calculus: High Dimensional Numerical and Symbolic Calculus

Efficient C++ optimized functions for numerical and symbolic calculus as described in Guidotti (2022) <doi:10.18637/jss.v104.i05>. 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.

Version:	1.1.0
Imports:	Rcpp (≥ 1.0.1)
LinkingTo:	Rcpp
Suggests:	cubature, testthat, knitr, rmarkdown
Published:	2025-06-18
Author:	Emanuele Guidotti [aut, cre]
Maintainer:	Emanuele Guidotti <emanuele.guidotti at usi.ch>
BugReports:	https://github.com/eguidotti/calculus/issues
License:	GPL-3
URL:	https://calculus.eguidotti.com
NeedsCompilation:	yes
Citation:	calculus citation info
Materials:	README NEWS
In views:	NumericalMathematics
CRAN checks:	calculus results

Documentation:

Reference manual:

calculus.pdf

Vignettes:

High order derivatives of multivariate functions (source, R code) Differential operators in arbitrary orthogonal coordinates systems (source, R code) Einstein summation convention (source, R code) Hermite polynomials (source, R code) Multiple integrals in arbitrary orthogonal coordinates systems (source, R code) Ordinary differential equations (source, R code) Taylor series of multivariate functions (source, R code)

Downloads:

Package source:	calculus_1.1.0.tar.gz
Windows binaries:	r-devel: calculus_1.0.1.zip, r-release: calculus_1.0.1.zip, r-oldrel: calculus_1.0.1.zip
macOS binaries:	r-release (arm64): calculus_1.1.0.tgz, r-oldrel (arm64): calculus_1.1.0.tgz, r-release (x86_64): calculus_1.0.1.tgz, r-oldrel (x86_64): calculus_1.0.1.tgz
Old sources:	calculus archive

Reverse dependencies:

Reverse imports:	bayesCureRateModel, difNLR, mosaicCalc, yuima
Reverse suggests:	metafor

Linking:

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