# Rational Approximations of Fractional Stochastic Partial Differential Equations

## Documentation for package ‘rSPDE’ version 1.1.1

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

## Help Pages

folded.matern.covariance | The folded Matern covariance function
fractional.operators | Rational approximations of fractional operators
get.inital.values.rSPDE | Initial values for log-likelihood optimization in rSPDE models with a latent stationary Gaussian Matern model
get.sparsity.graph.rspde | Sparsity graph for rSPDE models
matern.covariance | The Matern covariance function
matern.loglike | Parameter-based log-likelihood for a latent Gaussian Matern model using a rational SPDE approximation
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
plot.rspde.result | Posterior plots for field parameters for an 'inla.rspde' model from a 'rspde.result' object
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
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
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
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.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.precision | Precision matrices for 'inla.rspde' objects
rspde.result | rSPDE result extraction from INLA estimation results
Sigma.mult | Operations with the Pr and Pl operators
Sigma.solve | Operations with the Pr and Pl operators
simulate | Simulation of a fractional SPDE using a rational SPDE approximation
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.rspde.result | Summary for posteriors of field parameters for an 'inla.rspde' model from a 'rspde.result' object
summary.rSPDEobj | Summarise rSPDE objects
update.CBrSPDEobj | Update parameters of CBrSPDEobj objects
update.rSPDEobj | Update parameters of rSPDEobj objects