# Rational Approximations of Fractional Stochastic Partial Differential Equations

## Documentation for package ‘rSPDE’ version 2.5.1

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Package NEWS.

## Help Pages

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_fintrinsic | rSPDE 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 for cross-validation
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

## -- I --

ibm_jacobian.bru_mapper_inla_rspde | rSPDE inlabru mapper
ibm_jacobian.bru_mapper_inla_rspde_fintrinsic | 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_fintrinsic | 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_fintrinsic | rSPDE inlabru mapper
ibm_values.bru_mapper_inla_rspde_matern1d | rSPDE stationary inlabru mapper
intrinsic.matern.operators | Covariance-based approximations of intrinsic fields
intrinsic.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.intrinsicCBrSPDEobj | Get the precision matrix of intrinsicCBrSPDEobj 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.intrinsicCBrSPDEobj | Prediction of an intrinsic Whittle-Matern model
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.intrinsicCBrSPDEobj | Summary method for class "intrinsicCBrSPDEobj"
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.intrinsicCBrSPDEobj | Summary method for class "intrinsicCBrSPDEobj"
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 | Rational approximations of fractional intrinsic fields
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.intrinsicCBrSPDEobj | Summary method for class "intrinsicCBrSPDEobj"
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.intrinsicCBrSPDEobj | Update parameters of intrinsicCBrSPDEobj 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