Package: calculus 1.0.1

Emanuele Guidotti

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.

Authors:Emanuele Guidotti [aut, cre]

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Bug tracker:https://github.com/eguidotti/calculus/issues

On CRAN:

calculuscoordinate-systemscurldivergenceeinsteinfinite-differencegradienthermitehessianjacobianlaplaciannumerical-derivationnumerical-derivativesnumerical-differentiationsymbolic-computationsymbolic-differentiationtaylor

45 exports 46 stars 3.61 score 1 dependencies 7 dependents 2 mentions 61 scripts 1.3k downloads

Last updated 2 years agofrom:c183e05612. Checks:OK: 9. Indexed: yes.

Exports:%cross%%curl%%diff%%div%%divergence%%dot%%gradient%%hessian%%inner%%jacobian%%kronecker%%laplacian%%mx%%outer%%prod%%sum%c2econtractioncrosscurldeltaderivativediagonaldiagonal<-divergencee2ceinsteinepsilonevaluategradienthermitehessianindexindex<-integraljacobianlaplacianmxmxdetmxinvmxtrodepartitionstaylorwrap

Dependencies:Rcpp