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calculus: High Dimensional Numerical and Symbolic Calculus
Efficient C++ optimized functions for numerical and symbolic calculus as described in Guidotti (2022) <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.
Getting started
Package overview
README.md
Differential operators in arbitrary orthogonal coordinates systems
Einstein summation convention
Hermite polynomials
High order derivatives of multivariate functions
Multiple integrals in arbitrary orthogonal coordinates systems
Ordinary differential equations
Taylor series of multivariate functions
Browse package contents
Package details |
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| Author | Emanuele Guidotti [aut, cre] (ORCID: <https://orcid.org/0000-0002-8961-6623>) |
| Maintainer | Emanuele Guidotti <emanuele.guidotti@usi.ch> |
| License | GPL-3 |
| Version | 1.1.0 |
| URL | https://calculus.eguidotti.com |
| Package repository | View on CRAN |
| Installation |
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