calculus

calculus-package

<img src="figures/logo.png?package=calculus&version=1.0.1" style="float: right" alt="logo" width="120">
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.

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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.

Emanuele Guidotti

High Dimensional Numerical and Symbolic Calculus

calculus-package function

Maintainer: Emanuele Guidotti <a href="/link/emanuele.guidotti%40unine.ch?package=calculus&version=1.0.1" data-mini-rdoc="calculus::emanuele.guidotti@unine.ch">emanuele.guidotti@unine.ch</a> (<a href="https://orcid.org/0000-0002-8961-6623">ORCID</a>)

Author

<img src='figures/logo.png' style='float: right' alt='logo' width='120' />
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.

calculus: High Dimensional Numerical and Symbolic Calculus — calculus-package

Maintainer: Emanuele Guidotti <a href='mailto:emanuele.guidotti@unine.ch'>emanuele.guidotti@unine.ch</a> (<a href='https://orcid.org/0000-0002-8961-6623'>ORCID</a>)

calculus-package: calculus: High Dimensional Numerical and Symbolic Calculus

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