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 🎓 📖

If you are into numeric representations and error arithmetic, you’ll like this post.

https://chadnauseam.com/coding/random/calculator-app

/ht @brucelawson

#numerics #NumericalRepresentation #computation

[New Blog Post] Oscillator Etudes: Frequency Sweeping https://philipzucker.com/oscillate/ #physics #numerics

Single, Double, and Decimal - the three floating-point types available in .NET. But did you know there's a fourth type?

Half is a fourth type that was introduced in .NET 5. To be honest I've must have missed it myself. It is 2 bytes in size and allows storing values up to around 65k. It also allows representing positive and negative zeros, +∞, -∞, and of course, NaN.

For the Half type, there are a few constants defined that represent common values used in calculations like E, Pi, and tau.

Docs 📑: https://learn.microsoft.com/en-us/dotnet/standard/numerics#floating-point-types
https://learn.microsoft.com/en-us/dotnet/api/system.half?view=net-8.0

Did you know about this type? Or maybe you've already used it?

#dotnet #numerics #halftype
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If you find this useful, consider giving a like & share ♻

#hashtagtoot

#AppliedMathematics #Numerics #InverseProblems #Math #AppliedInverseProblems #conference

This week, the first ever cohort of students started in our two new master programs #ComputationalScience and ”Applied computational Science” at #LundUniversity. Students come in with a Bachelor in a natural science and proceed to take advanced courses in it. However, they also learn physics based modelling with differential equations and #numerics, statistical modelling with #Monte-Carlo-Methods, and data based modelling with #machinelearning. 1/

Want to work on computation plasma physics and #fusion? Apply to our collaborators' new posting and work with us on cutting edge #numerics and #Exascale!

#postdoc #hpc #hed #ICF #IFE #jobalert
https://jobs.smartrecruiters.com/LLNL/3743990002335986-plasma-physics-postdoctoral-researcher

After ELF 🧝🏻‍♀️comes PIXIE 🧚‍♀️ -- a new way to perform cross-language AND cross-module optimization. Come join the demo during our public meeting next week: https://numba.discourse.group/t/pixie-demo-on-july-25th/2014 #python #compiler #jit #numba #llvm #pydata #numerics #hpc

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

A somewhat belated #Introduction post.

I'm a numerical relativist at the University of Southampton, UK, in the Gravity section of our Applied Maths group.

I'm interested in nonlinear simulations of relativistic matter, neutron stars, gravitational waves, and the linked maths and physics issues of what "good enough" means for numerical calculations of complex behaviour.

#GravitationalWaves #GeneralRelativity #NeutronStars #Numerics

Scheme Implementations:
1. Minischeme0.85w
2. und 3. PC Scheme/Geneva 4.02PL1

#retro #scheme #numerics

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

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

My FDTD code no longer explodes at step 673 ! It's still blatantly false and non physical but at least it's progress ! #numerics #code #dynamics

@andrasbacsai currently learning #clojure from a book. I really have to get back to my ia project and push it forward. It's an Interval Analysis library written in #Logtalk with Logtalk's creator, Paulo Moura. I have a few more projects that are equally inactive and have to get back to, like my \(APL \in BCN\) presentations...

Anyhow: https://github.com/mlliarm/ia and https://logtalk.org/

#logtalk #prolog #numerics #IA #intervals #math #topology

Alright folks, this is my first toot! Anyone here interested in fluid mechanics, numerical simulation (CFD) and combustion? I'd be happy to connect! #fluid #cfd #numerics #combustion

Hey all... A small #introduction (stolen from my github account pretty much):

In the past I've done some physics stuff. Then I did some #math stuff. Now I do informatics stuff.

And a longer one:

I'm interested in logical, functional and array programming languages, natural languages, and from math anything related to #graphs, #algebra, #geometry, #topology, #logic, interval analysis & #numerics,...

Currently learning #clojure, #español and I'm hoping later to start #русский & #scala again.

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 😃

#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

You're now not restricted to #numerics anymore on #phosh via @ManjaroLinuxARM on a #pinephone...

[Video embedded in original tweet]