Community Digest |
Top new questions this week: |
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Numerical integration of ODEs: Why does higher accuracy and precision not lead to convergence?I'm trying to integrate numerically a non-linear ODE that, on paper, is simple (just the damped, forced pendulum), but that, as well known, its dynamics displays a chaotic behavior and is very ...
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How one uses computer to prove an inequality?Source: https://keskustelu.suomi24.fi/t/18574666/kinkkinen-epayhtalo-taas I have heard that there is a proof that $ \frac{x}{\sqrt{y^2 + 15 xz}} + \frac{y}{\sqrt{z^2 + 15 xy}} + \frac{z}{\sqrt{x^2 + ...
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Greatest hits from previous weeks: |
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How do compression algorithms compress data so fast?I've come across compression algorithms, I tried creating a simple run-length encoding algorithm but I notice that when I searched other algorithms I was shocked to know that some algorithms can ...
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How to get started with OpenFOAM for CFDI'm looking at using OpenFOAM for solving basic internal flows in CFD. What is the best way to get started, and could anyone please point me to a good online reference to go to with any questions I ...
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When should log1p and expm1 be used?I have a simple question that is really hard to Google (besides the canonical What Every Computer Scientist Should Know About Floating-Point Arithmetic paper). When should functions such as ...
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Functional Programming and Scientific ComputingI apologize if this is a vague question, but here goes: Over the past few years, functional programming has received a lot of attention in the Software Engineering community. Many have started using ...
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What is this regularization technique?I'm currently working on understanding some very old code. They are trying to solve an underdetermined system and the comments say that they want the minimum norm solution. The system they solve is: $...
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What are some good strategies for improving the serial performance of my code?I work in computational science, and as a result, I spend a non-trivial amount of my time trying to increase the scientific throughput of many codes, as well as understanding the efficiency of these ...
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Understanding the Wolfe Conditions for an Inexact line searchAccording to Nocedal & Wright's Book Numerical Optimization (2006), the Wolfe's conditions for an inexact line search are, for a descent direction $p$, Sufficient Decrease: $f(x+\alpha p)\le f(x)+...
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