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.">

calculus: High Dimensional Numerical and Symbolic Calculus (original) (raw)

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
DOI: 10.32614/CRAN.package.calculus
Author: Emanuele Guidotti ORCID iD [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

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