Web-based platform for solving partial differential equations (PDEs) right before your eyes, live and fully interactive. By @bj_w95, @Pecnut, and @BlindMath
@visualPDE is an amazing tool for making maths visual and interactive! In the latest episode of our Maths on the Move podcast we talk to its creators about why they made it and what it can do plus.maths.org/content/adven…
New paper in @PhysRevResearch in which we demonstrate how to generate #cilia like oscillations with only reciprocal actuation at the base, using theory, simulations and a robotic model.
doi.org/10.1103/PhysRevResea…
We've not forgotten that it's a spooky time of year. Check out this Navier-Stokes sim of fluid flow (Re = 5) in a season-appropriate domain.
Navier-Stokes sims will be available soon, live on your device.
#Halloween
Exciting new VisualPDE.com redesign!
- Fancy front page.
- An easy to use content library.
- A 'Create' page a 6 minute video showing how to use VisualPDE to solve *your* equations.
- Several new examples.
Let us know what you think!
Big redesign coming to @visualPDE thanks to enormous efforts from @bj_w95 and @Pecnut. As an unrelated bit of fun, here's a diffusively-coupled Lorenz simulation. I call it "Butterflies lost in the soup."
Link to interactive simulation: visualpde.com/sim/?options=N…
What's the best thing to do with a GPU-parallelised PDE solver? Convince it to run Conway's Game of Life, obviously.
Cellular automata. Coming soon to VisualPDE, live on your device.
We’ve been working hard at VisualPDE to bring you new content, new features, and improved accessibility.
Here’s a highlight for this week: a brand new Visual Story on ocean transport, in collaboration Matthew Crowe from @UniofNewcastlevisualpde.com/visual-stories…
With dozens of articles over at VisualPDE.com, it can be tough to know where to start.
Introducing the Post of the Day, which puts a new article on the VisualPDE front page each day. Why not try something new today?
ALT The VisualPDE.com front page, showing off the new daily post suggestion
Ben (@bj_w95) is presenting VisualPDE at the Maths Summit, hosted at the Science Museum (@sciencemuseum) in London, with some slick posters and some very cool demos!
@protectingmaths @KEHub_Maths
ALT Several posters descriving the Knowledge Exchange Hub and VisualPDE. A few screens are demonstrating interactive VisualPDE simulations. A table has some cards on it at the front.
Alongside the proper numerics and analysis of this paper, you can get a feel for biological invasion at visualpde.com/mathematical-b…, all interactive and live on your device!
You can explore the idea behind this paper with VisualPDE! Find the link in the text or head straight to visualpde.com/nonlinear-phys… to interact with the mathematical model, live on your device
Machin (1958) theorised that planar waveforms of eukaryotic #flagella cannot be produced by boundary actuation alone (doi.org/10.1242/jeb.35.4.796),
BUT what if we can tune the bending stiffness? 🧐
All revealed in our new work led by @ClementYMoreau @bj_w95arxiv.org/abs/2402.13844
Thrilled to see a VisualPDE version of the @SMB_MathBiology logo at smb.org! Here's a version we almost went for:
Get in touch with us @visualPDE if you want to see your logo or PDE model running live and interactive on your site!
Modelling is full of noise and uncertainty. To help with this, here are a few interactive examples of stochastic and random partial differential equations. See how noise can cause pattern formation and extinction, or even build your own models with noise!
visualpde.com/nonlinear-phys…
As we pass 20k users(!!), we want to hear your feedback and suggestions for new content/features!
Head over to our new Contact page to tell us about anything you love, hate, or want to see on VisualPDE (with as-you-type LaTeX, of course).
visualpde.com/contact.html
Check out this @visualPDE page with interactive examples for three of the four models in the paper. Not quite a fully interactive paper, but perhaps this is a nice way to get closer to that form of publishing!
visualpde.com/mathematical-b…