This reproducible numerical-analysis project studies two routes for extending the scalar secant method to systems of nonlinear equations: finite-difference Jacobian Newton methods and quasi-Newton ...

Local-first computational fluid dynamics and numerical PDE workflows with inspectable discretizations, verification studies, bluff-body flow diagnostics, and reproducible synthetic benchmarks. The ...

When a calculation result is off by one yen, simply adding round at the end does not always solve the problem. The result ...

A new hybrid quantum-classical operator splitting method solves nonlinear parabolic PDEs up to 100 dimensions with provably ...

It is common to write floating-point numbers to text and read them back with another tool. This takes forms such as writing ...

Researchers have released openCFS, a fully open-source finite-element package that couples electromagnetics, acoustics, ...

Summary: In this guest post, Prof. Matthew Schwartz returns to describe a new approach to AI-accelerated science. In Vibe Physics, Schwartz discussed similarities in capability between Claude and a ...

The problem is not that attribution is hard. The problem is that the methods most investigators rely on were never designed ...

Whenever I explain that work, I end up explaining the same thing first: where path planning sits in an autonomous system, and ...

Spread the loveWe’ve all heard the buzz about artificial intelligence, haven’t we? It’s the future, it’s revolutionary, it’s going to change everything. And for a long time, the conversation around AI ...

I gave an AI agent one prompt and scored the codebase after every commit. Health 50 to 61, 10,000 lines gone, and a hard stop ...