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.
- Version1.0.1
- R versionunknown
- LicenseGPL-3
- Needs compilation?Yes
- calculus citation info
- Last release03/09/2023
Documentation
- VignetteHigh order derivatives of multivariate functions
- VignetteDifferential operators in arbitrary orthogonal coordinates systems
- VignetteEinstein summation convention
- VignetteHermite polynomials
- VignetteMultiple integrals in arbitrary orthogonal coordinates systems
- VignetteOrdinary differential equations
- VignetteTaylor series of multivariate functions
- MaterialREADME
- MaterialNEWS
- In ViewsNumericalMathematics
Team
Emanuele Guidotti
Insights
Last 30 days
This package has been downloaded 2,210 times in the last 30 days. Now we’re talking! This work is officially 'heard of in academic circles', just like those wild research papers on synthetic bananas. The following heatmap shows the distribution of downloads per day. Yesterday, it was downloaded 103 times.
The following line graph shows the downloads per day. You can hover over the graph to see the exact number of downloads per day.
Last 365 days
This package has been downloaded 18,430 times in the last 365 days. The downloads are officially high enough to crash an underfunded departmental server. Quite an accomplishment! The day with the most downloads was Nov 27, 2024 with 184 downloads.
The following line graph shows the downloads per day. You can hover over the graph to see the exact number of downloads per day.
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Dependencies
- Imports1 package
- Suggests4 packages
- Linking To1 package
- Reverse Imports4 packages