Documentation for TensND

Package allowing tensor calculations in arbitrary coordinate systems.

Introduction

This Julia package provides tools to perform tensor calculations of any order and any dimension in arbitrary coordinate systems (cartesian, polar, cylindrical, spherical, spheroidal or any user defined coordinate systems...). In particular differential operators are available: gradient, symmetrized gradient, divergence, Laplace, Hessian. The implementation of this library is much inspired by the Maple library Tens3d developed by Jean Garrigues.

Installation

The package can be installed with the Julia package manager. From the Julia REPL, type ] to enter the Pkg REPL mode and run:

pkg> add TensND

Or, equivalently, via the Pkg API:

julia> import Pkg; Pkg.add("TensND")

Manual outline

Tutorials

N-layer sphere

Citing TensND.jl

@misc{TensND.jl,
  author  = {Jean-François Barthélémy},
  title   = {TensND.jl},
  url     = {https://github.com/jfbarthelemy/TensND.jl},
  version = {v0.1.1},
  year    = {2021},
  month   = {8}
}