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:
calculus_1.0.1.tar.gz
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calculus.pdf |calculus.html✨
calculus/json (API)
NEWS
| # 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
calculuscoordinate-systemscurldivergenceeinsteinfinite-differencegradienthermitehessianjacobianlaplaciannumerical-derivationnumerical-derivativesnumerical-differentiationsymbolic-computationsymbolic-differentiationtaylor
Last updated 2 years agofrom:c183e05612. Checks:OK: 9. Indexed: yes.
| Target | Result | Date |
|---|---|---|
| Doc / Vignettes | OK | Nov 21 2024 |
| R-4.5-win-x86_64 | OK | Nov 21 2024 |
| R-4.5-linux-x86_64 | OK | Nov 21 2024 |
| R-4.4-win-x86_64 | OK | Nov 21 2024 |
| R-4.4-mac-x86_64 | OK | Nov 21 2024 |
| R-4.4-mac-aarch64 | OK | Nov 21 2024 |
| R-4.3-win-x86_64 | OK | Nov 21 2024 |
| R-4.3-mac-x86_64 | OK | Nov 21 2024 |
| R-4.3-mac-aarch64 | OK | Nov 21 2024 |
Exports:%cross%%curl%%diff%%div%%divergence%%dot%%gradient%%hessian%%inner%%jacobian%%kronecker%%laplacian%%mx%%outer%%prod%%sum%c2econtractioncrosscurldeltaderivativediagonaldiagonal<-divergencee2ceinsteinepsilonevaluategradienthermitehessianindexindex<-integraljacobianlaplacianmxmxdetmxinvmxtrodepartitionstaylorwrap
Dependencies:Rcpp
Differential operators in arbitrary orthogonal coordinates systems
Rendered fromdifferential-operators.Rmdusingknitr::rmarkdownon Nov 21 2024.Last update: 2023-03-09
Started: 2021-01-01
Einstein summation convention
Rendered fromeinstein.Rmdusingknitr::rmarkdownon Nov 21 2024.Last update: 2023-03-09
Started: 2021-01-01
Hermite polynomials
Rendered fromhermite.Rmdusingknitr::rmarkdownon Nov 21 2024.Last update: 2023-03-09
Started: 2021-01-01
High order derivatives of multivariate functions
Rendered fromderivatives.Rmdusingknitr::rmarkdownon Nov 21 2024.Last update: 2023-03-09
Started: 2021-01-01
Multiple integrals in arbitrary orthogonal coordinates systems
Rendered fromintegrals.Rmdusingknitr::rmarkdownon Nov 21 2024.Last update: 2023-03-09
Started: 2021-01-01
Ordinary differential equations
Rendered fromode.Rmdusingknitr::rmarkdownon Nov 21 2024.Last update: 2023-03-09
Started: 2021-01-01
Taylor series of multivariate functions
Rendered fromtaylor.Rmdusingknitr::rmarkdownon Nov 21 2024.Last update: 2023-03-09
Started: 2021-01-01
