computational code for solving magnetohydrodynamics problems. High accuracy nor performance is not my concern. I wan't it just to visually explore qualitative behavior ...
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Is computational science recommended as part of the typical undergraduate curriculum every computer science department should teach?

Computational science remains uncommon in many computer science departments, particularly in universities without an engineering school. Is it not considered part of the standard computer science ...
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Difference between Computational science and Computational X (X = some natural science or discipline)

Where is the divide between a computational scientist and a computational X (X = some natural science or discipline)? What questions could someone ask themself to decide which is the best route for ...
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1answer
198 views

Recommendation for a python book for data processing

I've been doing FORTRAN programming for 10 years and I've started using python for a few years now, mostly for data processing. I've been lucky enough to work with people that are knowledgeable ...
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744 views

Does Computational Science involve programming?

I read about computational science on Wikipedia, but my understanding is not very clear. Does computational science involve programming? How different is computational science from computational ...
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178 views

How are collisions detected in simulations?

I want to understand how does the simulation identifies and models when two bodies are colliding with each other. For example car crash simulation. The car moves towards the wall or another crash. ...
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399 views

Priorities for learning computational methods, when should I write my own code vs. using libraries as a beginning graduate student?

I am beginning my graduate studies in engineering and will be working on computational science projects. I noticed that there has been some discussion about the advantages and disadvantages of ...
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2k views

Universities known for computational physics

I am very interested in computational physics and it is great lot of fun studying these topics. Since I am planning to go one semester abroad, I was wondering what universities are known for ...
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614 views

How can we evaluate performance of students in computational science courses?

As someone who has to teach courses in computational science, I am confronted with the age-old question: how do I evaluate the ability of the students to learn a subject that depends on applications ...
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181 views

Power series approximation for any function such as $-e^{x^{2}}$ in some easily-accessed open-source software?

My comrades repeatedly encourages monotonous problems where the issue is the same: chain-rule and some basic arithmetic. Is there some computational way to derive power series approximations? Suppose ...
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What core skills should every computational scientist have? [closed]

Every scientist needs to know a bit about statistics: what correlation means, what a confidence interval is, and so on. Similarly, every scientist ought to know a bit about computing: the question is, ...
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656 views

Is there any open-source or easy-to-access software that can simplify algebraic expressions like $x^{2}+2x+3, x=\sqrt{2}t-1$?

I always calculate things by hand, but now my comrades are getting nasty and making a lot of repetitive exercises involving just plugging things in like the expression above. I am particularly ...
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1answer
279 views

How effective is the 'tendrils of knowledge' approach to Comp. Sci?

I was reading this on Math SE. The basic question is : Assume that someone wishes to study something advanced; one way to do this would be to start off from basics and build up. But the "bigger ...
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563 views

Is it preferable to concentrate on studying math or computation?

Concurrent to my research on Krylov Subspace Methods, I have the option of exploring mathematics behind HPC a step ahead or the theory of computation (hardware, OS, compilers etc.). Currently, I know ...
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513 views

Introductions to hp-FEM

do you know good introductions into or surveys $hp$-adaptive finite elements? In particular I do not know how the heuristics for choosing spatial refinement or increased polynomial degree are ...
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3answers
423 views

How should I study creating and programming HPC systems?

I'm in a field that doesn't necessarily do a great deal of HPC work, and when it does encounter it, it's often the result of researchers from other fields exploring new applications to their methods ...
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1k views

Is algorithmic analysis by flop-counting obsolete?

In my numerical analysis courses, I learned to analyze the efficiency of algorithms by counting the number of floating-point operations (flops) they require, relative to the size of the problem. For ...