Rational Approximations of Fractional Stochastic Partial
Differential Equations
![[R logo]](../../../doc/html/Rlogo.svg)
![[Up]](../../../doc/html/left.jpg)
![[Top]](../../../doc/html/up.jpg)
Documentation for package ‘rSPDE’ version 2.4.0
Help Pages
| 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 |