CÆLUM is a hydrodynamic solver for compressible flows, which solves the Euler equations of gas dynamics by means of very high order essentially non-oscillatory finite volume schemes in cartesian ...

Abstract: Mathematical reasoning remains an ongoing challenge for AI models, especially for geometry problems, which require both linguistic and visual signals. As the vision encoders of most MLLMs ...

The Backward Euler and Crank–Nicolson methods are solved using a tridiagonal solver implementing the Thomas algorithm. The first and last rows correspond to the boundary conditions, and the interior ...

Abstract: This paper presents a predictor-based safety-critical formation control method for multiple Euler-Lagrange systems with safety constraints, as well as model uncertainties. The communication ...

You can use ChatGPT to write essays and for a myriad of other tasks, but did you know, you can create graphs, charts, and diagrams as well in ChatGPT? Yes, with the ...