Computational Science Stack Exchange
Computational Science Stack Exchange

Questions tagged [reference-request]

This tag is for requests for books, papers, and citations.

272 questions
17
votes
4 answers

What are some applications which require interval arithmetic?

I have a very basic notion about interval arithmetic (IA), but it seems to be a very interesting branch of computational science both theoretically and practically. It is clear that the obvious applications are verified computing and ill-posed…
faleichik
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16
votes
4 answers

Book reference for Numerical Analysis

I've had a glimpse of Numerical Analysis (majorly, Numerical Methods like root finding, quadratic equations and other preliminary stuff) in my Calculus class but now, I find myself wanting more sophistication in my work. Is there a good book which…
Inquest
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15
votes
3 answers

Citable references for software best practices

I'm currently writing up my PhD thesis. I spent a significant fraction of my PhD cleaning up and extending existing scientific code, applying software engineering best practices which were previously not used, and would like to write about this in…
user1915639
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6
votes
2 answers

Introduction to computational science?

I'm a high school student interested in computational science, and I would like to learn more about it. This year I took AP Computer Science for that reason, but except for some very basic gambling stuff we didn't really do any modeling or…
Kate
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5
votes
5 answers

Recommendation for an introductory level book in computational physics?

I'm a physics undergrad, looking for a good introductory book on computational science, and numerical methods. Mostly I'm looking for applied books. (Simply because... in a theoretical book, if I can't see why I'm studying it, it's easy to lose…
user121
4
votes
1 answer

Where can I find a proof that the numerical sign problem is NP-hard?

I've reading up on the numerical sign problem, and how a general solution is NP-Hard. I can't seem to find a proof of this, though. Does anyone know where I can find a proof that the numerical sign problem is NP-Hard?
Dan
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4
votes
0 answers

Floating-point arithmetic in scientific computations rules of thumb

I am looking for a nice reference (a review, tutorial, or maybe a book) that has tips and their explanations about general issues of floating-point arithmetic in scientific computations. Some that I've seen are Numerical Recipes and Goldberg, D. E.…
a06e
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2
votes
2 answers

Runge-Kutta with all nodes at n+1 or zero weights otherwise

So, lets say for the family of the explicit Runge-Kutta methods: $$y_{n+1} = y_n + \sum_{i=1}^s b_i k_i$$ where, $$k_1 = hf(t_n, y_n)$$ $$k_2 = hf(t_n+c_2h, y_n+a_{21}k_1)$$ $$\vdots$$ $$k_s = hf(t_n+c_sh,…
runge_kutta_question
1
vote
0 answers

HLLC Riemann solver with shock test 2 - extension to low densities

I am currently using the HLLC solver to solve a 1-D system of Euler equations with very satisfactory results. However, there are cases where my solution produces low-density, high velocity states, which lead to strange heating at the origin. The…
AtmosphericPrisonEscape
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1
vote
2 answers

Reference for approximation errors in 2D and 3D by using FEM

I'm currently searching for an elaborate referece that covers most of the approximation errors for elliptic second order problems (like, for the laplacian dirichlet problem) by using finite element methods in 2D and 3D. For example in 2D, you can…
Simul
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1
vote
0 answers

Lattice Boltzmann Method

I have done Molecular Dynamics Simulation and now want to venture into Lattice Boltzmann Method. What would be the best reference book/lecture notes/videos for a beginner?
zed111
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0
votes
1 answer

Where do I find engineering problems to practice solving computationally?

I'm an engineer and I'm planning to get a bigger toolbox than Excel to solve difficult problems. I started learning Python (as that seems the script language to go for math intense jobs, and runs in the background of many applications) and plan to…
mart
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0
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1 answer

Reference Material

I am starting to get into scientific computing with a library called Deal.II and I was wondering what the community recommends as good source material that I can learn about scientific material. About the Finite Element Method and how to setup…
philm
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