Lessons from Numerical Analysis
Alejandro Rivero (Univ. Carlos III Madrid)
TL;DR
This paper reviews how concepts like Renormalization Group, species doubling, and CKM mixing are observed in numerical analysis, highlighting their connections to methods such as Butcher group, parasitic solutions, and higher order techniques.
Contribution
It reveals the parallels between physical phenomena and numerical analysis methods, providing insights into their underlying mathematical structures.
Findings
Renormalization Group concepts appear in numerical stability analysis
Species doubling relates to parasitic solutions in numerical methods
CKM mixing analogies emerge in higher order algorithms
Abstract
It is reviewed how Renormalization Group, species doubling and CKM mixing are known to appear in numerical analysis: Butcher group, parasitic solutions and higher order methods
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Taxonomy
TopicsNumerical methods for differential equations · Matrix Theory and Algorithms · Advanced Numerical Methods in Computational Mathematics