calculus: High Dimensional Numerical and Symbolic Calculus

Efficient C++ optimized functions for numerical and symbolic calculus as described in Guidotti (2020) <arXiv:2101.00086>. It includes basic arithmetic, tensor calculus, Einstein summing convention, fast computation of the Levi-Civita symbol and generalized Kronecker delta, Taylor series expansion, multivariate Hermite polynomials, high-order derivatives, ordinary differential equations, differential operators (Gradient, Jacobian, Hessian, Divergence, Curl, Laplacian) and numerical integration in arbitrary orthogonal coordinate systems: cartesian, polar, spherical, cylindrical, parabolic or user defined by custom scale factors.

Package details

AuthorEmanuele Guidotti [aut, cre] (<https://orcid.org/0000-0002-8961-6623>)
MaintainerEmanuele Guidotti <emanuele.guidotti@unine.ch>
LicenseGPL-3
Version0.3.1
URL https://calculus.guidotti.dev
Package repositoryView on CRAN
Installation Install the latest version of this package by entering the following in R:
install.packages("calculus")

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calculus documentation built on May 26, 2021, 5:06 p.m.