High Dimensional Numerical and Symbolic Calculus

Efficient C++ optimized functions for numerical and symbolic calculus as described in Guidotti (2020) . 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.


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Reference manual

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install.packages("calculus")

0.3.1 by Emanuele Guidotti, 4 months ago


https://calculus.guidotti.dev


Report a bug at https://github.com/eguidotti/calculus/issues


Browse source code at https://github.com/cran/calculus


Authors: Emanuele Guidotti [aut, cre]


Documentation:   PDF Manual  


Task views: Numerical Mathematics


GPL-3 license


Imports Rcpp

Suggests cubature, testthat, knitr, rmarkdown

Linking to Rcpp


Imported by difNLR.


See at CRAN