TY - JOUR
AU - Guidotti, Emanuele
PY - 2022/09/29
Y2 - 2022/12/10
TI - calculus: High-Dimensional Numerical and Symbolic Calculus in R
JF - Journal of Statistical Software
JA - J. Stat. Soft.
VL - 104
IS - 1
SE - Articles
DO - 10.18637/jss.v104.i05
UR - https://www.jstatsoft.org/index.php/jss/article/view/v104i05
SP - 1 - 37
AB - <p>The R package calculus implements C++-optimized functions for numerical and symbolic calculus, such as the Einstein summing convention, fast computation of the LeviCivita symbol and generalized Kronecker delta, Taylor series expansion, multivariate Hermite polynomials, high-order derivatives, ordinary differential equations, differential operators and numerical integration in arbitrary orthogonal coordinate systems. The library applies numerical methods when working with functions, or symbolic programming when working with characters or expressions. The package handles multivariate numerical calculus in arbitrary dimensions and coordinates. It implements the symbolic counterpart of the numerical methods whenever possible, without depending on external computer algebra systems. Except for Rcpp, the package has no strict dependencies in order to provide a stable self-contained toolbox that invites re-use.</p>
ER -