Interest for GSoC 2026: Global Error Estimation and Control for Differential Equations

Community Teaching & Outreach
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Hi everyone,

My name is Emanuele, I am an applied math and data science master’s student, and I am interested in the GSoC 2026 project: “Global Error Estimation and Control for Differential Equations.”

I have put together a proof-of-concept Notebook implementing the specialized Runge-Kutta triples proposed by Makazaga and Murua (2003) as indicated in the project description.

My implementation shows how extending a standard DOPRI5 solver with three extra stages allows for a cheap estimate of the global error.

I also submitted a PR for the SDE part.

Since this is my first time participating in Google Summer of Code, I have a few questions regarding the proposal process for SciML:

  1. Is there a specific proposal template preferred by SciML that I should follow?
  2. Given the 350-hour project size, how granular should the weekly timeline and the breakdown of the implementation be at this stage?
  3. Would you be open to taking a quick look at my proof-of-concept Notebook and draft of my proposal to see if my implementation style and direction align with your vision? In this case, how to share it with you?
  4. is there something in particular you expect me to do?

I look forward to your feedback!

Emanuele