Rational Approximations of Fractional Stochastic Partial Differential Equations


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Documentation for package ‘rSPDE’ version 2.4.0

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A B C F G I M O P Q R S T U V

rSPDE-package Rational approximations of fractional SPDEs.

-- A --

augment Augment data with information from a 'rspde_lme' object
augment.rspde_lme Augment data with information from a 'rspde_lme' object

-- B --

bru_get_mapper.inla_rspde rSPDE inlabru mapper
bru_get_mapper.inla_rspde_anisotropic2d rSPDE anisotropic inlabru mapper
bru_get_mapper.inla_rspde_matern1d rSPDE stationary inlabru mapper
bru_get_mapper.inla_rspde_spacetime rSPDE space time inlabru mapper

-- C --

construct.spde.matern.loglike Constructor of Matern loglikelihood functions for non-stationary models.
create_train_test_indices Create train and test splits to be used in the 'cross_validation' function
cross_validation Perform cross-validation on a list of fitted models.

-- F --

folded.matern.covariance.1d The 1d folded Matern covariance function
folded.matern.covariance.2d The 2d folded Matern covariance function
fractional.operators Rational approximations of fractional operators

-- G --

get.initial.values.rSPDE Initial values for log-likelihood optimization in rSPDE models with a latent stationary Gaussian Matern model
gg_df Data frame for result objects from R-INLA fitted models to be used in ggplot2
gg_df.rspde_result Data frame for rspde_result objects to be used in ggplot2
glance Glance at an 'rspde_lme' object
glance.rspde_lme Glance at an 'rspde_lme' object
graph_data_rspde Data extraction from metric graphs for 'rSPDE' models
group_predict Perform prediction on a testing set based on a training set

-- I --

ibm_jacobian.bru_mapper_inla_rspde rSPDE inlabru mapper
ibm_jacobian.bru_mapper_inla_rspde_matern1d rSPDE stationary inlabru mapper
ibm_n.bru_mapper_inla_rspde rSPDE inlabru mapper
ibm_n.bru_mapper_inla_rspde_matern1d rSPDE stationary inlabru mapper
ibm_values.bru_mapper_inla_rspde rSPDE inlabru mapper
ibm_values.bru_mapper_inla_rspde_matern1d rSPDE stationary inlabru mapper
intrinsic.matern.operators Covariance-based approximations of intrinsic fields

-- M --

matern.covariance The Matern covariance function
matern.operators Rational approximations of stationary Gaussian Matern random fields
matern.rational Rational approximation of the Matern fields on intervals and metric graphs
matern.rational.cov Rational approximation of the Matern covariance
matern2d.operators Rational approximations of stationary anisotropic Gaussian Matern random fields

-- O --

operator.operations Operations with the Pr and Pl operators

-- P --

Pl.mult Operations with the Pr and Pl operators
Pl.solve Operations with the Pr and Pl operators
Pr.mult Operations with the Pr and Pl operators
Pr.solve Operations with the Pr and Pl operators
precision Get the precision matrix of CBrSPDEobj objects
precision.CBrSPDEobj Get the precision matrix of CBrSPDEobj objects
precision.CBrSPDEobj2d Get the precision matrix of CBrSPDEobj2d objects
precision.inla_rspde Get the precision matrix of 'inla_rspde' objects
precision.rSPDEobj1d Get the precision matrix of rSPDEobj1d objects
precision.spacetimeobj Get the precision matrix of spacetimeobj objects
predict.CBrSPDEobj Prediction of a fractional SPDE using the covariance-based rational SPDE approximation
predict.CBrSPDEobj2d Prediction of an anisotropic Whittle-Matern field
predict.inla_rspde_matern1d Predict method for 'inlabru' stationary Matern 1d models
predict.rSPDEobj Prediction of a fractional SPDE using a rational SPDE approximation
predict.rspde_lme Prediction of a mixed effects regression model on a metric graph.
predict.spacetimeobj Prediction of a space-time SPDE
print.CBrSPDEobj Summarise CBrSPDE objects
print.CBrSPDEobj2d Summarise CBrSPDEobj2d objects
print.rSPDEobj Summarise rSPDE objects
print.rSPDEobj1d Summarise rSPDE objects without FEM
print.spacetimeobj Summarise spacetime objects
print.summary.CBrSPDEobj Summarise CBrSPDE objects
print.summary.CBrSPDEobj2d Summarise CBrSPDEobj2d objects
print.summary.rSPDEobj Summarise rSPDE objects
print.summary.rSPDEobj1d Summarise rSPDE objects without FEM
print.summary.spacetimeobj Summarise spacetime objects

-- Q --

Q.mult Operations with the Pr and Pl operators
Q.solve Operations with the Pr and Pl operators
Qsqrt.mult Operations with the Pr and Pl operators
Qsqrt.solve Operations with the Pr and Pl operators

-- R --

rational.order Get the order of rational approximation.
rational.order<- Changing the order of the rational approximation
rational.type Get type of rational approximation.
rational.type<- Changing the type of the rational approximation
require.nowarnings Warnings free loading of add-on packages
rSPDE Rational approximations of fractional SPDEs.
rSPDE.A1d Observation matrix for finite element discretization on R
rspde.anistropic2d Rational approximations of stationary anisotropic Gaussian Matern random fields
rSPDE.Ast Observation matrix for space-time models
rSPDE.construct.matern.loglike Constructor of Matern loglikelihood functions.
rSPDE.fem1d Finite element calculations for problems on R
rSPDE.fem2d Finite element calculations for problems in 2D
rspde.intrinsic.matern Intrinsic Matern rSPDE model object for INLA
rSPDE.loglike Object-based log-likelihood function for latent Gaussian fractional SPDE model
rspde.make.A Observation/prediction matrices for rSPDE models.
rspde.make.index rSPDE model index vector generation
rspde.matern Matern rSPDE model object for INLA
rspde.matern.intrinsic Intrinsic Matern rSPDE model object for INLA
rSPDE.matern.loglike Object-based log-likelihood function for latent Gaussian fractional SPDE model using the rational approximations
rspde.matern.precision Precision matrix of the covariance-based rational approximation of stationary Gaussian Matern random fields
rspde.matern.precision.integer Precision matrix of stationary Gaussian Matern random fields with integer covariance exponent
rspde.matern.precision.integer.opt Optimized precision matrix of stationary Gaussian Matern random fields with integer covariance exponent
rspde.matern.precision.opt Optimized precision matrix of the covariance-based rational approximation
rspde.matern1d Matern rSPDE model object for INLA
rspde.mesh.project Calculate a lattice projection to/from an 'inla.mesh' for rSPDE objects
rspde.mesh.project.inla.mesh Calculate a lattice projection to/from an 'inla.mesh' for rSPDE objects
rspde.mesh.project.inla.mesh.1d Calculate a lattice projection to/from an 'inla.mesh' for rSPDE objects
rspde.mesh.project.rspde.mesh.projector Calculate a lattice projection to/from an 'inla.mesh' for rSPDE objects
rspde.mesh.projector Calculate a lattice projection to/from an 'inla.mesh' for rSPDE objects
rspde.metric_graph Matern rSPDE model object for metric graphs in INLA
rspde.result rSPDE result extraction from INLA estimation results
rspde.spacetime Space-Time Random Fields via SPDE Approximation
rspde_lme rSPDE linear mixed effects models

-- S --

Sigma.mult Operations with the Pr and Pl operators
Sigma.solve Operations with the Pr and Pl operators
simulate.CBrSPDEobj Simulation of a fractional SPDE using the covariance-based rational SPDE approximation
simulate.CBrSPDEobj2d Simulation of a fractional SPDE using the covariance-based rational SPDE approximation
simulate.intrinsicCBrSPDEobj Simulation of a fractional intrinsic SPDE using the covariance-based rational SPDE approximation
simulate.rSPDEobj Simulation of a fractional SPDE using a rational SPDE approximation
simulate.rSPDEobj1d Simulation of a Matern field using a rational SPDE approximation
simulate.spacetimeobj Simulation of space-time models
spacetime.operators Space-time random fields
spde.make.A Observation/prediction matrices for rSPDE models with integer smoothness.
spde.matern.loglike Parameter-based log-likelihood for a latent Gaussian Matern SPDE model using a rational SPDE approximation
spde.matern.operators Rational approximations of non-stationary Gaussian SPDE Matern random fields
summary.CBrSPDEobj Summarise CBrSPDE objects
summary.CBrSPDEobj2d Summarise CBrSPDEobj2d objects
summary.rSPDEobj Summarise rSPDE objects
summary.rSPDEobj1d Summarise rSPDE objects without FEM
summary.rspde_lme Summary Method for 'rspde_lme' Objects.
summary.rspde_result Summary for posteriors of field parameters for an 'inla_rspde' model from a 'rspde_result' object
summary.spacetimeobj Summarise spacetime objects

-- T --

transform_parameters_anisotropic Transform Anisotropic SPDE Model Parameters to Original Scale
transform_parameters_spacetime Transform Spacetime SPDE Model Parameters to Original Scale

-- U --

update.CBrSPDEobj Update parameters of CBrSPDEobj objects
update.CBrSPDEobj2d Update parameters of CBrSPDEobj2d objects
update.rSPDEobj Update parameters of rSPDEobj objects
update.rSPDEobj1d Update parameters of rSPDEobj1d objects
update.spacetimeobj Update parameters of spacetimeobj objects

-- V --

variogram.intrinsic.spde Variogram of intrinsic SPDE model