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eguidotti
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.
Maintained by Emanuele Guidotti. Last updated 2 years ago.
calculuscoordinate-systemscurldivergenceeinsteinfinite-differencegradienthermitehessianjacobianlaplaciannumerical-derivationnumerical-derivativesnumerical-differentiationsymbolic-computationsymbolic-differentiationtaylorcpp
47 stars 8.98 score 66 scripts 7 dependents
stla
symbolicQspray:Multivariate Polynomials with Symbolic Parameters in their Coefficients
Introduces the 'symbolicQspray' objects. Such an object represents a multivariate polynomial whose coefficients are fractions of multivariate polynomials with rational coefficients. The package allows arithmetic on such polynomials. It is based on the 'qspray' and 'ratioOfQsprays' packages. Some functions for 'qspray' polynomials have their counterpart for 'symbolicQspray' polynomials. A 'symbolicQspray' polynomial should not be seen as a polynomial on the field of fractions of rational polynomials, but should rather be seen as a polynomial with rational coefficients depending on some parameters, symbolically represented, with a dependence given by fractions of rational polynomials.
Maintained by Stéphane Laurent. Last updated 8 months ago.
multivariate-polynomialssymbolic-computationgmpcpp
4.33 score 18 scripts 1 dependents