Lmst

I wrote a blog post about a lecture introducing stability in ODE models and their numerical solution. The lecture transcript and code for figures are included.

https://nadiah.org/2025/12/04/mxb261

#mathematicalEcology #ODEs #stability #mathematics #lectureNotes #populationDynamics

All the better to see you …
#odes #ocelli #optics #norfolk

#Books shipping to new homes this morning.

#BookSelling #bookstodon #novel #CharlieChan #magazine #esquire #travel #places #france #dordogne #pindar #odes #poetry #AncientGreece #ancient #classical

Book entitled 'The Black Cat' by Earl Derr Biggers. One of the Charlie Chan mysteries, printed in 1929. The green cover of the front board shows the title in a playful, spiky style.

A book about the Dordogne region of France, simply entitled 'Dordogne'. The author is Joy Law. Cover image is a photograph of riverside scene shows old stately buildings with a high forested hill behind them. Green trees, blue sky and a few clouds.

A collection of odes from Ancient Greece entitled 'Pindar's Victory Songs'. It wascompiled by Frank J. Nisetich. The black front board shows a roundel - inside it a Greek youth is running while holding a spear in his left hand and a round shield in the other. The shield features a large black rooster in silhouette. All in shades of burnt yellow, on the black background. the colors often used in ancient greek pottery.

Odes and garden wildlife ...

https://1001species.substack.com/p/odes-and-garden-wildlife

#dragonflies #wildlife #wildlifegardening #odes #rain #nature #biodiversity #montreal #canada

'Identifiability and Asymptotics in Learning Homogeneous Linear ODE Systems from Discrete Observations', by Yuanyuan Wang, Wei Huang, Mingming Gong, Xi Geng, Tongliang Liu, Kun Zhang, Dacheng Tao.

http://jmlr.org/papers/v25/22-1159.html

#estimation #estimator #odes

'Stable Implementation of Probabilistic ODE Solvers', by Nicholas Krämer, Philipp Hennig.

http://jmlr.org/papers/v25/20-1423.html

#numerical #solvers #odes

`The fast multipole method (FMM), introduced by Rokhlin Jr. and Greengard has been said to be one of the top ten #algorithms of the 20th century. The FMM algorithm reduces the complexity of matrix-vector multiplication involving a certain type of dense #matrix which can arise out of many #physical #systems.`

https://en.wikipedia.org/wiki/Fast_multipole_method

#physics #simulation #molecularDynamics #MD #dynamics #differentialEquations #ODEs #PDEs #ODE #PDE #Coulomb #Coulombic #CoulombForce #CoulombInteraction

Faster Training of Neural ODEs Using Gauß–Legendre Quadrature

Alexander Luke Ian Norcliffe, Marc Peter Deisenroth

Action editor: Kevin Swersky.

https://openreview.net/forum?id=f0FSDAy1bU

#odes #models #quadrature

in many ways, #mathematical #physics is based on the #smoothing properties of the #integral

#integrableSystems #mathematicalPhysics #complexAnalysis #spectralTheory #harmonicAnalysis #functionalAnalysis #mathematicalAnalysis #differentialEquations #ODEs #PDEs #SDEs #DEs #equations #BrownianMotion #LangevinDynamics #dynamics #Langevin #StochasticDifferentialEquations #StochasticProcesses #WienerProcess #OrnsteinUhlenbeck #HarmonicOscillator #WaveEquation #Newton #Newtonian #Maxwell #Einstein

Having fun with the damped spring in #p5js for teaching ODEs:

https://dynamicmath.xyz/math1052/lecture-13.html#/damped-spring-simulation

#iteachmaths #ilovemaths #ODEs 😃

Beautiful PDE visualization tool!

Here's a reaction-diffusion system with a pic of Turing himself as the initial condition.

https://visualpde.com/sim/?preset=Alan

#Mathematics #DifferentialEquations #PDEs #ODEs

Image of a reaction-diffusion system simulation with Alan Turing as the initial condition.

Faster Training of Neural ODEs Using Gauß–Legendre Quadrature

https://openreview.net/forum?id=f0FSDAy1bU

#odes #models #quadrature

Reposting! Welcoming any thoughts about teaching diff eqs/coding and scientific computing in general #math #ODEs #Python

I asked #ChatGPT to write an ode to ODEs.

#math #mathematics #odes #ODEs

Amanda Ghassaei has amazing simulations. 😃

I used them for my classes to talk about ODEs and PODEs.

https://dynamicmath.xyz/math2001/chapter-06.html#/6/4

#iteachmaths #simulation #ODEs #PODEs

We build these using data collected from clinical trials (e.g. blood samples, clinical observations, scores, X-rays and suchlike - multiple samples, over time, from many subjects), which we use to build compartmental models which approximate what is happening over time using ordinary differential equations (#ODEs).