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
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