Code for article: "Stability of piecewise flat Ricci flow"

2023/06/21 by Rory Conboye, Conboye, Rory
Mathematics · Physics and Astronomy · #53C44 #57Q15 #57R12 #65D18 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2306.12745

openalex publication_date 2023/06/21 · openalex created_date 2023/06/24 · openalex updated_date 2026/07/28

Abstract

Mathematica Notebooks containing computations for the article "Stability of piecewise flat Ricci flow", and data files generated by these notebooks. The Notebooks include: 1_Simplicial-Graphs, containing computations for determining simplicial graphs to be used for triangulations of flat manifolds; 2_Linearized-Equations, containing functions for computing the piecewise flat Ricci curvature, and a linear stability analysis of the piecewise flat Ricci flow equations; 3_Numerical-Simulations, containing computations for evolving the piecewise flat Ricci flow using the Euler method, both with and without the instability-suppressing adaptations, along with analysis of the results, and code for producing the graphs that appear in the article. The remaining files contain the data for the simplicial graphs generated by "1_Simplicial-Graphs" and the data from the numerical simulations generated by "3_Numerical-Simulations".

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