Package: calculus 1.1.0

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]

calculus_1.1.0.tar.gz
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calculus_1.1.0.tgz(r-4.6-emscripten)
manual.pdf |manual.html✨
DESCRIPTION |NEWS
card.svg |card.png
calculus/json (API)

# Install 'calculus' in R:

install.packages('calculus', repos = c('https://eguidotti.r-universe.dev', 'https://cloud.r-project.org'))

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

Pkgdown/docs site:https://calculus.eguidotti.com

Uses libs:

c++– GNU Standard C++ Library v3

On CRAN:

calculus coordinate-systems curl divergence einstein finite-difference gradient hermite hessian jacobian laplacian numerical-derivation numerical-derivatives numerical-differentiation symbolic-computation symbolic-differentiation taylor cpp

10.18 score 48 stars 11 packages 93 scripts 7.3k downloads 2 mentions 45 exports 1 dependencies

Last updated from:a208d4bb7b. Checks:13 OK. Indexed: yes.

Target	Result	Time
linux-devel-arm64	OK	185
linux-devel-x86_64	OK	154
source / vignettes	OK	196
linux-release-arm64	OK	159
linux-release-x86_64	OK	173
macos-release-arm64	OK	129
macos-release-x86_64	OK	230
macos-oldrel-arm64	OK	148
macos-oldrel-x86_64	OK	178
windows-devel	OK	169
windows-release	OK	127
windows-oldrel	OK	136
wasm-release	OK	107

Exports:%cross%%curl%%diff%%div%%divergence%%dot%%gradient%%hessian%%inner%%jacobian%%kronecker%%laplacian%%mx%%outer%%prod%%sum%c2e contraction cross curl delta derivative diagonal diagonal<-divergence e2c einstein epsilon evaluate gradient hermite hessian index index<-integral jacobian laplacian mx mxdet mxinv mxtr ode partitions taylor wrap

Dependencies:Rcpp

Differential operators in arbitrary orthogonal coordinates systems

Rendered fromdifferential-operators.Rmdusingknitr::rmarkdown