Package: fdaPDE 1.1-20

fdaPDE: Physics-Informed Spatial and Functional Data Analysis

An implementation of regression models with partial differential regularizations, making use of the Finite Element Method. The models efficiently handle data distributed over irregularly shaped domains and can comply with various conditions at the boundaries of the domain. A priori information about the spatial structure of the phenomenon under study can be incorporated in the model via the differential regularization. See Sangalli, L. M. (2021) <doi:10.1111/insr.12444> "Spatial Regression With Partial Differential Equation Regularisation" for an overview. The release 1.1-9 requires R (>= 4.2.0) to be installed on windows machines.

Authors:Eleonora Arnone [aut, cre], Aldo Clemente [aut], Laura M. Sangalli [aut], Eardi Lila [aut], Jim Ramsay [aut], Luca Formaggia [aut], Giovanni Ardenghi [ctb], Blerta Begu [ctb], Michele Cavazzutti [ctb], Alessandra Colli [ctb], Alberto Colombo [ctb], Luca Colombo [ctb], Carlo de Falco [ctb], Enrico Dall'Acqua [ctb], Giulia Ferla [ctb], Lorenzo Ghilotti [ctb], Cristina Galimberti [ctb], Jiyoung Kim [ctb], Martina Massardi [ctb], Giorgio Meretti [ctb], Simone Panzeri [ctb], Giulio Perin [ctb], Clara Pigolotti [ctb], Andrea Poiatti [ctb], Gian Matteo Rinaldi [ctb], Stefano Spaziani [ctb], Andrea Vicini [ctb], David C. Sterratt [cph]

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fdaPDE.pdf |fdaPDE.html✨
fdaPDE/json (API)
NEWS

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

Peer review:

Uses libs:
  • c++– GNU Standard C++ Library v3
Datasets:

On CRAN:

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

3.71 score 1 stars 254 scripts 402 downloads 39 exports 35 dependencies

Last updated 2 months agofrom:849f1a2f19. Checks:OK: 3 NOTE: 6. Indexed: yes.

TargetResultDate
Doc / VignettesOKNov 17 2024
R-4.5-win-x86_64OKNov 17 2024
R-4.5-linux-x86_64OKNov 17 2024
R-4.4-win-x86_64NOTENov 17 2024
R-4.4-mac-x86_64NOTENov 17 2024
R-4.4-mac-aarch64NOTENov 17 2024
R-4.3-win-x86_64NOTENov 17 2024
R-4.3-mac-x86_64NOTENov 17 2024
R-4.3-mac-aarch64NOTENov 17 2024

Exports:covs.testcreate.FEM.basiscreate.mesh.1.5Dcreate.mesh.2.5Dcreate.mesh.2Dcreate.MESH.2Dcreate.mesh.3DDE.FEMDE.FEM.timeDE.heat.FEMDE.heat.FEM.timeeval.FEMeval.FEM.timeFEMFEM.timeFPCA.FEMfs.testfs.test.3DinferenceDataObjectBuilderinferenceDataObjectTimeBuilderprojection.points.1.5Dprojection.points.2.5DR_eval.FEMR_eval.FEM.basisR_massR_smooth.FEM.basisR_stiffrefine.by.splitting.mesh.1.5Drefine.by.splitting.mesh.2.5Drefine.by.splitting.mesh.2Drefine.by.splitting.mesh.3Drefine.mesh.1.5Drefine.mesh.2Drefine.MESH.2Dsmooth.FEMsmooth.FEM.basissmooth.FEM.PDE.basissmooth.FEM.PDE.sv.basissmooth.FEM.time

Dependencies:base64encbslibcachemclidigestevaluatefastmapfontawesomefsgluehighrhtmltoolshtmlwidgetsjquerylibjsonliteknitrlatticelifecyclemagrittrMatrixmemoisemimemisc3dplot3DR6rappdirsRcppRcppEigenrglrlangrmarkdownsasstinytexxfunyaml

Readme and manuals

Help Manual

Help pageTopics
Covariate test function for the horseshoe domaincovs.test
Create a FEM basiscreate.FEM.basis
Create a 1.5D linear network meshcreate.mesh.1.5D
Create a 'mesh.2.5D' object from the nodes locations and the connectivity matrixcreate.mesh.2.5D
Create a 2D triangular meshcreate.mesh.2D
Create a 'mesh.3D' object from the connectivity matrix and nodes locationscreate.mesh.3D
Nonparametric density estimation with differential regularizationDE.FEM
Nonparametric spatio-temporal density estimation with differential regularizationDE.FEM.time
Density initializationDE.heat.FEM
Spatio-temporal density initializationDE.heat.FEM.time
Evaluate a FEM object at a set of point locationseval.FEM
Evaluate a FEM.time object at a set of point locationseval.FEM.time
Deprecated Functionscreate.MESH.2D fdaPDE-deprecated plot.MESH2D refine.MESH.2D R_eval.FEM R_eval.FEM.basis R_mass R_smooth.FEM.basis R_stiff smooth.FEM.basis smooth.FEM.PDE.basis smooth.FEM.PDE.sv.basis
Define a surface or spatial field by a Finite Element basis expansionFEM
Define a spatio-temporal field by a Finite Element basis expansionFEM.time
Smooth Functional Principal Component AnalysisFPCA.FEM
FELSPLINE test functionfs.test
FELSPLINE 3D test functionfs.test.3D
Horseshoe2.5D domainhorseshoe2.5D
Horseshoe domainhorseshoe2D
Hub domainhub2.5D
Image Plot of a 2D FEM objectimage.FEM
Image plot of a 2D FEM.time object at a given timeimage.FEM.time
Class for inference datainferenceDataObject inferenceDataObject-class
Constructor for inferenceDataObject classinferenceDataObjectBuilder
Class for inference data in ST caseinferenceDataObjectTime inferenceDataObjectTime-class
Constructor for inferenceDataObjectTime classinferenceDataObjectTimeBuilder
Plot a 'FEM' objectplot.FEM
Plot a 'FEM.time' object at a given timeplot.FEM.time
Plot a mesh.1.5D objectplot.mesh.1.5D
Plot a mesh.2.5D objectplot.mesh.2.5D
Plot a mesh.2D objectplot.mesh.2D
Plot a mesh.3D objectplot.mesh.3D
Project 2D points onto 1.5D linear network meshprojection.points.1.5D
Project 3D points onto 2D 2.5D triangular meshprojection.points.2.5D
Quasicircle2D domainquasicircle2D
Quasicircle2Dareal domainquasicircle2Dareal
Create a 'mesh.1.5D' object by splitting each edge of a given mesh into two subedges.refine.by.splitting.mesh.1.5D
Create a 'mesh.2.5D' object by splitting each triangle of a given mesh into four subtriangles.refine.by.splitting.mesh.2.5D
Create a 'mesh.2D' object by splitting each triangle of a given mesh into four subtriangles.refine.by.splitting.mesh.2D
Create a 'mesh.3D' object by splitting each tetrahedron of a given mesh into eight subtetrahedrons.refine.by.splitting.mesh.3D
Refine 1.5D meshrefine.mesh.1.5D
Refine a 2D triangular meshrefine.mesh.2D
Spatial regression with differential regularizationsmooth.FEM
Space-time regression with differential regularizationsmooth.FEM.time
Sphere3Ddatasphere3Ddata