Philipp Birken

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/

Nicolas Tessore

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

ChaosKazoo

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

Mi Lia

@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: github.com/mlliarm/ia and logtalk.org/

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

GitHub - mlliarm/ia: An interval arithmetic library in Logtalk

An interval arithmetic library in Logtalk. Contribute…

github.com
NumFluidMechanic

Let's give Mastodon STEM a try! What #aerospace topics are people interested in? I could tell a bit about the following things:
#cfd #numerics

NumFluidMechanic

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

Charlie Blake

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 😃

Khurram Wadee ✅

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

Khurram Wadee ✅

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

Khurram Wadee ✅

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

Khurram Wadee ✅

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