calculus

High Dimensional Numerical and Symbolic Calculus

CRAN Package

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.


Documentation


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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.

Sun
Mon
Tue
Wed
Thu
Fri
Sat
0 downloadsMar 2, 2025
81 downloadsMar 3, 2025
69 downloadsMar 4, 2025
112 downloadsMar 5, 2025
76 downloadsMar 6, 2025
48 downloadsMar 7, 2025
31 downloadsMar 8, 2025
29 downloadsMar 9, 2025
85 downloadsMar 10, 2025
90 downloadsMar 11, 2025
67 downloadsMar 12, 2025
62 downloadsMar 13, 2025
61 downloadsMar 14, 2025
65 downloadsMar 15, 2025
39 downloadsMar 16, 2025
76 downloadsMar 17, 2025
87 downloadsMar 18, 2025
137 downloadsMar 19, 2025
109 downloadsMar 20, 2025
68 downloadsMar 21, 2025
46 downloadsMar 22, 2025
59 downloadsMar 23, 2025
84 downloadsMar 24, 2025
74 downloadsMar 25, 2025
96 downloadsMar 26, 2025
68 downloadsMar 27, 2025
101 downloadsMar 28, 2025
25 downloadsMar 29, 2025
44 downloadsMar 30, 2025
118 downloadsMar 31, 2025
103 downloadsApr 1, 2025
0 downloadsApr 2, 2025
0 downloadsApr 3, 2025
0 downloadsApr 4, 2025
0 downloadsApr 5, 2025
25
137

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.

Data provided by CRAN


Binaries


Dependencies

  • Imports1 package
  • Suggests4 packages
  • Linking To1 package
  • Reverse Imports4 packages