3 papers
math.NA2025
An Explicit Sixth Order Runge-Kutta Method for Simple Lawson Integration
Matthew Golden
Explicit Runge-Kutta schemes become impractical when a stiff linear operator is present in the dynamics. This failure mode is quite common in numerical simulations of fluids and pl…
astro-ph.SR2025
Data-driven discovery of the equations of turbulent convection
Christopher J. Wareing, Alasdair T. Roy, Matthew Golden +2
We compare the efficiency and ease-of-use of the Sparse Identification of Nonlinear Dynamics (SINDy) algorithm and Sparse Physics-Informed Discovery of Empirical Relations (SPIDER)…
physics.comp-ph2025
Scalable Discovery of Fundamental Physical Laws: Learning Magnetohydrodynamics from 3D Turbulence Data
Matthew Golden, Kaushik Satapathy, Dimitrios Psaltis
The discovery of dynamical models from data represents a crucial step in advancing our understanding of physical systems. Library-based sparse regression has emerged as a powerful…