• Ricci

  • Referenced in 14 articles [sw16359]
  • Mathematica package for doing symbolic tensor computations that arise in differential geometry...
  • Maxima

  • Referenced in 161 articles [sw00560]
  • system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace ... polynomials, and sets, lists, vectors, matrices, and tensors. Maxima yields high precision numeric results ... data in two and three dimensions. Computer algebra system...
  • MapleTensor

  • Referenced in 4 articles [sw01158]
  • performing indicial and component tensor calculations using symbolic computation...
  • GRAMA

  • Referenced in 1 article [sw28385]
  • Mathematica package for doing symbolic tensor computations and complicated algebraic manipulations in 10-dimensional...
  • BIGEBRA

  • Referenced in 19 articles [sw00078]
  • fields through direct calculations using symbolic manipulation and computer algebra system (CAS). We discuss problems ... package for Maple and CLIFFORD to handle tensor products, Graßmann and Clifford algebras, coalgebras...
  • RTNI

  • Referenced in 4 articles [sw28081]
  • RTNI - A symbolic integrator for Haar-random tensor networks. We provide a computer algebra package ... compute averages of tensor networks containing multiple Haar-distributed random unitary matrices and deterministic symbolic...
  • Package-X

  • Referenced in 13 articles [sw18225]
  • dimensions is described. Package-X computes arbitrarily high rank tensor integrals with up to three ... readily evaluated numerically and manipulated symbolically with built-in Mathematica functions. Emphasis is on evaluation ... friendliness. Also included is a routine to compute traces of products of Dirac matrices...
  • HEPMath

  • Referenced in 4 articles [sw20375]
  • Mathematica package which facilitates the implementation of computational algorithms for High Energy Physics in Mathematica ... main features are: Consistent integration of tensors with symbolic indices and index contractions in Mathematica ... expand, collect, differentiate etc.) such expressions. Arbitrary tensors and index types can be defined ... colour matrices etc. and their algebraic properties. Computation of traces over Dirac matrices...
  • geodesicCOMMENTED.nb

  • Referenced in 4 articles [sw09362]
  • obtaining the metric tensor explicitly from the Christoffel symbols. The procedure is extended for determining ... apart from the second derivative term. A computer code has been developed for dealing with...
  • ccgrg

  • Referenced in 1 article [sw16161]
  • only difference that the summation symbol appears explicitly. Tensors are functions, not matrixes, and their ... indispensable to realize the final task are computed. The memoization technique prevents repetitive evaluation...
  • MCCEFF

  • Referenced in 5 articles [sw06179]
  • method and symbolic integral calculation of basic probabilistic moments of the homogenized tensor ... integration of the response functions. The hybrid computational implementation of the system MAPLE with homogenization...
  • FeynCalcFormLink

  • Referenced in 2 articles [sw28329]
  • FORM in Mathematica and FeynCalc. FORM, a symbolic manipulation system, has been widely used ... high performance and fficient design. Mathematica, another computational software program, has also widely been used ... friendliness than for speed. Especially calculations involving tensors and noncommutative operations like calculating Dirac traces...
  • opensourceGR

  • Referenced in 1 article [sw27185]
  • Symbolic and numerical analysis in general relativity with open source computer algebra systems. We study ... three computer algebra systems, namely SageMath (with SageManifolds package), Maxima (with ctensor package) and Python ... language (with GraviPy module), which allow tensor manipulation for general relativity calculations along with general...
  • TensoriaCalc

  • Referenced in 1 article [sw32179]
  • calculates geometric objects - Christoffel symbols, the Riemann curvature tensor, Ricci tensor and scalar, etc. - given ... basic operations such as covariant derivatives of tensors. Development is ongoing, and is expected ... abstract tensor manipulation package similar to xAct, but also allowing for concrete computations such...
  • GRACE

  • Referenced in 3 articles [sw11987]
  • generation, the symbolic calculation at an intermediate level of the Dirac and tensor algebra, implementation ... with existing results on some one-loop computation in the Standard Model show excellent agreement...
  • ADOL-C

  • Referenced in 247 articles [sw00019]
  • ADOL-C: Automatic Differentiation of C/C++. We present...
  • ATENSOR

  • Referenced in 12 articles [sw00055]
  • ATENSOR - REDUCE program for tensor simplification. Nature of...
  • ATLAS

  • Referenced in 198 articles [sw00056]
  • This paper describes the Automatically Tuned Linear Algebra...
  • Cadabra

  • Referenced in 87 articles [sw00097]
  • Cadabra is a powerful computer program for the...
  • Canon

  • Referenced in 5 articles [sw00102]
  • The Canon package: a fast kernel for tensor...