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:	1.0.1
Imports:	Rcpp (≥ 1.0.1)
LinkingTo:	Rcpp
Suggests:	cubature, testthat, knitr, rmarkdown
Published:	2023-03-09
DOI:	10.32614/CRAN.package.calculus
Author:	Emanuele Guidotti [aut, cre]
Maintainer:	Emanuele Guidotti <emanuele.guidotti at unine.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 Differential operators in arbitrary orthogonal coordinates systems Einstein summation convention Hermite polynomials Multiple integrals in arbitrary orthogonal coordinates systems Ordinary differential equations Taylor series of multivariate functions

Downloads:

Package source:	calculus_1.0.1.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_1.0.1.tgz, r-oldrel (arm64): calculus_1.0.1.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

Linking:

Please use the canonical form https://CRAN.R-project.org/package=calculus to link to this page.