Package: SimplicialCubature 1.3

SimplicialCubature: Integration of Functions Over Simplices

Provides methods to integrate functions over m-dimensional simplices in n-dimensional Euclidean space. There are exact methods for polynomials and adaptive methods for integrating an arbitrary function.

Authors:John P. Nolan, with parts adapted from Fortran and matlab code by Alan Genz

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SimplicialCubature.pdf |SimplicialCubature.html
SimplicialCubature/json (API)

# Install 'SimplicialCubature' in R:
install.packages('SimplicialCubature', repos = c('https://jpnolan.r-universe.dev', 'https://cloud.r-project.org'))

Peer review:

On CRAN:

This package does not link to any Github/Gitlab/R-forge repository. No issue tracker or development information is available.

13 exports 1.64 score 0 dependencies 6 dependents 19 scripts 273 downloads

Last updated 4 years agofrom:b305a052b3. Checks:OK: 7. Indexed: yes.

TargetResultDate
Doc / VignettesOKAug 26 2024
R-4.5-winOKAug 26 2024
R-4.5-linuxOKAug 26 2024
R-4.4-winOKAug 26 2024
R-4.4-macOKAug 26 2024
R-4.3-winOKAug 26 2024
R-4.3-macOKAug 26 2024

Exports:adaptIntegrateSimplexadaptIntegrateVectorFuncadsimpCanonicalSimplexdefinePolyevalPolygrnmolintegrateSimplexPolynomialJacobianS2CanonicalprintPolySimplexSurfaceAreaSimplexVolumeUnitSimplexV

Dependencies:

Readme and manuals

Help Manual

Help pageTopics
Numerical integration of functions over simplicesSimplicialCubature-package SimplicialCubature
Integrate a general function over a simplexadaptIntegrateSimplex adaptIntegrateVectorFunc original.coordinates
Internal functions for adaptIntegrateSimplex.adsimp adsimp.return.message SMPCHC SMPDFS SMPRMS SMPRUL SMPSAD SMPSMS
Internal functions for defining/working with simplices.CanonicalSimplex JacobianS2Canonical SimplexSurfaceArea SimplexVolume UnitSimplexV
Define, evaluate, or print a polynomialdefinePoly evalPoly printPoly
Grundmann-Moller integration of a function over a simplexgrnmol
Exact integration of a polynomial over a simplexintegrateSimplexPolynomial
Internal functions for integrateSimplexPolynomial.LasserreAvrachenkov nextIndexLA nextIntBaseB