# Rational Approximations of Fractional Stochastic Partial Differential Equations

## Documentation for package ‘rSPDE’ version 2.3.2

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

## Help Pages

bru_get_mapper.inla_rspde | rSPDE inlabru mapper
construct.spde.matern.loglike | Constructor of Matern loglikelihood functions for non-stationary models.
cross_validation | Perform cross-validation on a list of fitted models.
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
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
ibm_jacobian.bru_mapper_inla_rspde | rSPDE inlabru mapper
ibm_n.bru_mapper_inla_rspde | rSPDE inlabru mapper
ibm_values.bru_mapper_inla_rspde | rSPDE inlabru mapper
intrinsic.matern.operators | Covariance-based approximations of intrinsic fields
matern.covariance | The Matern covariance function
matern.operators | Rational approximations of stationary Gaussian Matern random fields
operator.operations | Operations with the Pr and Pl operators
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.inla_rspde | Get the precision matrix of 'inla_rspde' objects
predict.CBrSPDEobj | Prediction of a fractional SPDE using the covariance-based rational SPDE approximation
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.
print.CBrSPDEobj | Summarise CBrSPDE objects
print.rSPDEobj | Summarise rSPDE objects
print.summary.CBrSPDEobj | Summarise CBrSPDE objects
print.summary.rSPDEobj | Summarise rSPDE objects
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
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.construct.matern.loglike | Constructor of Matern loglikelihood functions.
rSPDE.fem1d | Finite element calculations for problems on R
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.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.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_lme | rSPDE linear mixed effects models
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.rSPDEobj | Simulation of a fractional SPDE using a rational SPDE approximation
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.rSPDEobj | Summarise rSPDE objects
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
update.CBrSPDEobj | Update parameters of CBrSPDEobj objects
update.rSPDEobj | Update parameters of rSPDEobj objects
variogram.intrinsic.spde | Variogram of intrinsic SPDE model