calculus: High Dimensional Numerical and Symbolic Calculus
Efficient C++ optimized functions for numerical and symbolic calculus as described in Guidotti (2022) tools:::Rd_expr_doi("10.18637/jss.v104.i05") . It includes basic arithmetic, tensor calculus, Einstein summing convention, fast computation of the Levi-Civita symbol and generalized Kronecker delta, Taylor series expansion, multivariate Hermite polynomials, high-order derivatives, ordinary differential equations, differential operators (Gradient, Jacobian, Hessian, Divergence, Curl, Laplacian) and numerical integration in arbitrary orthogonal coordinate systems: cartesian, polar, spherical, cylindrical, parabolic or user defined by custom scale factors. package
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Maintainer : Emanuele Guidotti emanuele.guidotti@unine.ch (ORCID)