#numerics — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #numerics, aggregated by home.social.
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🧐:
“It’s OK To Compare Floating-Points For Equality”, Nikita Lisitsa (https://lisyarus.github.io/blog/posts/its-ok-to-compare-floating-points-for-equality.html).
Via HN: https://news.ycombinator.com/item?id=47767398
On Lobsters: https://lobste.rs/s/l6c9wi/it_s_ok_compare_floating_points_for
#Math #Programming #FloatingPoint #NumericalAnalysis #Precision #Errors #Numerics
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🧐:
“It’s OK To Compare Floating-Points For Equality”, Nikita Lisitsa (https://lisyarus.github.io/blog/posts/its-ok-to-compare-floating-points-for-equality.html).
Via HN: https://news.ycombinator.com/item?id=47767398
On Lobsters: https://lobste.rs/s/l6c9wi/it_s_ok_compare_floating_points_for
#Math #Programming #FloatingPoint #NumericalAnalysis #Precision #Errors #Numerics
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🧐:
“It’s OK To Compare Floating-Points For Equality”, Nikita Lisitsa (https://lisyarus.github.io/blog/posts/its-ok-to-compare-floating-points-for-equality.html).
Via HN: https://news.ycombinator.com/item?id=47767398
On Lobsters: https://lobste.rs/s/l6c9wi/it_s_ok_compare_floating_points_for
#Math #Programming #FloatingPoint #NumericalAnalysis #Precision #Errors #Numerics
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🧐:
“It’s OK To Compare Floating-Points For Equality”, Nikita Lisitsa (https://lisyarus.github.io/blog/posts/its-ok-to-compare-floating-points-for-equality.html).
Via HN: https://news.ycombinator.com/item?id=47767398
On Lobsters: https://lobste.rs/s/l6c9wi/it_s_ok_compare_floating_points_for
#Math #Programming #FloatingPoint #NumericalAnalysis #Precision #Errors #Numerics
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How reliable are CFD results?
This review highlights common pitfalls and how to avoid them, emphasizing validation, numerical accuracy, and physical consistency. Essential reading for simulation-based research.
#CFD #numerics #FluidMechanics #simulation #ScientificComputing
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🎉🌈 Behold, the NumKong 2000—a mind-boggling parade of mixed precision #kernels, designed to make your head spin faster than a washing machine on hyperdrive! 🤯🌀 With a dazzling array of Float6 to #Float118 across 7 languages, it's the Swiss Army knife of numerics—but only if you have 48 spare minutes and a PhD in deciphering technobabble. 📚🔍
https://ashvardanian.com/posts/numkong/ #NumKong2000 #MixedPrecision #TechInnovation #Numerics #HackerNews #ngated -
🎉🌈 Behold, the NumKong 2000—a mind-boggling parade of mixed precision #kernels, designed to make your head spin faster than a washing machine on hyperdrive! 🤯🌀 With a dazzling array of Float6 to #Float118 across 7 languages, it's the Swiss Army knife of numerics—but only if you have 48 spare minutes and a PhD in deciphering technobabble. 📚🔍
https://ashvardanian.com/posts/numkong/ #NumKong2000 #MixedPrecision #TechInnovation #Numerics #HackerNews #ngated -
🎉🌈 Behold, the NumKong 2000—a mind-boggling parade of mixed precision #kernels, designed to make your head spin faster than a washing machine on hyperdrive! 🤯🌀 With a dazzling array of Float6 to #Float118 across 7 languages, it's the Swiss Army knife of numerics—but only if you have 48 spare minutes and a PhD in deciphering technobabble. 📚🔍
https://ashvardanian.com/posts/numkong/ #NumKong2000 #MixedPrecision #TechInnovation #Numerics #HackerNews #ngated -
🎉🌈 Behold, the NumKong 2000—a mind-boggling parade of mixed precision #kernels, designed to make your head spin faster than a washing machine on hyperdrive! 🤯🌀 With a dazzling array of Float6 to #Float118 across 7 languages, it's the Swiss Army knife of numerics—but only if you have 48 spare minutes and a PhD in deciphering technobabble. 📚🔍
https://ashvardanian.com/posts/numkong/ #NumKong2000 #MixedPrecision #TechInnovation #Numerics #HackerNews #ngated -
🎉🌈 Behold, the NumKong 2000—a mind-boggling parade of mixed precision #kernels, designed to make your head spin faster than a washing machine on hyperdrive! 🤯🌀 With a dazzling array of Float6 to #Float118 across 7 languages, it's the Swiss Army knife of numerics—but only if you have 48 spare minutes and a PhD in deciphering technobabble. 📚🔍
https://ashvardanian.com/posts/numkong/ #NumKong2000 #MixedPrecision #TechInnovation #Numerics #HackerNews #ngated -
Waves 🌊 are everywhere, and understanding their behavior leads us to understand nature. The goal of CRC 1173 "Wave Phenomena" (https://www.waves.kit.edu) at #KITKarlsruhe is to analytically understand, numerically simulate, and eventually manipulate wave propagation under realistic scenarios by intertwining #analysis and #numerics.
Extended version of this video (YouTube): https://youtu.be/NsHWaKIpH80?si=fiqy4wBWro6OgSkU
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Ever wondered whether fast direct solvers are compatible with Quadrature by Expansion, a method for the evaluation of singular layer potentials? Wonder no more 🙂 In https://arxiv.org/abs/2504.13809, we offer an algorithmic recipe, analysis, an end-to-end error model, and some weighting tricks, the latter two applicable beyond QBX, along with numerical experiments. #layerpot #fastalg #fastalgorithm #numpde #numerics #scicomp #paper 🎓 📖
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Ever wondered whether fast direct solvers are compatible with Quadrature by Expansion, a method for the evaluation of singular layer potentials? Wonder no more 🙂 In https://arxiv.org/abs/2504.13809, we offer an algorithmic recipe, analysis, an end-to-end error model, and some weighting tricks, the latter two applicable beyond QBX, along with numerical experiments. #layerpot #fastalg #fastalgorithm #numpde #numerics #scicomp #paper 🎓 📖
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Ever wondered whether fast direct solvers are compatible with Quadrature by Expansion, a method for the evaluation of singular layer potentials? Wonder no more 🙂 In https://arxiv.org/abs/2504.13809, we offer an algorithmic recipe, analysis, an end-to-end error model, and some weighting tricks, the latter two applicable beyond QBX, along with numerical experiments. #layerpot #fastalg #fastalgorithm #numpde #numerics #scicomp #paper 🎓 📖
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Ever wondered whether fast direct solvers are compatible with Quadrature by Expansion, a method for the evaluation of singular layer potentials? Wonder no more 🙂 In https://arxiv.org/abs/2504.13809, we offer an algorithmic recipe, analysis, an end-to-end error model, and some weighting tricks, the latter two applicable beyond QBX, along with numerical experiments. #layerpot #fastalg #fastalgorithm #numpde #numerics #scicomp #paper 🎓 📖
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If you are into numeric representations and error arithmetic, you’ll like this post.
https://chadnauseam.com/coding/random/calculator-app
/ht @brucelawson
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[New Blog Post] Oscillator Etudes: Frequency Sweeping https://philipzucker.com/oscillate/ #physics #numerics
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Ever been irritated that Fast Multipole Methods require lots of special, problem-specific code for efficiency (e.g. specific to the Coulomb potential?) My student Isuru Fernando has fixed that for you: https://arxiv.org/abs/2305.17867 #fmm #paper #fastmultipole #pde #numerics #scicomp
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Ever been irritated that Fast Multipole Methods require lots of special, problem-specific code for efficiency (e.g. specific to the Coulomb potential?) My student Isuru Fernando has fixed that for you: https://arxiv.org/abs/2305.17867 #fmm #paper #fastmultipole #pde #numerics #scicomp
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Ever been irritated that Fast Multipole Methods require lots of special, problem-specific code for efficiency (e.g. specific to the Coulomb potential?) My student Isuru Fernando has fixed that for you: https://arxiv.org/abs/2305.17867 #fmm #paper #fastmultipole #pde #numerics #scicomp
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Having fun with Makie.jl and Ferrite.jl in FerriteViz.jl. My colleague Dennis and me added support for gradient/flux visualization based on a known finite element field: https://github.com/Ferrite-FEM/FerriteViz.jl/pull/51
We started FerriteViz for teaching purposes and this PR adds very nice possibilities to it. With this PR, instabilities in mixed forms or singularities in the fluxes can be visualized. 🎉
@julialang #julialang #Makie.jl #finiteelements #fea #numerics
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Any special function specialists around here? Are there good numerical methods to evaluate bivariate (hyper2d) hypergeometric functions/Kampé de Fériet functions besides evaluating the inner hypergeometric function and summing up? #numerics #numericalmethods #specialfunctions
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Any special function specialists around here? Are there good numerical methods to evaluate bivariate (hyper2d) hypergeometric functions/Kampé de Fériet functions besides evaluating the inner hypergeometric function and summing up? #numerics #numericalmethods #specialfunctions
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Glad to be on here! My #introduction:
I'm an AI researcher in the UK, working at Graphcore - a semiconductor company who develop the #IPU (a #GPU alternative) 💻 I joined last year, having previously been at Oxford for my MSc.
My interests are in #numerics (especially #fp8 8️⃣), #LLMs, mixture-of-expert models, and anything to do with #solitaire ♣️ ♦️
Thanks to @thegradient for making this happen 😃
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#academia For all people interested in #numerics , especially #mechanics . You can sign up for the Imperial College seminar "Materials Engineering & Mechanics"
https://twitter.com/MechMaterials/status/1519308823089004546
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You're now not restricted to #numerics anymore on #phosh via @ManjaroLinuxARM on a #pinephone...
[Video embedded in original tweet]
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Finally the most sophisticated of the three is Simpson’s rule in which pairs of adjacent strips use a #quadratic #parabola to interpolate between the ordinates. This even better at convergence than the trapezium rule. I’ve shown a different function here because for the function shown above the difference between the approximation and the numerical #approximation is not discernible.
#MyWork #Mathematics #Maths #Numerics #SimpsonsRule #FreeSoftware #CCBYSA #Wikipedia #Wikimedia
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Finally the most sophisticated of the three is Simpson’s rule in which pairs of adjacent strips use a #quadratic #parabola to interpolate between the ordinates. This even better at convergence than the trapezium rule. I’ve shown a different function here because for the function shown above the difference between the approximation and the numerical #approximation is not discernible.
#MyWork #Mathematics #Maths #Numerics #SimpsonsRule #FreeSoftware #CCBYSA #Wikipedia #Wikimedia
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The trapezium rule is quite an improvement to the above and each area is approximated by joining up the ordinates at the beginning and end of each discrete interval with a straight line. This converges appreciably faster than the above method.
#MyWork #Mathematics #Maths #Numerics #RectangleMethod #TrapeziumRule #SimpsonsRule #FreeSoftware #CCBYSA #Wikipedia #Wikimedia
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The rectangle method is the most simple-minded and crudest method of finding the area below the curve. It converges slowly.
#MyWork #Mathematics #Maths #Numerics #RectangleMethod #TrapeziumRule #SimpsonsRule #FreeSoftware #CCBYSA #Wikipedia #Wikimedia
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Getting started with #Maxima in #Fedora #Linux - Fedora Magazine
https://fedoramagazine.org/getting-started-with-maxima-in-fedora-linux/
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Here are #animated #gifs of the representation of #NumericalIntergration #approximations with increasing numbers of strips. Represented are the Rectangle Method, Trapezium Rule and Simpson’s Rule. Note how much faster the second and third methods improve the approximation the exact blue curve in each case as the number of strips increases. Produced using #wxmaxima. They are all available on #Wikipedia.
#MyWork #Mathematics #Maths #Numerics #RectangleMethod #TrapeziumRule #SimpsonsRule #CCBYSA
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Here are #animated #gifs of the representation of #NumericalIntergration #approximations with increasing numbers of strips. Represented are the Rectangle Method, Trapezium Rule and Simpson’s Rule. Note how much faster the second and third methods improve the approximation the exact blue curve in each case as the number of strips increases. Produced using #wxmaxima. They are all available on #Wikipedia.
#MyWork #Mathematics #Maths #Numerics #RectangleMethod #TrapeziumRule #SimpsonsRule #CCBYSA
