Solving Differential Equations and its Applications

Intro topic: Revisiting the power of Spreadsheets

News/Links:

• LK-99 Isn’t a Superconductor
  • https://www.nature.com/articles/d41586-023-02585-7
• Normalizing Flows
  • https://pyro.ai/examples/normalizing_flows_i.html
• How is llama.cpp possible?
  • https://finbarr.ca/how-is-llama-cpp-possible/
• Chat with open source large language models
  • https://chat.lmsys.org/
    
    

Book of the Show

• Patrick: Math with Bad Drawings by Ben Orlin
  • https://amzn.to/44dsgDz
• Jason: 
  • Overboard! https://play.google.com/store/apps/details?id=com.InkleLtd.Overboard Nhl=en_US&gl=US 

Patreon Plug https://www.patreon.com/programmingthrowdown?ty=h

Tool of the Show

• Patrick: 
  • ffmprovisr https://amiaopensource.github.io/ffmprovisr/
• Jason:
  • Pandas read_ods() read_excel()

Topic: Differential Equations

• Why should programmers learn about DiffEq
  • Law of Large Numbers
• What are differential equations?
  • When you know the rate of change
  • EigenVectors & EigenValues
  • What is Jacobian What is Jacobian? | The right way of thinking derivatives and integrals
    
    
• Special cases
  • Partial Differential Equations
  • Ordinary Differential Equations
• Why solvers are important
  • Numerical Stability at larger step sizes
  • Example: https://medium.com/@pukumarathe/eulers-method-and-runge-kutta-4th-order-method-in-python-b4a0068a8ebe 
• Fun Examples
  • Predator-Prey relationships in scipy
    • https://scientific-python.readthedocs.io/en/latest/notebooks_rst/3_Ordinary_Differential_Equations/02_Examples/Lotka_Volterra_model.html 
  • Physics Engines for games
    • https://youtu.be/52n2qKgwW_Q 
  • PageRank
    • https://arxiv.org/pdf/2001.08973.pdf