[Rd] Task View on Numerical Analysis and Differential Equations
Hans W Borchers
hwborchers at googlemail.com
Thu Mar 8 12:16:54 CET 2012
I am wondering if it would be time to have a new Task View, this time
for the subject of "Numerical Analysis and Differential Equations".
The list of packages possibly appearing in such a task view is already
quite long and could, for example, include:
Numerical Analysis and Linear Algebra
Bessel Bessel Functions Computations and Approximations
cubature Adaptive multivariate integration over hypercubes
elliptic Elliptic and related functions
expm Matrix exponential, logarithm, etc.
fdim Functions for calculating fractal dimension
gaussquad Collection of functions for Gaussian quadrature
gmp Multiple precision arithmetic
gsl Wrapper for the Gnu Scientific Library
hypergeo The hypergeometric function
irlba Fast partial SVD by Lanczos bidiagonalization
matlab MATLAB emulation package
multipol Multivariate polynomials
numDeriv Accurate numerical derivatives
onion Octonions and quaternions
orthogonalsplinebasis Orthogonal Bspline basis functions
orthopolynom Functions for orthogonal and orthonormal polynomials
polspline Polynomial spline routines
polynom Implement a class for univariate polynomial manipulations
PolynomF Polynomials in R
pracma Practical numerical math functions
pspline Penalized smoothing splines
quaternions Arithmetics and linear algebra with quaternions
R2Cuba Multidimensional numerical integration
RcppArmadillo Rcpp integration for Armadillo templated linear algebra library
RcppEigen Rcpp integration for the Eigen templated linear algebra library
RcppOctave Rcpp integration of Octave
R.matlab Read and write of MAT files and R-to-Matlab connectivity
Rmpfr Multiple precision floating-point reliable
sparseGrid Sparse grid integration in R
spuRs Functions and datasets scientific programming and simulation
sspline Smoothing splines on the sphere
stinepack Stineman: consistently well behaved method of interpolation
svd Interfaces to various state-of-art SVD and eigensolvers
voronoi Methods and applications related to Voronoi tessellations
wavelets...
Simulation and Differential Equations
bvpSolve Solvers for boundary value problems of ODEs
ddesolve Solver for Delay Differential Equations
deSolve General solvers for initial value problems of ordinary
differential equations (ODE), partial differential equations
(PDE), differential algebraic equations (DAE), and delay
differential equations (DDE)
deTestSet Testset for differential equations
odesolve Solvers for Ordinary Differential Equations
PBSddesolve Solver for Delay Differential Equations
rootSolve Root finding, equilibrium and steady-state analysis of ODEs
sde Simulation and Inference for Stochastic Differential Equations
Sim.DiffProc Simulation of diffusion processes
simecol Simulation of ecological and other dynamic systems
and probably many more in the end. I left out the optimization
packages deliberately, but of course there would be a strong hint to
that task view.
Regards
Hans Werner Borchers
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