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symbolic-computations

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rafael-a-monteiro-math / Transverse-bifurcation-of-viscous-slow-MHD-shocks

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This repository contains the notebook with symbolic computations in SAGE for the paper "Transverse bifurcation of viscous slow MHD shocks", by Blake Barker, Rafael Monteiro, and Kevin Zumbrun. The code is not intended to be optimized, and in several parts (believe it or not) we chose clarity to the detriment of efficiency. The preprint can be fo…

python sage mhd sagemath symbolic-computations
  • Updated Apr 10, 2026
  • Jupyter Notebook

Graham-Cat / Log-Tower-Generator

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A multidimensional jet space engine for high-order mixed partial Log-Tower derivatives. Features a Chronological Step-Operator Engine (Anchor/Web logic) that eliminates Bell polynomial explosion via asymmetric tensor caching. Replaces the quotient rule with an optimized derivative generator for lightning-fast symbolic mapping.

python memoization calculus computer-algebra combinatorics dynamic-programming sympy mathematical-physics asymptotic-analysis differential-algebra symbolic-computations partial-derivatives tensor-calculus operator-theory algorithmic-optimization symengine discrete-convolution volterra-integral-equations bell-polynomials jet-space
  • Updated Apr 1, 2026
  • Python

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