English

A Succinct Multivariate Lazy Multivariate Tower AD for Weil Algebra Computation

Symbolic Computation 2021-07-06 v2 Mathematical Software Numerical Analysis Differential Geometry Numerical Analysis

Abstract

We propose a functional implementation of \emph{Multivariate Tower Automatic Differentiation}. Our implementation is intended to be used in implementing CC^\infty-structure computation of an arbitrary Weil algebra, which we discussed in the previous work.

Cite

@article{arxiv.2103.11615,
  title  = {A Succinct Multivariate Lazy Multivariate Tower AD for Weil Algebra Computation},
  author = {Hiromi Ishii},
  journal= {arXiv preprint arXiv:2103.11615},
  year   = {2021}
}
R2 v1 2026-06-24T00:24:35.466Z